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Guyot
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@ -4,10 +4,7 @@
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\catcode `!\active
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\catcode `?\active
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\@input{Prefaces/Prefaces.aux}
|
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\select@language{french}
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\@writefile{toc}{\select@language{french}}
|
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\@writefile{lof}{\select@language{french}}
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\@writefile{lot}{\select@language{french}}
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\babel@aux{french}{}
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\@input{Cinematique/Cinematique.aux}
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\@input{Dynamique/Dynamique.aux}
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|
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Binary file not shown.
@ -1,4 +1,4 @@
|
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\@doanenote {2}
|
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\@doanenote {1}
|
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macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -19,7 +19,7 @@ Remerciements
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {4}
|
||||
\@doanenote {2}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -39,7 +39,7 @@ Remerciements
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {5}
|
||||
\@doanenote {3}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -49,7 +49,7 @@ Wikipedia~:
|
||||
\url
|
||||
=http://en.wikipedia.org/wiki/Image:Giordano_Bruno.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {7}
|
||||
\@doanenote {4}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -59,7 +59,7 @@ wikipedia~:
|
||||
\url
|
||||
=http://commons.wikimedia.org/wiki/Image:Vie_du_soleil.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {9}
|
||||
\@doanenote {5}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -81,7 +81,7 @@ auteur
|
||||
Greg
|
||||
Goebel.
|
||||
\@endanenote
|
||||
\@doanenote {11}
|
||||
\@doanenote {6}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -96,7 +96,7 @@ Remerciements
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {13}
|
||||
\@doanenote {7}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -110,6 +110,71 @@ Remerciements
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {8}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
du
|
||||
télescope
|
||||
spatial
|
||||
Hubble~:
|
||||
ibid.
|
||||
Remerciements
|
||||
à
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {9}
|
||||
macro:->Voir~:
|
||||
\extrasol
|
||||
{}
|
||||
\@endanenote
|
||||
\@doanenote {10}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
de
|
||||
Hubble~:
|
||||
\url
|
||||
=http://hubblesite.org/newscenter/archive/releases/2005/03/image/a/=
|
||||
\@endanenote
|
||||
\@doanenote {11}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
de
|
||||
l'encyclopédie
|
||||
wikipedia~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Solar_sys.jpg=
|
||||
Remerciements
|
||||
à
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {12}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
de
|
||||
l'encyclopédie~:
|
||||
\planete
|
||||
{}
|
||||
Remerciements
|
||||
à
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {13}
|
||||
macro:->voir~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Nuage_de_Oort=
|
||||
\@endanenote
|
||||
\@doanenote {14}
|
||||
macro:->Voir
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Leonides=
|
||||
\@endanenote
|
||||
\@doanenote {15}
|
||||
macro:->Voir
|
||||
le
|
||||
@ -125,71 +190,6 @@ la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {16}
|
||||
macro:->Voir~:
|
||||
\extrasol
|
||||
{}
|
||||
\@endanenote
|
||||
\@doanenote {18}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
de
|
||||
Hubble~:
|
||||
\url
|
||||
=http://hubblesite.org/newscenter/archive/releases/2005/03/image/a/=
|
||||
\@endanenote
|
||||
\@doanenote {20}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
de
|
||||
l'encyclopédie
|
||||
wikipedia~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Solar_sys.jpg=
|
||||
Remerciements
|
||||
à
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {22}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
de
|
||||
l'encyclopédie~:
|
||||
\planete
|
||||
{}
|
||||
Remerciements
|
||||
à
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {23}
|
||||
macro:->voir~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Nuage_de_Oort=
|
||||
\@endanenote
|
||||
\@doanenote {24}
|
||||
macro:->Voir
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Leonides=
|
||||
\@endanenote
|
||||
\@doanenote {26}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
du
|
||||
télescope
|
||||
spatial
|
||||
Hubble~:
|
||||
ibid.
|
||||
Remerciements
|
||||
à
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {28}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -199,7 +199,7 @@ wikipedia~:
|
||||
\url
|
||||
=http://commons.wikimedia.org/wiki/Image:Leonid_Meteor_Storm_1833.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {30}
|
||||
\@doanenote {17}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -213,7 +213,7 @@ Remerciements
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {32}
|
||||
\@doanenote {18}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -222,7 +222,7 @@ l'encyclopédie~:
|
||||
\url
|
||||
=http://commons.wikimedia.org/wiki/Image:TerreOrbiteLuneEtPhases.png=
|
||||
\@endanenote
|
||||
\@doanenote {34}
|
||||
\@doanenote {19}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -232,7 +232,7 @@ Wikipedia~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Orbite-lune-soleil.png=
|
||||
\@endanenote
|
||||
\@doanenote {35}
|
||||
\@doanenote {20}
|
||||
macro:->Voir
|
||||
aux
|
||||
sujet
|
||||
@ -247,7 +247,7 @@ mécanique
|
||||
céleste~:
|
||||
http://www.imcce.fr/
|
||||
\@endanenote
|
||||
\@doanenote {37}
|
||||
\@doanenote {21}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -263,7 +263,7 @@ copyright
|
||||
de
|
||||
l'image.
|
||||
\@endanenote
|
||||
\@doanenote {39}
|
||||
\@doanenote {22}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -287,7 +287,7 @@ Dang
|
||||
Ngoc
|
||||
Chan.
|
||||
\@endanenote
|
||||
\@doanenote {41}
|
||||
\@doanenote {23}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -308,7 +308,7 @@ son
|
||||
auteur
|
||||
Pickwick.
|
||||
\@endanenote
|
||||
\@doanenote {43}
|
||||
\@doanenote {24}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -324,12 +324,12 @@ copyright
|
||||
de
|
||||
l'image.
|
||||
\@endanenote
|
||||
\@doanenote {44}
|
||||
\@doanenote {25}
|
||||
macro:->Voir~:
|
||||
\url
|
||||
=http://cui.unige.ch/isi/ssc/phys/Rubbia-Klapisch.html=
|
||||
\@endanenote
|
||||
\@doanenote {46}
|
||||
\@doanenote {26}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -345,14 +345,14 @@ copyright)~:
|
||||
\url
|
||||
=http://grin.hq.nasa.gov/ABSTRACTS/GPN-2002-000069.html=
|
||||
\@endanenote
|
||||
\@doanenote {47}
|
||||
\@doanenote {27}
|
||||
macro:->Les
|
||||
missions
|
||||
Apollo~:
|
||||
\url
|
||||
=http://perso.wanadoo.fr/alexandre.schwenk/index.htm=
|
||||
\@endanenote
|
||||
\@doanenote {49}
|
||||
\@doanenote {28}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -367,12 +367,12 @@ copyright)~:
|
||||
\url
|
||||
=http://commons.wikimedia.org/wiki/Image:Andromeda_collision.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {50}
|
||||
\@doanenote {29}
|
||||
macro:->Voir
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Galilee.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {51}
|
||||
\@doanenote {30}
|
||||
macro:->Mes
|
||||
plus
|
||||
vifs
|
||||
@ -398,12 +398,12 @@ est~:
|
||||
\url
|
||||
|http://photos.aip.org/quickSearch.jsp?qsearch=Newton+isaac+H5&group=10&Submit=GO|
|
||||
\@endanenote
|
||||
\@doanenote {52}
|
||||
\@doanenote {31}
|
||||
macro:->Voir
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Johannes_Kepler_1610.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {54}
|
||||
\@doanenote {32}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -418,22 +418,22 @@ copyright
|
||||
de
|
||||
l'image.
|
||||
\@endanenote
|
||||
\@doanenote {55}
|
||||
\@doanenote {33}
|
||||
macro:->Voir
|
||||
\aristote
|
||||
{}
|
||||
\@endanenote
|
||||
\@doanenote {56}
|
||||
\@doanenote {34}
|
||||
macro:->Voir
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Aristotle_by_Raphael.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {57}
|
||||
\@doanenote {35}
|
||||
macro:->Voir
|
||||
\url
|
||||
=http://en.wikipedia.org/wiki/Image:GodfreyKneller-IsaacNewton-1689.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {59}
|
||||
\@doanenote {36}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -449,13 +449,13 @@ copyright
|
||||
de
|
||||
l'image.
|
||||
\@endanenote
|
||||
\@doanenote {60}
|
||||
\@doanenote {37}
|
||||
macro:->Voir
|
||||
wikicommons~:
|
||||
\url
|
||||
{http://upload.wikimedia.org/wikipedia/commons/1/1b/Wikiman\_1m80.svg}
|
||||
\@endanenote
|
||||
\@doanenote {62}
|
||||
\@doanenote {38}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -465,7 +465,7 @@ Wikipedia~:
|
||||
\url
|
||||
=http://commons.wikimedia.org/wiki/Image:Rollercoaster_Tornado_Avonturenpark_Hellendoorn_Netherlands.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {63}
|
||||
\@doanenote {39}
|
||||
macro:->Une
|
||||
excellente
|
||||
analyse
|
||||
@ -488,7 +488,7 @@ l'adresse
|
||||
\url
|
||||
{http://owl-ge.ch/IMG/pdf/choc_2D_avec_citation.pdf}
|
||||
\@endanenote
|
||||
\@doanenote {65}
|
||||
\@doanenote {40}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -498,7 +498,7 @@ Wikipedia~:
|
||||
\url
|
||||
=http://commons.wikimedia.org/wiki/Image:Finowkanal-treidel.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {67}
|
||||
\@doanenote {41}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -508,14 +508,14 @@ Wikipedia~:
|
||||
\url
|
||||
=http://commons.wikimedia.org/wiki/Image:Mozaic-garden009.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {69}
|
||||
\@doanenote {42}
|
||||
macro:->Voir
|
||||
le
|
||||
site~:
|
||||
\url
|
||||
=http://www.emosson-lac.ch/barrage.htm=
|
||||
\@endanenote
|
||||
\@doanenote {71}
|
||||
\@doanenote {43}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -525,7 +525,7 @@ Wikipedia~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:S_vs_pelton_schnitt_1_zoom.png=
|
||||
\@endanenote
|
||||
\@doanenote {73}
|
||||
\@doanenote {44}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -534,7 +534,7 @@ l'encyclopédie~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Photoelectric_effect.png=
|
||||
\@endanenote
|
||||
\@doanenote {75}
|
||||
\@doanenote {45}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -543,7 +543,7 @@ l'encyclopédie~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:4inch_poly_solar_cell.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {76}
|
||||
\@doanenote {46}
|
||||
macro:->voir
|
||||
le
|
||||
site
|
||||
@ -551,7 +551,7 @@ OutilsSolaires~:
|
||||
\url
|
||||
=http://www.outilssolaires.com/pv/prin-bilan.htm=
|
||||
\@endanenote
|
||||
\@doanenote {77}
|
||||
\@doanenote {47}
|
||||
macro:->voir
|
||||
aussi
|
||||
l'étude~:
|
||||
@ -574,7 +574,7 @@ l'adresse~:
|
||||
\url
|
||||
=http://www.eupvplatform.org/fileadmin/Documents/Brochure-indicateurs_26_pays.pdf=
|
||||
\@endanenote
|
||||
\@doanenote {79}
|
||||
\@doanenote {48}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -583,7 +583,7 @@ l'encyclopédie~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Tableau-lindal.jpg=
|
||||
\@endanenote
|
||||
\@doanenote {80}
|
||||
\@doanenote {49}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -592,7 +592,7 @@ l'encyclopédie~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Boiling_nuclear_reactor.png=
|
||||
\@endanenote
|
||||
\@doanenote {82}
|
||||
\@doanenote {50}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -601,28 +601,28 @@ l'encyclopédie~:
|
||||
\url
|
||||
=http://commons.wikimedia.org/wiki/Image:Combustion_methane.png=
|
||||
\@endanenote
|
||||
\@doanenote {83}
|
||||
\@doanenote {51}
|
||||
macro:->Voir
|
||||
Wikipedia
|
||||
:
|
||||
\url
|
||||
|https://fr.wikipedia.org/wiki/Principe_de_moindre_action|
|
||||
\@endanenote
|
||||
\@doanenote {84}
|
||||
\@doanenote {52}
|
||||
macro:->Voir
|
||||
Wikipedia
|
||||
:
|
||||
\url
|
||||
{https://fr.wikipedia.org/wiki/Principe_de_moindre_action_et_mécanique_classique}
|
||||
\@endanenote
|
||||
\@doanenote {85}
|
||||
\@doanenote {53}
|
||||
macro:->Voir
|
||||
Wikipedia
|
||||
:
|
||||
\url
|
||||
{https://fr.wikipedia.org/wiki/Principe_de_moindre_action_et_mécanique_classique}
|
||||
\@endanenote
|
||||
\@doanenote {87}
|
||||
\@doanenote {54}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -647,12 +647,12 @@ pour
|
||||
le
|
||||
copyright.
|
||||
\@endanenote
|
||||
\@doanenote {88}
|
||||
\@doanenote {55}
|
||||
macro:->Voir
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Image:Sadi_Carnot.jpeg=
|
||||
\@endanenote
|
||||
\@doanenote {89}
|
||||
\@doanenote {56}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -660,13 +660,13 @@ de
|
||||
l'encyclopédie~:\\
|
||||
http://fr.wikipedia.org/wiki/Masse\_atomique
|
||||
\@endanenote
|
||||
\@doanenote {91}
|
||||
\@doanenote {57}
|
||||
macro:->Voir
|
||||
Wikipedia~:
|
||||
\url
|
||||
=http://fr.wikipedia.org/wiki/Fichier:4-Stroke-Engine.gif=
|
||||
\@endanenote
|
||||
\@doanenote {93}
|
||||
\@doanenote {58}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -688,15 +688,15 @@ auteur
|
||||
Luc
|
||||
Viatour.
|
||||
\@endanenote
|
||||
\@doanenote {94}
|
||||
\@doanenote {59}
|
||||
macro:->\url
|
||||
=http://www.iap.fr/InformationCommunication/ArticlesGrandPublic/Etoiles/Transit/transit_parallaxe_mars_1672.html=
|
||||
\@endanenote
|
||||
\@doanenote {95}
|
||||
\@doanenote {60}
|
||||
macro:->\url
|
||||
=http://www.iap.fr/InformationCommunication/ArticlesGrandPublic/Etoiles/Transit/transit_parallaxe_mars_1672.html=
|
||||
\@endanenote
|
||||
\@doanenote {97}
|
||||
\@doanenote {61}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -712,7 +712,7 @@ copyright
|
||||
de
|
||||
l'image.
|
||||
\@endanenote
|
||||
\@doanenote {99}
|
||||
\@doanenote {62}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -731,14 +731,14 @@ Remerciements
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {100}
|
||||
\@doanenote {63}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
\url
|
||||
=http://www.dil.univ-mrs.fr/~gispert/enseignement/astronomie/5eme_partie/voieLactee.php=
|
||||
\@endanenote
|
||||
\@doanenote {102}
|
||||
\@doanenote {64}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -748,7 +748,7 @@ Wikipedia~:
|
||||
\url
|
||||
=http://commons.wikimedia.org/wiki/Image:Galileo_Galilei\%2C_Discorsi_e_Dimostrazioni_Matematiche_Intorno_a_Due_Nuove_Scienze\%2C_1638_\%281400x1400\%29.png=.
|
||||
\@endanenote
|
||||
\@doanenote {104}
|
||||
\@doanenote {65}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -768,7 +768,7 @@ Remerciements
|
||||
la
|
||||
NASA.
|
||||
\@endanenote
|
||||
\@doanenote {106}
|
||||
\@doanenote {66}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -790,7 +790,7 @@ auteur
|
||||
Samuel
|
||||
Wantman.
|
||||
\@endanenote
|
||||
\@doanenote {108}
|
||||
\@doanenote {67}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -806,7 +806,7 @@ copyright
|
||||
de
|
||||
l'image.
|
||||
\@endanenote
|
||||
\@doanenote {109}
|
||||
\@doanenote {68}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -815,7 +815,7 @@ RhônEole~:
|
||||
\url
|
||||
=http://www.rhoneole.ch/=
|
||||
\@endanenote
|
||||
\@doanenote {110}
|
||||
\@doanenote {69}
|
||||
macro:->Voir
|
||||
le
|
||||
site
|
||||
@ -824,7 +824,7 @@ Juvent~:
|
||||
\url
|
||||
=http://www.juvent.ch/=
|
||||
\@endanenote
|
||||
\@doanenote {111}
|
||||
\@doanenote {70}
|
||||
macro:->Voir
|
||||
les
|
||||
sites
|
||||
@ -836,7 +836,7 @@ et
|
||||
\url
|
||||
=http://www.ader.ch/energieaufutur/energies/geothermie/index2.php=
|
||||
\@endanenote
|
||||
\@doanenote {112}
|
||||
\@doanenote {71}
|
||||
macro:->voir
|
||||
dépliant
|
||||
``Nos
|
||||
@ -850,7 +850,7 @@ site~:
|
||||
\url
|
||||
=http://www.cridor.ch/content/doc/brochures.php=
|
||||
\@endanenote
|
||||
\@doanenote {113}
|
||||
\@doanenote {72}
|
||||
macro:->Voir
|
||||
l'article
|
||||
complet
|
||||
|
||||
@ -77,45 +77,45 @@
|
||||
\indexentry{nuage@nuage!de Oort}{26}
|
||||
\indexentry{elliptique@elliptique}{26}
|
||||
\indexentry{orbite@orbite}{26}
|
||||
\indexentry{orbite@orbite}{26}
|
||||
\indexentry{etoile@\IeC {\'e}toile!filante}{26}
|
||||
\indexentry{radian@radian}{26}
|
||||
\indexentry{meteor@m\IeC {\'e}t\IeC {\'e}ore}{26}
|
||||
\indexentry{Leonides@L\IeC {\'e}onides}{26}
|
||||
\indexentry{comete@com\IeC {\`e}te}{26}
|
||||
\indexentry{radian@radian}{26}
|
||||
\indexentry{Terre@Terre}{26}
|
||||
\indexentry{Lune@Lune}{26}
|
||||
\indexentry{Soleil@Soleil}{26}
|
||||
\indexentry{etoile@\IeC {\'e}toile}{26}
|
||||
\indexentry{etoile@\IeC {\'E}toile!Polaire}{26}
|
||||
\indexentry{Grande@Grande!Ourse}{26}
|
||||
\indexentry{axe@axe!de rotation}{26}
|
||||
\indexentry{saison@saison}{26}
|
||||
\indexentry{annee@ann\IeC {\'e}e}{26}
|
||||
\indexentry{orbite@orbite}{26}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{27}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{27}
|
||||
\indexentry{hemisphere@h\IeC {\'e}misph\IeC {\`e}re}{27}
|
||||
\indexentry{orbite@orbite}{27}
|
||||
\indexentry{etoile@\IeC {\'e}toile!filante}{27}
|
||||
\indexentry{radian@radian}{27}
|
||||
\indexentry{meteor@m\IeC {\'e}t\IeC {\'e}ore}{27}
|
||||
\indexentry{Leonides@L\IeC {\'e}onides}{27}
|
||||
\indexentry{comete@com\IeC {\`e}te}{27}
|
||||
\indexentry{radian@radian}{27}
|
||||
\indexentry{Terre@Terre}{27}
|
||||
\indexentry{Lune@Lune}{27}
|
||||
\indexentry{Soleil@Soleil}{27}
|
||||
\indexentry{etoile@\IeC {\'e}toile}{27}
|
||||
\indexentry{etoile@\IeC {\'E}toile!Polaire}{27}
|
||||
\indexentry{Grande@Grande!Ourse}{27}
|
||||
\indexentry{axe@axe!de rotation}{27}
|
||||
\indexentry{saison@saison}{27}
|
||||
\indexentry{toupie@toupie}{27}
|
||||
\indexentry{perigee@p\IeC {\'e}rig\IeC {\'e}e}{27}
|
||||
\indexentry{diametre@diam\IeC {\`e}tre!apparent}{27}
|
||||
\indexentry{apogee@apog\IeC {\'e}e}{27}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!annulaire}{28}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!totale}{28}
|
||||
\indexentry{phase@phase!lunaire}{28}
|
||||
\indexentry{Lune@Lune!Noire}{28}
|
||||
\indexentry{nouvelle@Nouvelle!Lune}{28}
|
||||
\indexentry{quartier@quartier!lunaire}{28}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!solaire}{28}
|
||||
\indexentry{nouvelle@nouvelle!lune}{28}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!lunaire}{28}
|
||||
\indexentry{pleine@pleine!Lune}{28}
|
||||
\indexentry{annee@ann\IeC {\'e}e}{27}
|
||||
\indexentry{orbite@orbite}{27}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{28}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{28}
|
||||
\indexentry{ligne@ligne des n\oe uds}{28}
|
||||
\indexentry{saison@saison!d'\IeC {\'e}clipse}{29}
|
||||
\indexentry{hemisphere@h\IeC {\'e}misph\IeC {\`e}re}{28}
|
||||
\indexentry{saison@saison}{28}
|
||||
\indexentry{toupie@toupie}{29}
|
||||
\indexentry{perigee@p\IeC {\'e}rig\IeC {\'e}e}{29}
|
||||
\indexentry{diametre@diam\IeC {\`e}tre!apparent}{29}
|
||||
\indexentry{apogee@apog\IeC {\'e}e}{29}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!annulaire}{29}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!totale}{29}
|
||||
\indexentry{phase@phase!lunaire}{30}
|
||||
\indexentry{Lune@Lune!Noire}{30}
|
||||
\indexentry{nouvelle@Nouvelle!Lune}{30}
|
||||
\indexentry{quartier@quartier!lunaire}{30}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!solaire}{30}
|
||||
\indexentry{nouvelle@nouvelle!lune}{30}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!lunaire}{30}
|
||||
\indexentry{pleine@pleine!Lune}{30}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{30}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{30}
|
||||
\indexentry{ligne@ligne des n\oe uds}{30}
|
||||
\indexentry{saison@saison!d'\IeC {\'e}clipse}{30}
|
||||
\indexentry{subatomique@subatomique}{32}
|
||||
\indexentry{molecule@mol\IeC {\'e}cule}{32}
|
||||
\indexentry{atome@atome}{32}
|
||||
@ -124,9 +124,9 @@
|
||||
\indexentry{force@force!forte}{32}
|
||||
\indexentry{force@force!de gravitation}{32}
|
||||
\indexentry{atome@atome!naturel}{32}
|
||||
\indexentry{proton@proton}{32}
|
||||
\indexentry{electron@\IeC {\'e}lectron}{32}
|
||||
\indexentry{neutron@neutron}{32}
|
||||
\indexentry{proton@proton}{33}
|
||||
\indexentry{electron@\IeC {\'e}lectron}{33}
|
||||
\indexentry{neutron@neutron}{33}
|
||||
\indexentry{big@big!bang}{33}
|
||||
\indexentry{hydrogene@hydrog\IeC {\`e}ne}{33}
|
||||
\indexentry{deuterium@deut\IeC {\'e}rium}{33}
|
||||
@ -147,12 +147,12 @@
|
||||
\indexentry{atome@atome}{33}
|
||||
\indexentry{trajectoire@trajectoire}{33}
|
||||
\indexentry{particule@particule}{33}
|
||||
\indexentry{onde@onde}{33}
|
||||
\indexentry{particule@particule!\IeC {\'e}l\IeC {\'e}mentaire}{33}
|
||||
\indexentry{electron@\IeC {\'e}lectron}{33}
|
||||
\indexentry{proton@proton}{33}
|
||||
\indexentry{neutron@neutron}{33}
|
||||
\indexentry{particule@particule!\IeC {\'e}l\IeC {\'e}mentaire}{34}
|
||||
\indexentry{onde@onde}{34}
|
||||
\indexentry{particule@particule!\IeC {\'e}l\IeC {\'e}mentaire}{34}
|
||||
\indexentry{electron@\IeC {\'e}lectron}{34}
|
||||
\indexentry{proton@proton}{34}
|
||||
\indexentry{neutron@neutron}{34}
|
||||
\indexentry{principe@principe!d'ind\IeC {\'e}termination}{34}
|
||||
\indexentry{principe@principe!d'incertitude}{34}
|
||||
\indexentry{Heisenberg@Heisenberg}{35}
|
||||
@ -171,7 +171,7 @@
|
||||
\indexentry{nucleon@nucl\IeC {\'e}on}{35}
|
||||
\indexentry{neutrino@neutrino!\IeC {\'e}lectronique}{35}
|
||||
\indexentry{interaction@interaction!fondamentale}{35}
|
||||
\indexentry{graviton@graviton}{35}
|
||||
\indexentry{graviton@graviton}{36}
|
||||
\indexentry{antimatiere@antimati\IeC {\`e}re}{36}
|
||||
\indexentry{positron@positron}{36}
|
||||
\indexentry{mecanique@m\IeC {\'e}canique}{36}
|
||||
@ -1163,7 +1163,7 @@
|
||||
\indexentry{pale}{209}
|
||||
\indexentry{barrage}{209}
|
||||
\indexentry{geothermie@g\IeC {\'e}othermie}{209}
|
||||
\indexentry{forage}{210}
|
||||
\indexentry{forage}{209}
|
||||
\indexentry{energie@\IeC {\'e}nergie!de combustion!des d\IeC {\'e}chets}{210}
|
||||
\indexentry{barrage}{210}
|
||||
\indexentry{Alpha du Centaure}{211}
|
||||
|
||||
@ -1,194 +1,194 @@
|
||||
\select@language {french}
|
||||
\babel@toc {french}{}
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {figure}{\numberline {1.1}{\ignorespaces L'univers profond}}{22}
|
||||
\contentsline {figure}{\numberline {1.2}{\ignorespaces Mod\IeC {\`e}les de courbure}}{22}
|
||||
\contentsline {figure}{\numberline {1.3}{\ignorespaces L'\IeC {\'e}volution du Soleil}}{23}
|
||||
\contentsline {figure}{\numberline {1.4}{\ignorespaces Groupe local}}{24}
|
||||
\contentsline {figure}{\numberline {1.5}{\ignorespaces Galaxie du Sombrero}}{24}
|
||||
\contentsline {figure}{\numberline {1.6}{\ignorespaces Interaction de deux galaxies}}{25}
|
||||
\contentsline {figure}{\numberline {1.7}{\ignorespaces N\IeC {\'e}buleuse plan\IeC {\'e}taire}}{25}
|
||||
\contentsline {figure}{\numberline {1.8}{\ignorespaces Premi\IeC {\`e}re exoplan\IeC {\`e}te}}{25}
|
||||
\contentsline {figure}{\numberline {1.9}{\ignorespaces Syst\IeC {\`e}me solaire}}{27}
|
||||
\contentsline {figure}{\numberline {1.10}{\ignorespaces La taille des plan\IeC {\`e}tes}}{28}
|
||||
\contentsline {figure}{\numberline {1.11}{\ignorespaces La taille des plan\IeC {\`e}tes}}{29}
|
||||
\contentsline {figure}{\numberline {1.12}{\ignorespaces Une com\IeC {\`e}te}}{29}
|
||||
\contentsline {figure}{\numberline {1.13}{\ignorespaces \IeC {\'E}toiles filantes}}{29}
|
||||
\contentsline {figure}{\numberline {1.14}{\ignorespaces Les saisons}}{30}
|
||||
\contentsline {figure}{\numberline {1.15}{\ignorespaces Les saisons}}{30}
|
||||
\contentsline {figure}{\numberline {1.16}{\ignorespaces La terre et la lune}}{30}
|
||||
\contentsline {figure}{\numberline {1.17}{\ignorespaces Les phases de la lune}}{31}
|
||||
\contentsline {figure}{\numberline {1.18}{\ignorespaces Orbites de la lune et du soleil}}{31}
|
||||
\contentsline {figure}{\numberline {1.19}{\ignorespaces Les mar\IeC {\'e}es\relax }}{32}
|
||||
\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Sans rotation de la lune}}}{32}
|
||||
\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Avec rotation de la lune}}}{32}
|
||||
\contentsline {figure}{\numberline {1.20}{\ignorespaces La n\IeC {\'e}buleuse du Crabe}}{32}
|
||||
\contentsline {figure}{\numberline {1.21}{\ignorespaces L'atome de Bohr}}{33}
|
||||
\contentsline {figure}{\numberline {1.22}{\ignorespaces L'atome~: onde de probabilit\IeC {\'e}}}{35}
|
||||
\contentsline {figure}{\numberline {1.23}{\ignorespaces L'orbitale~: onde de probabilit\IeC {\'e}}}{35}
|
||||
\contentsline {figure}{\numberline {1.1}{\ignorespaces L'univers profond}}{22}%
|
||||
\contentsline {figure}{\numberline {1.2}{\ignorespaces Mod\IeC {\`e}les de courbure}}{22}%
|
||||
\contentsline {figure}{\numberline {1.3}{\ignorespaces L'\IeC {\'e}volution du Soleil}}{23}%
|
||||
\contentsline {figure}{\numberline {1.4}{\ignorespaces Groupe local}}{24}%
|
||||
\contentsline {figure}{\numberline {1.5}{\ignorespaces Galaxie du Sombrero}}{24}%
|
||||
\contentsline {figure}{\numberline {1.6}{\ignorespaces Interaction de deux galaxies}}{25}%
|
||||
\contentsline {figure}{\numberline {1.7}{\ignorespaces N\IeC {\'e}buleuse plan\IeC {\'e}taire}}{25}%
|
||||
\contentsline {figure}{\numberline {1.8}{\ignorespaces Premi\IeC {\`e}re exoplan\IeC {\`e}te}}{25}%
|
||||
\contentsline {figure}{\numberline {1.9}{\ignorespaces Syst\IeC {\`e}me solaire}}{26}%
|
||||
\contentsline {figure}{\numberline {1.10}{\ignorespaces La taille des plan\IeC {\`e}tes}}{27}%
|
||||
\contentsline {figure}{\numberline {1.11}{\ignorespaces La taille des plan\IeC {\`e}tes}}{28}%
|
||||
\contentsline {figure}{\numberline {1.12}{\ignorespaces Une com\IeC {\`e}te}}{28}%
|
||||
\contentsline {figure}{\numberline {1.13}{\ignorespaces \IeC {\'E}toiles filantes}}{28}%
|
||||
\contentsline {figure}{\numberline {1.14}{\ignorespaces Les saisons}}{29}%
|
||||
\contentsline {figure}{\numberline {1.15}{\ignorespaces Les saisons}}{29}%
|
||||
\contentsline {figure}{\numberline {1.16}{\ignorespaces La terre et la lune}}{29}%
|
||||
\contentsline {figure}{\numberline {1.17}{\ignorespaces Les phases de la lune}}{31}%
|
||||
\contentsline {figure}{\numberline {1.18}{\ignorespaces Orbites de la lune et du soleil}}{31}%
|
||||
\contentsline {figure}{\numberline {1.19}{\ignorespaces Les mar\IeC {\'e}es\relax }}{32}%
|
||||
\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Sans rotation de la lune}}}{32}%
|
||||
\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Avec rotation de la lune}}}{32}%
|
||||
\contentsline {figure}{\numberline {1.20}{\ignorespaces La n\IeC {\'e}buleuse du Crabe}}{32}%
|
||||
\contentsline {figure}{\numberline {1.21}{\ignorespaces L'atome de Bohr}}{33}%
|
||||
\contentsline {figure}{\numberline {1.22}{\ignorespaces L'atome~: onde de probabilit\IeC {\'e}}}{35}%
|
||||
\contentsline {figure}{\numberline {1.23}{\ignorespaces L'orbitale~: onde de probabilit\IeC {\'e}}}{35}%
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {figure}{\numberline {2.1}{\ignorespaces Un syst\IeC {\`e}me d'axes en une dimension\relax }}{37}
|
||||
\contentsline {figure}{\numberline {2.2}{\ignorespaces La position d'un objet\relax }}{38}
|
||||
\contentsline {figure}{\numberline {2.3}{\ignorespaces Apollo 16}}{40}
|
||||
\contentsline {figure}{\numberline {2.4}{\ignorespaces Collision Androm\IeC {\`e}de-Voie Lact\IeC {\'e}e}}{41}
|
||||
\contentsline {figure}{\numberline {2.5}{\ignorespaces Chute libre\relax }}{44}
|
||||
\contentsline {figure}{\numberline {2.6}{\ignorespaces Chute libre\relax }}{44}
|
||||
\contentsline {figure}{\numberline {2.7}{\ignorespaces L'id\IeC {\'e}e de la chute de la Lune\relax }}{46}
|
||||
\contentsline {figure}{\numberline {2.8}{\ignorespaces L'id\IeC {\'e}e de la chute de la Lune Illustration des Principia.\relax }}{46}
|
||||
\contentsline {figure}{\numberline {2.9}{\ignorespaces Chute de la Lune sur la Terre\relax }}{46}
|
||||
\contentsline {figure}{\numberline {2.10}{\ignorespaces Mouvement circulaire uniforme\relax }}{48}
|
||||
\contentsline {figure}{\numberline {2.11}{\ignorespaces Astronomica pars Optica}}{49}
|
||||
\contentsline {figure}{\numberline {2.12}{\ignorespaces R\IeC {\'e}sum\IeC {\'e} de cin\IeC {\'e}matique\relax }}{50}
|
||||
\contentsline {figure}{\numberline {2.1}{\ignorespaces Un syst\IeC {\`e}me d'axes en une dimension\relax }}{37}%
|
||||
\contentsline {figure}{\numberline {2.2}{\ignorespaces La position d'un objet\relax }}{38}%
|
||||
\contentsline {figure}{\numberline {2.3}{\ignorespaces Apollo 16}}{40}%
|
||||
\contentsline {figure}{\numberline {2.4}{\ignorespaces Collision Androm\IeC {\`e}de-Voie Lact\IeC {\'e}e}}{41}%
|
||||
\contentsline {figure}{\numberline {2.5}{\ignorespaces Chute libre\relax }}{44}%
|
||||
\contentsline {figure}{\numberline {2.6}{\ignorespaces Chute libre\relax }}{44}%
|
||||
\contentsline {figure}{\numberline {2.7}{\ignorespaces L'id\IeC {\'e}e de la chute de la Lune\relax }}{46}%
|
||||
\contentsline {figure}{\numberline {2.8}{\ignorespaces L'id\IeC {\'e}e de la chute de la Lune Illustration des Principia.\relax }}{46}%
|
||||
\contentsline {figure}{\numberline {2.9}{\ignorespaces Chute de la Lune sur la Terre\relax }}{46}%
|
||||
\contentsline {figure}{\numberline {2.10}{\ignorespaces Mouvement circulaire uniforme\relax }}{48}%
|
||||
\contentsline {figure}{\numberline {2.11}{\ignorespaces Astronomica pars Optica}}{49}%
|
||||
\contentsline {figure}{\numberline {2.12}{\ignorespaces R\IeC {\'e}sum\IeC {\'e} de cin\IeC {\'e}matique\relax }}{50}%
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {figure}{\numberline {3.1}{\ignorespaces La balance de Cavendish}}{58}
|
||||
\contentsline {figure}{\numberline {3.2}{\ignorespaces Loi de la gravitation universelle.\relax }}{59}
|
||||
\contentsline {figure}{\numberline {3.3}{\ignorespaces Poids apparent\relax }}{61}
|
||||
\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {a<0}}}{61}
|
||||
\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {a=0}}}{61}
|
||||
\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {a>0}}}{61}
|
||||
\contentsline {figure}{\numberline {3.4}{\ignorespaces La sensation des mouvements}}{62}
|
||||
\contentsline {figure}{\numberline {3.5}{\ignorespaces L'id\IeC {\'e}e de la chute de la Lune Illustration des Principia.\relax }}{63}
|
||||
\contentsline {figure}{\numberline {3.6}{\ignorespaces Pleines et basses mers\relax }}{65}
|
||||
\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Logique mais faux}}}{65}
|
||||
\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Le cas r\IeC {\'e}el}}}{65}
|
||||
\contentsline {figure}{\numberline {3.7}{\ignorespaces Syst\IeC {\`e}me Terre-Lune}}{67}
|
||||
\contentsline {figure}{\numberline {3.8}{\ignorespaces Construction de Proctor}}{67}
|
||||
\contentsline {figure}{\numberline {3.9}{\ignorespaces Force de mar\IeC {\'e}e}}{68}
|
||||
\contentsline {figure}{\numberline {3.10}{\ignorespaces La force de frottement\relax }}{69}
|
||||
\contentsline {figure}{\numberline {3.11}{\ignorespaces Freins de wagon\relax }}{70}
|
||||
\contentsline {figure}{\numberline {3.12}{\ignorespaces Essieu de wagon\relax }}{70}
|
||||
\contentsline {figure}{\numberline {3.13}{\ignorespaces Force \IeC {\'e}lastique d'un ressort\relax }}{70}
|
||||
\contentsline {figure}{\numberline {3.14}{\ignorespaces R\IeC {\'e}sum\IeC {\'e} de m\IeC {\'e}canique\relax }}{72}
|
||||
\contentsline {figure}{\numberline {3.1}{\ignorespaces La balance de Cavendish}}{58}%
|
||||
\contentsline {figure}{\numberline {3.2}{\ignorespaces Loi de la gravitation universelle.\relax }}{59}%
|
||||
\contentsline {figure}{\numberline {3.3}{\ignorespaces Poids apparent\relax }}{61}%
|
||||
\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {a<0}}}{61}%
|
||||
\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {a=0}}}{61}%
|
||||
\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {a>0}}}{61}%
|
||||
\contentsline {figure}{\numberline {3.4}{\ignorespaces La sensation des mouvements}}{62}%
|
||||
\contentsline {figure}{\numberline {3.5}{\ignorespaces L'id\IeC {\'e}e de la chute de la Lune Illustration des Principia.\relax }}{63}%
|
||||
\contentsline {figure}{\numberline {3.6}{\ignorespaces Pleines et basses mers\relax }}{65}%
|
||||
\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Logique mais faux}}}{65}%
|
||||
\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Le cas r\IeC {\'e}el}}}{65}%
|
||||
\contentsline {figure}{\numberline {3.7}{\ignorespaces Syst\IeC {\`e}me Terre-Lune}}{67}%
|
||||
\contentsline {figure}{\numberline {3.8}{\ignorespaces Construction de Proctor}}{67}%
|
||||
\contentsline {figure}{\numberline {3.9}{\ignorespaces Force de mar\IeC {\'e}e}}{68}%
|
||||
\contentsline {figure}{\numberline {3.10}{\ignorespaces La force de frottement\relax }}{69}%
|
||||
\contentsline {figure}{\numberline {3.11}{\ignorespaces Freins de wagon\relax }}{70}%
|
||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
\contentsline {figure}{\numberline {K.1}{\ignorespaces Le barrage du Ch\IeC {\^a}telot}}{207}%
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {figure}{\numberline {L.1}{\ignorespaces Le rayon de la Terre par Eratosth\IeC {\`e}ne\relax }}{212}
|
||||
\contentsline {figure}{\numberline {L.2}{\ignorespaces La poulie}}{215}
|
||||
\contentsline {figure}{\numberline {L.3}{\ignorespaces Masse pendante}}{216}
|
||||
\contentsline {figure}{\numberline {L.4}{\ignorespaces Deux poulies}}{216}
|
||||
\contentsline {figure}{\numberline {L.5}{\ignorespaces Bloc suspendu}}{218}
|
||||
\contentsline {figure}{\numberline {L.6}{\ignorespaces Graphes horaires du MRU.\relax }}{223}
|
||||
\contentsline {figure}{\numberline {L.7}{\ignorespaces Chute aristot\IeC {\'e}licienne de la tour Eiffel.\relax }}{226}
|
||||
\contentsline {figure}{\numberline {L.8}{\ignorespaces Une fus\IeC {\'e}e.\relax }}{226}
|
||||
\contentsline {figure}{\numberline {L.9}{\ignorespaces Une remorque\relax }}{227}
|
||||
\contentsline {figure}{\numberline {L.10}{\ignorespaces Un ascenseur\relax }}{230}
|
||||
\contentsline {figure}{\numberline {L.11}{\ignorespaces Force inclin\IeC {\'e}e}}{235}
|
||||
\contentsline {figure}{\numberline {L.12}{\ignorespaces Lampe suspendue}}{236}
|
||||
\contentsline {figure}{\numberline {L.13}{\ignorespaces Plan inclin\IeC {\'e}}}{237}
|
||||
\contentsline {figure}{\numberline {L.14}{\ignorespaces Corde poulie}}{240}
|
||||
\contentsline {figure}{\numberline {L.15}{\ignorespaces Corde tir\IeC {\'e}e poulie}}{240}
|
||||
\contentsline {figure}{\numberline {L.16}{\ignorespaces Corde tir\IeC {\'e}e poulie juste}}{240}
|
||||
\contentsline {figure}{\numberline {L.17}{\ignorespaces Frottements}}{243}
|
||||
\contentsline {figure}{\numberline {L.18}{\ignorespaces Forces sur bloc suspendu}}{244}
|
||||
\contentsline {figure}{\numberline {L.1}{\ignorespaces Le rayon de la Terre par Eratosth\IeC {\`e}ne\relax }}{212}%
|
||||
\contentsline {figure}{\numberline {L.2}{\ignorespaces La poulie}}{215}%
|
||||
\contentsline {figure}{\numberline {L.3}{\ignorespaces Masse pendante}}{216}%
|
||||
\contentsline {figure}{\numberline {L.4}{\ignorespaces Deux poulies}}{216}%
|
||||
\contentsline {figure}{\numberline {L.5}{\ignorespaces Bloc suspendu}}{218}%
|
||||
\contentsline {figure}{\numberline {L.6}{\ignorespaces Graphes horaires du MRU.\relax }}{223}%
|
||||
\contentsline {figure}{\numberline {L.7}{\ignorespaces Chute aristot\IeC {\'e}licienne de la tour Eiffel.\relax }}{226}%
|
||||
\contentsline {figure}{\numberline {L.8}{\ignorespaces Une fus\IeC {\'e}e.\relax }}{226}%
|
||||
\contentsline {figure}{\numberline {L.9}{\ignorespaces Une remorque\relax }}{227}%
|
||||
\contentsline {figure}{\numberline {L.10}{\ignorespaces Un ascenseur\relax }}{230}%
|
||||
\contentsline {figure}{\numberline {L.11}{\ignorespaces Force inclin\IeC {\'e}e}}{235}%
|
||||
\contentsline {figure}{\numberline {L.12}{\ignorespaces Lampe suspendue}}{236}%
|
||||
\contentsline {figure}{\numberline {L.13}{\ignorespaces Plan inclin\IeC {\'e}}}{237}%
|
||||
\contentsline {figure}{\numberline {L.14}{\ignorespaces Corde poulie}}{240}%
|
||||
\contentsline {figure}{\numberline {L.15}{\ignorespaces Corde tir\IeC {\'e}e poulie}}{240}%
|
||||
\contentsline {figure}{\numberline {L.16}{\ignorespaces Corde tir\IeC {\'e}e poulie juste}}{240}%
|
||||
\contentsline {figure}{\numberline {L.17}{\ignorespaces Frottements}}{243}%
|
||||
\contentsline {figure}{\numberline {L.18}{\ignorespaces Forces sur bloc suspendu}}{244}%
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {figure}{\numberline {M.1}{\ignorespaces Baguettes d'une ann\IeC {\'e}e\relax }}{250}
|
||||
\contentsline {figure}{\numberline {M.1}{\ignorespaces Baguettes d'une ann\IeC {\'e}e\relax }}{250}%
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\select@language {french}
|
||||
\babel@toc {french}{}
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {1.1}{\ignorespaces Tableau des particules \IeC {\'e}l\IeC {\'e}mentaires}}{34}
|
||||
\contentsline {table}{\numberline {1.1}{\ignorespaces Tableau des particules \IeC {\'e}l\IeC {\'e}mentaires}}{34}%
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {2.1}{\ignorespaces Donn\IeC {\'e}es de la mission Apollo 12\relax }}{40}
|
||||
\contentsline {table}{\numberline {2.2}{\ignorespaces La hauteur en fonction du temps\relax }}{42}
|
||||
\contentsline {table}{\numberline {2.3}{\ignorespaces La vitesse en fonction du temps\relax }}{43}
|
||||
\contentsline {table}{\numberline {2.1}{\ignorespaces Donn\IeC {\'e}es de la mission Apollo 12\relax }}{40}%
|
||||
\contentsline {table}{\numberline {2.2}{\ignorespaces La hauteur en fonction du temps\relax }}{42}%
|
||||
\contentsline {table}{\numberline {2.3}{\ignorespaces La vitesse en fonction du temps\relax }}{43}%
|
||||
\addvspace {10\p@ }
|
||||
\addvspace {10\p@ }
|
||||
\addvspace {10\p@ }
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@ -13,25 +13,25 @@
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||||
\addvspace {10\p@ }
|
||||
\addvspace {10\p@ }
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||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {10.1}{\ignorespaces C\oe fficient de dilatation lin\IeC {\'e}aire\relax }}{135}
|
||||
\contentsline {table}{\numberline {10.2}{\ignorespaces Chaleur sp\IeC {\'e}cifique\relax }}{135}
|
||||
\contentsline {table}{\numberline {10.3}{\ignorespaces Chaleur latente\relax }}{136}
|
||||
\contentsline {table}{\numberline {10.1}{\ignorespaces C\oe fficient de dilatation lin\IeC {\'e}aire\relax }}{135}%
|
||||
\contentsline {table}{\numberline {10.2}{\ignorespaces Chaleur sp\IeC {\'e}cifique\relax }}{135}%
|
||||
\contentsline {table}{\numberline {10.3}{\ignorespaces Chaleur latente\relax }}{136}%
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {11.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{140}
|
||||
\contentsline {table}{\numberline {11.2}{\ignorespaces Coefficient de dilatation volumique\relax }}{141}
|
||||
\contentsline {table}{\numberline {11.3}{\ignorespaces Chaleur massique\relax }}{142}
|
||||
\contentsline {table}{\numberline {11.4}{\ignorespaces Chaleur latente\relax }}{143}
|
||||
\contentsline {table}{\numberline {11.5}{\ignorespaces \IeC {\'E}tats caract\IeC {\'e}ristiques\relax }}{154}
|
||||
\contentsline {table}{\numberline {11.6}{\ignorespaces Grandeurs caract\IeC {\'e}ristiques\relax }}{156}
|
||||
\contentsline {table}{\numberline {11.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{140}%
|
||||
\contentsline {table}{\numberline {11.2}{\ignorespaces Coefficient de dilatation volumique\relax }}{141}%
|
||||
\contentsline {table}{\numberline {11.3}{\ignorespaces Chaleur massique\relax }}{142}%
|
||||
\contentsline {table}{\numberline {11.4}{\ignorespaces Chaleur latente\relax }}{143}%
|
||||
\contentsline {table}{\numberline {11.5}{\ignorespaces \IeC {\'E}tats caract\IeC {\'e}ristiques\relax }}{154}%
|
||||
\contentsline {table}{\numberline {11.6}{\ignorespaces Grandeurs caract\IeC {\'e}ristiques\relax }}{156}%
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{166}
|
||||
\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{166}
|
||||
\contentsline {table}{\numberline {A.3}{\ignorespaces Quelques \IeC {\'e}quivalents\relax }}{166}
|
||||
\contentsline {table}{\numberline {A.4}{\ignorespaces Multiples et sous-multiples\relax }}{167}
|
||||
\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{166}%
|
||||
\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{166}%
|
||||
\contentsline {table}{\numberline {A.3}{\ignorespaces Quelques \IeC {\'e}quivalents\relax }}{166}%
|
||||
\contentsline {table}{\numberline {A.4}{\ignorespaces Multiples et sous-multiples\relax }}{167}%
|
||||
\addvspace {10\p@ }
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||||
\addvspace {10\p@ }
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\addvspace {10\p@ }
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\contentsline {table}{\numberline {D.1}{\ignorespaces Tableau de mesures\relax }}{179}
|
||||
\contentsline {table}{\numberline {D.1}{\ignorespaces Tableau de mesures\relax }}{179}%
|
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\addvspace {10\p@ }
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||||
\addvspace {10\p@ }
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||||
\addvspace {10\p@ }
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||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {M.1}{\ignorespaces La longueur des baguettes de pain\relax }}{248}
|
||||
\contentsline {table}{\numberline {M.2}{\ignorespaces La longueur d'autres baguettes de pain\relax }}{249}
|
||||
\contentsline {table}{\numberline {M.3}{\ignorespaces Des centaines de baguettes de pain\relax }}{249}
|
||||
\contentsline {table}{\numberline {M.1}{\ignorespaces La longueur des baguettes de pain\relax }}{248}%
|
||||
\contentsline {table}{\numberline {M.2}{\ignorespaces La longueur d'autres baguettes de pain\relax }}{249}%
|
||||
\contentsline {table}{\numberline {M.3}{\ignorespaces Des centaines de baguettes de pain\relax }}{249}%
|
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\select@language {french}
|
||||
\contentsline {chapter}{\numberline {1}Introduction}{21}
|
||||
\contentsline {section}{\numberline {1.1}Du temps}{21}
|
||||
\contentsline {section}{\numberline {1.2}De l'infiniment grand \IeC {\`a} l'infiniment petit}{21}
|
||||
\contentsline {subsection}{\numberline {1.2.1}L'Univers}{21}
|
||||
\contentsline {subsection}{\numberline {1.2.2}Les amas de galaxies}{22}
|
||||
\contentsline {subsection}{\numberline {1.2.3}Les galaxies}{23}
|
||||
\contentsline {subsection}{\numberline {1.2.4}Les \IeC {\'e}toiles}{24}
|
||||
\contentsline {subsection}{\numberline {1.2.5}Le syst\IeC {\`e}me solaire}{24}
|
||||
\contentsline {subsection}{\numberline {1.2.6}La Terre et la Lune}{26}
|
||||
\contentsline {subsubsection}{La Terre}{26}
|
||||
\contentsline {subsubsection}{La Lune}{27}
|
||||
\contentsline {subsubsection}{Les mar\IeC {\'e}es}{29}
|
||||
\contentsline {subsection}{\numberline {1.2.7}Le monde subatomique}{32}
|
||||
\contentsline {subsubsection}{Conclusion}{36}
|
||||
\contentsline {chapter}{\numberline {2}La cin\IeC {\'e}matique}{37}
|
||||
\contentsline {section}{\numberline {2.1}Introduction}{37}
|
||||
\contentsline {section}{\numberline {2.2}Position}{37}
|
||||
\contentsline {subsection}{\numberline {2.2.1}Dimensions}{37}
|
||||
\contentsline {subsection}{\numberline {2.2.2}Syst\IeC {\`e}me d'axes}{37}
|
||||
\contentsline {subsection}{\numberline {2.2.3}Position}{37}
|
||||
\contentsline {subsection}{\numberline {2.2.4}D\IeC {\'e}placement}{38}
|
||||
\contentsline {subsection}{\numberline {2.2.5}Distance parcourue}{38}
|
||||
\contentsline {section}{\numberline {2.3}Vitesse}{38}
|
||||
\contentsline {subsection}{\numberline {2.3.1}Vitesse moyenne}{38}
|
||||
\contentsline {subsection}{\numberline {2.3.2}Exemples}{38}
|
||||
\contentsline {subsubsection}{Exemple 1}{38}
|
||||
\contentsline {subsubsection}{Exemple 2}{38}
|
||||
\contentsline {subsection}{\numberline {2.3.3}Vitesse instantan\IeC {\'e}e}{38}
|
||||
\contentsline {section}{\numberline {2.4}Acc\IeC {\'e}l\IeC {\'e}ration}{39}
|
||||
\contentsline {subsection}{\numberline {2.4.1}Acc\IeC {\'e}l\IeC {\'e}ration moyenne}{39}
|
||||
\contentsline {subsection}{\numberline {2.4.2}Exemples}{39}
|
||||
\contentsline {subsubsection}{Exemple 1}{39}
|
||||
\contentsline {subsubsection}{Exemple 2}{39}
|
||||
\contentsline {subsubsection}{Remarque~:}{39}
|
||||
\contentsline {subsection}{\numberline {2.4.3}L'acc\IeC {\'e}l\IeC {\'e}ration instantan\IeC {\'e}e}{39}
|
||||
\contentsline {section}{\numberline {2.5}Mouvements simples}{39}
|
||||
\contentsline {subsection}{\numberline {2.5.1}Le mouvement rectiligne uniforme}{39}
|
||||
\contentsline {subsubsection}{D\IeC {\'e}finition}{39}
|
||||
\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{39}
|
||||
\contentsline {subsubsection}{Un exemple~: Apollo en route vers la Lune}{40}
|
||||
\contentsline {subsubsection}{Autre exemple~: le d\IeC {\'e}placement d'Androm\IeC {\`e}de}{41}
|
||||
\contentsline {subsection}{\numberline {2.5.2}Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e} (MRUA)}{41}
|
||||
\contentsline {subsubsection}{D\IeC {\'e}finition}{41}
|
||||
\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{41}
|
||||
\contentsline {subsection}{\numberline {2.5.3}La chute libre}{42}
|
||||
\contentsline {paragraph}{D\IeC {\'e}finition}{42}
|
||||
\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{42}
|
||||
\contentsline {paragraph}{Exp\IeC {\'e}rience}{42}
|
||||
\contentsline {paragraph}{Calculs}{42}
|
||||
\contentsline {paragraph}{Analyse des r\IeC {\'e}sultats}{43}
|
||||
\contentsline {paragraph}{Conclusions}{44}
|
||||
\contentsline {subsection}{\numberline {2.5.4}Balistique}{44}
|
||||
\contentsline {paragraph}{D\IeC {\'e}finition}{44}
|
||||
\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{44}
|
||||
\contentsline {paragraph}{\IeC {\'E}quations}{44}
|
||||
\contentsline {paragraph}{Premier exemple}{45}
|
||||
\contentsline {paragraph}{Second exemple}{45}
|
||||
\contentsline {subsection}{\numberline {2.5.5}La chute libre ... de la Lune}{45}
|
||||
\contentsline {subsection}{\numberline {2.5.6}Mouvement circulaire uniforme (MCU)}{47}
|
||||
\contentsline {subsubsection}{Relation importante}{47}
|
||||
\contentsline {subsection}{\numberline {2.5.7}Lois de Kepler}{48}
|
||||
\contentsline {chapter}{\numberline {3}La m\IeC {\'e}canique}{51}
|
||||
\contentsline {section}{\numberline {3.1}La \FB@og m\IeC {\'e}canique\fg {} d'Aristote}{51}
|
||||
\contentsline {subsection}{\numberline {3.1.1}Introduction}{51}
|
||||
\contentsline {subsection}{\numberline {3.1.2}Platon}{51}
|
||||
\contentsline {subsection}{\numberline {3.1.3}Aristote}{52}
|
||||
\contentsline {subsubsection}{Cin\IeC {\'e}matique}{52}
|
||||
\contentsline {subsubsection}{Dynamique}{52}
|
||||
\contentsline {section}{\numberline {3.2}M\IeC {\'e}canique de Newton}{55}
|
||||
\contentsline {subsection}{\numberline {3.2.1}Introduction}{55}
|
||||
\contentsline {subsection}{\numberline {3.2.2}M\IeC {\'e}canique}{55}
|
||||
\contentsline {subsubsection}{Les trois lois de Newton}{55}
|
||||
\contentsline {subsubsection}{Force ext\IeC {\'e}rieure}{56}
|
||||
\contentsline {subsubsection}{Exemples}{57}
|
||||
\contentsline {subsection}{\numberline {3.2.3}Types de forces}{57}
|
||||
\contentsline {subsubsection}{Loi de la gravitation universelle}{58}
|
||||
\contentsline {subsubsection}{Le poids}{58}
|
||||
\contentsline {paragraph}{Exemple}{59}
|
||||
\contentsline {subsubsection}{Masse et poids}{60}
|
||||
\contentsline {subsubsection}{Poids apparent}{60}
|
||||
\contentsline {subsubsection}{Gravitation et MCU}{62}
|
||||
\contentsline {subsubsection}{Troisi\IeC {\`e}me loi de Kepler}{63}
|
||||
\contentsline {subsubsection}{Les mar\IeC {\'e}es}{65}
|
||||
\contentsline {subsubsection}{Le frottement}{69}
|
||||
\contentsline {paragraph}{Exemple}{70}
|
||||
\contentsline {subsubsection}{La force d'un ressort}{70}
|
||||
\contentsline {paragraph}{Exemple}{70}
|
||||
\contentsline {chapter}{\numberline {4}M\IeC {\'e}canique en plusieurs dimensions}{73}
|
||||
\contentsline {section}{\numberline {4.1}Pr\IeC {\'e}liminaires}{73}
|
||||
\contentsline {subsection}{\numberline {4.1.1}Dimensions}{73}
|
||||
\contentsline {subsection}{\numberline {4.1.2}Syst\IeC {\`e}me d'axes}{73}
|
||||
\contentsline {section}{\numberline {4.2}Notion de vecteur en physique}{73}
|
||||
\contentsline {subsection}{\numberline {4.2.1}Norme d'un vecteur}{73}
|
||||
\contentsline {subsection}{\numberline {4.2.2}Op\IeC {\'e}rations vectorielles}{74}
|
||||
\contentsline {subsubsection}{produit scalaire}{74}
|
||||
\contentsline {subsubsection}{Produit vectoriel}{74}
|
||||
\contentsline {section}{\numberline {4.3}M\IeC {\'e}canique}{74}
|
||||
\contentsline {subsection}{\numberline {4.3.1}Cin\IeC {\'e}matique}{74}
|
||||
\contentsline {subsubsection}{Position}{74}
|
||||
\contentsline {subsubsection}{Vitesse}{75}
|
||||
\contentsline {subsubsection}{Acc\IeC {\'e}l\IeC {\'e}ration}{75}
|
||||
\contentsline {subsection}{\numberline {4.3.2}Dynamique}{75}
|
||||
\contentsline {subsubsection}{Premi\IeC {\`e}re loi}{75}
|
||||
\contentsline {subsubsection}{Seconde loi}{75}
|
||||
\contentsline {subsubsection}{Troisi\IeC {\`e}me loi}{75}
|
||||
\contentsline {section}{\numberline {4.4}Exemples}{75}
|
||||
\contentsline {subsection}{\numberline {4.4.1}Statique}{75}
|
||||
\contentsline {subsection}{\numberline {4.4.2}Plan inclin\IeC {\'e}}{76}
|
||||
\contentsline {subsection}{\numberline {4.4.3}Balistique}{78}
|
||||
\contentsline {subsection}{\numberline {4.4.4}Mouvement circulaire uniforme~: MCU}{80}
|
||||
\contentsline {subsubsection}{D\IeC {\'e}finition}{80}
|
||||
\contentsline {subsubsection}{Cin\IeC {\'e}matique}{80}
|
||||
\contentsline {subsubsection}{Relation importante}{81}
|
||||
\contentsline {subsubsection}{Dynamique}{81}
|
||||
\contentsline {subsubsection}{Virages inclin\IeC {\'e}s}{81}
|
||||
\contentsline {paragraph}{Vitesses minimales}{82}
|
||||
\contentsline {paragraph}{Vitesses maximales}{83}
|
||||
\contentsline {subsection}{\numberline {4.4.5}Satellite en orbite g\IeC {\'e}ostationnaire}{84}
|
||||
\contentsline {subsubsection}{Introduction}{84}
|
||||
\contentsline {subsubsection}{Th\IeC {\'e}oriquement}{84}
|
||||
\contentsline {subsubsection}{Num\IeC {\'e}riquement}{84}
|
||||
\contentsline {subsection}{\numberline {4.4.6}Mouvement central}{84}
|
||||
\contentsline {subsubsection}{Mouvement kepleriens}{84}
|
||||
\contentsline {subsubsection}{Loi de Kepler}{84}
|
||||
\contentsline {chapter}{\numberline {5}M\IeC {\'e}canique diff\IeC {\'e}rentielle}{87}
|
||||
\contentsline {section}{\numberline {5.1}Introduction}{87}
|
||||
\contentsline {section}{\numberline {5.2}Cin\IeC {\'e}matique}{87}
|
||||
\contentsline {subsection}{\numberline {5.2.1}Exemples}{88}
|
||||
\contentsline {subsubsection}{Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}~: MRUA}{88}
|
||||
\contentsline {subsubsection}{Port\IeC {\'e} maximum en balistique}{88}
|
||||
\contentsline {section}{\numberline {5.3}Dynamique}{89}
|
||||
\contentsline {subsection}{\numberline {5.3.1}Int\IeC {\'e}gration}{89}
|
||||
\contentsline {subsubsection}{Chute libre}{89}
|
||||
\contentsline {subsubsection}{Freinage}{89}
|
||||
\contentsline {subsection}{\numberline {5.3.2}\IeC {\'E}quation diff\IeC {\'e}rentielle}{89}
|
||||
\contentsline {subsubsection}{Chute dans un fluide visqueux}{89}
|
||||
\contentsline {subsubsection}{Mouvement harmonique}{91}
|
||||
\contentsline {subsubsection}{Mouvement harmonique d'une masse pendante}{92}
|
||||
\contentsline {subsubsection}{Mouvement non lin\IeC {\'e}aire}{93}
|
||||
\contentsline {chapter}{\numberline {6}Quantit\IeC {\'e} de mouvement}{95}
|
||||
\contentsline {section}{\numberline {6.1}Introduction}{95}
|
||||
\contentsline {section}{\numberline {6.2}Quantit\IeC {\'e} de mouvement}{95}
|
||||
\contentsline {subsection}{\numberline {6.2.1}Masse d'inertie}{95}
|
||||
\contentsline {section}{\numberline {6.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{96}
|
||||
\contentsline {section}{\numberline {6.4}Choc parfaitement \IeC {\'e}lastique}{96}
|
||||
\contentsline {subsection}{\numberline {6.4.1}Exemple}{96}
|
||||
\contentsline {section}{\numberline {6.5}Choc parfaitement mou}{97}
|
||||
\contentsline {subsection}{\numberline {6.5.1}Exemple}{97}
|
||||
\contentsline {section}{\numberline {6.6}choc bidimentionnel}{98}
|
||||
\contentsline {subsection}{\numberline {6.6.1}Exemple}{98}
|
||||
\contentsline {section}{\numberline {6.7}Impulsion}{99}
|
||||
\contentsline {chapter}{\numberline {7}L'\IeC {\'e}nergie}{101}
|
||||
\contentsline {section}{\numberline {7.1}Introduction}{101}
|
||||
\contentsline {section}{\numberline {7.2}Travail}{101}
|
||||
\contentsline {section}{\numberline {7.3}Puissance}{102}
|
||||
\contentsline {section}{\numberline {7.4}\IeC {\'E}nergie potentielle}{102}
|
||||
\contentsline {section}{\numberline {7.5}\IeC {\'E}nergie cin\IeC {\'e}tique}{103}
|
||||
\contentsline {section}{\numberline {7.6}Th\IeC {\'e}or\IeC {\`e}me de l'\IeC {\'e}nergie cin\IeC {\'e}tique}{103}
|
||||
\contentsline {section}{\numberline {7.7}Conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{103}
|
||||
\contentsline {section}{\numberline {7.8}Variation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{105}
|
||||
\contentsline {section}{\numberline {7.9}\IeC {\'E}nergies renouvelables}{105}
|
||||
\contentsline {subsection}{\numberline {7.9.1}\IeC {\'E}nergie hydraulique}{105}
|
||||
\contentsline {subsubsection}{Exemple}{106}
|
||||
\contentsline {subsubsection}{Types de turbines}{107}
|
||||
\contentsline {subsubsection}{Alternateur}{107}
|
||||
\contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{107}
|
||||
\contentsline {subsection}{\numberline {7.9.2}\IeC {\'E}nergie \IeC {\'e}olienne}{108}
|
||||
\contentsline {subsection}{\numberline {7.9.3}\IeC {\'E}nergie solaire}{109}
|
||||
\contentsline {subsubsection}{\IeC {\'E}nergie solaire thermique}{109}
|
||||
\contentsline {subsubsection}{\IeC {\'E}nergie solaire \IeC {\'e}lectrique}{111}
|
||||
\contentsline {subsection}{\numberline {7.9.4}\IeC {\'E}nergie g\IeC {\'e}othermique}{112}
|
||||
\contentsline {section}{\numberline {7.10}\IeC {\'E}nergies non renouvelables}{112}
|
||||
\contentsline {subsection}{\numberline {7.10.1}\IeC {\'E}nergie nucl\IeC {\'e}aire}{113}
|
||||
\contentsline {subsubsection}{Fission}{113}
|
||||
\contentsline {paragraph}{D\IeC {\'e}chets radioactifs}{114}
|
||||
\contentsline {paragraph}{Accidents nucl\IeC {\'e}aires}{115}
|
||||
\contentsline {subsubsection}{Fusion}{115}
|
||||
\contentsline {subsection}{\numberline {7.10.2}\IeC {\'E}nergie de combustion~: p\IeC {\'e}trole et gaz}{115}
|
||||
\contentsline {chapter}{\numberline {8}L'\IeC {\'e}nergie}{119}
|
||||
\contentsline {section}{\numberline {8.1}Introduction}{119}
|
||||
\contentsline {section}{\numberline {8.2}Le travail}{119}
|
||||
\contentsline {subsection}{\numberline {8.2.1}Historiquement}{119}
|
||||
\contentsline {subsection}{\numberline {8.2.2}D\IeC {\'e}finition}{120}
|
||||
\contentsline {subsubsection}{Travail simple}{120}
|
||||
\contentsline {subsubsection}{Travail et produit scalaire}{120}
|
||||
\contentsline {subsubsection}{Travail cas g\IeC {\'e}n\IeC {\'e}ral}{120}
|
||||
\contentsline {section}{\numberline {8.3}L'\IeC {\'e}nergie}{121}
|
||||
\contentsline {subsection}{\numberline {8.3.1}Introduction}{121}
|
||||
\contentsline {subsection}{\numberline {8.3.2}\IeC {\'E}nergie potentielle}{121}
|
||||
\contentsline {subsection}{\numberline {8.3.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{122}
|
||||
\contentsline {subsection}{\numberline {8.3.4}\IeC {\'E}nergie m\IeC {\'e}canique}{122}
|
||||
\contentsline {subsection}{\numberline {8.3.5}Exemple}{122}
|
||||
\contentsline {section}{\numberline {8.4}Conservation de l'\IeC {\'e}nergie}{122}
|
||||
\contentsline {subsection}{\numberline {8.4.1}Introduction}{122}
|
||||
\contentsline {subsection}{\numberline {8.4.2}Th\IeC {\'e}or\IeC {\`e}me de conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{122}
|
||||
\contentsline {subsection}{\numberline {8.4.3}Exemples}{123}
|
||||
\contentsline {section}{\numberline {8.5}Limite du th\IeC {\'e}or\IeC {\`e}me de conservation}{124}
|
||||
\contentsline {section}{\numberline {8.6}Forces conservatives}{124}
|
||||
\contentsline {subsection}{\numberline {8.6.1}D\IeC {\'e}finition}{124}
|
||||
\contentsline {subsection}{\numberline {8.6.2}Exemples}{124}
|
||||
\contentsline {subsubsection}{Le poids}{124}
|
||||
\contentsline {subsubsection}{Le ressort}{125}
|
||||
\contentsline {subsection}{\numberline {8.6.3}G\IeC {\'e}n\IeC {\'e}ralisation}{125}
|
||||
\contentsline {subsubsection}{\IeC {\'E}nergie gravifique}{126}
|
||||
\contentsline {chapter}{\numberline {9}Physique th\IeC {\'e}orique}{129}
|
||||
\contentsline {section}{\numberline {9.1}Introduction}{129}
|
||||
\contentsline {section}{\numberline {9.2}\IeC {\'E}nergie potentielle}{129}
|
||||
\contentsline {section}{\numberline {9.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{129}
|
||||
\contentsline {section}{\numberline {9.4}Quantit\IeC {\'e} de mouvement}{129}
|
||||
\contentsline {section}{\numberline {9.5}Conservation de l'\IeC {\'e}nergie}{130}
|
||||
\contentsline {section}{\numberline {9.6}Principe de moindre action}{130}
|
||||
\contentsline {subsection}{\numberline {9.6.1}Lagrangien}{130}
|
||||
\contentsline {subsection}{\numberline {9.6.2}Action}{130}
|
||||
\contentsline {subsection}{\numberline {9.6.3}Minimalisation}{131}
|
||||
\contentsline {section}{\numberline {9.7}Euler-Lagrange}{131}
|
||||
\contentsline {chapter}{\numberline {10}Thermodynamique}{133}
|
||||
\contentsline {section}{\numberline {10.1}Introduction}{133}
|
||||
\contentsline {section}{\numberline {10.2}Temp\IeC {\'e}rature}{133}
|
||||
\contentsline {subsection}{\numberline {10.2.1}Celsius}{133}
|
||||
\contentsline {subsection}{\numberline {10.2.2}Fahrenheit}{133}
|
||||
\contentsline {subsection}{\numberline {10.2.3}Kelvin}{134}
|
||||
\contentsline {subsection}{\numberline {10.2.4}Agitation mol\IeC {\'e}culaire}{134}
|
||||
\contentsline {section}{\numberline {10.3}Dilatation}{134}
|
||||
\contentsline {section}{\numberline {10.4}Chaleur}{135}
|
||||
\contentsline {subsection}{\numberline {10.4.1}Chaleur sp\IeC {\'e}cifique}{135}
|
||||
\contentsline {subsection}{\numberline {10.4.2}Chaleur latente}{135}
|
||||
\contentsline {section}{\numberline {10.5}\IeC {\'E}nergie thermique}{136}
|
||||
\contentsline {subsection}{\numberline {10.5.1}Premier principe}{137}
|
||||
\contentsline {chapter}{\numberline {11}Thermodynamique}{139}
|
||||
\contentsline {section}{\numberline {11.1}Temp\IeC {\'e}rature et dilatation}{139}
|
||||
\contentsline {subsection}{\numberline {11.1.1}Temp\IeC {\'e}rature}{139}
|
||||
\contentsline {subsection}{\numberline {11.1.2}Dilatation}{139}
|
||||
\contentsline {section}{\numberline {11.2}Chaleurs sp\IeC {\'e}cifique et latente}{141}
|
||||
\contentsline {subsection}{\numberline {11.2.1}Introduction}{141}
|
||||
\contentsline {subsection}{\numberline {11.2.2}Chaleur sp\IeC {\'e}cifique}{141}
|
||||
\contentsline {subsubsection}{Chaleur massique}{141}
|
||||
\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{142}
|
||||
\contentsline {subsubsection}{Notion de mole}{142}
|
||||
\contentsline {subsubsection}{Chaleur molaire}{142}
|
||||
\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{143}
|
||||
\contentsline {subsubsection}{Chaleur latente}{143}
|
||||
\contentsline {subsubsection}{\IeC {\'E}vaporation}{143}
|
||||
\contentsline {subsection}{\numberline {11.2.3}Bilan thermique}{144}
|
||||
\contentsline {section}{\numberline {11.3}Loi des gaz parfaits}{145}
|
||||
\contentsline {subsection}{\numberline {11.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{145}
|
||||
\contentsline {subsubsection}{Pression}{145}
|
||||
\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{145}
|
||||
\contentsline {subsubsection}{Approche intuitive}{145}
|
||||
\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{146}
|
||||
\contentsline {subsection}{\numberline {11.3.2}Gaz parfait}{147}
|
||||
\contentsline {section}{\numberline {11.4}Premier principe}{147}
|
||||
\contentsline {subsection}{\numberline {11.4.1}Chaleur}{147}
|
||||
\contentsline {subsection}{\numberline {11.4.2}Travail}{148}
|
||||
\contentsline {subsection}{\numberline {11.4.3}\IeC {\'E}nergie interne}{148}
|
||||
\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{149}
|
||||
\contentsline {subsection}{\numberline {11.4.4}Premier principe}{149}
|
||||
\contentsline {subsection}{\numberline {11.4.5}Changements d'\IeC {\'e}tats}{149}
|
||||
\contentsline {subsubsection}{Transformation isobare}{150}
|
||||
\contentsline {subsubsection}{Transformation isochore}{150}
|
||||
\contentsline {subsubsection}{Transformation isotherme}{151}
|
||||
\contentsline {subsubsection}{Transformation adiabatique}{151}
|
||||
\contentsline {subsection}{\numberline {11.4.6}Chaleurs sp\IeC {\'e}cifiques}{153}
|
||||
\contentsline {section}{\numberline {11.5}Machines thermiques}{154}
|
||||
\contentsline {subsection}{\numberline {11.5.1}Machine simple}{154}
|
||||
\contentsline {subsection}{\numberline {11.5.2}Moteur \IeC {\`a} explosion}{156}
|
||||
\contentsline {subsection}{\numberline {11.5.3}Moteur Diesel}{158}
|
||||
\contentsline {subsection}{\numberline {11.5.4}Machine de Stirling}{160}
|
||||
\contentsline {subsection}{\numberline {11.5.5}Climatiseur}{160}
|
||||
\contentsline {subsection}{\numberline {11.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{160}
|
||||
\contentsline {subsection}{\numberline {11.5.7}Pompe \IeC {\`a} chaleur}{160}
|
||||
\contentsline {subsection}{\numberline {11.5.8}Cycle de Carnot}{160}
|
||||
\contentsline {section}{\numberline {11.6}Thermodynamique statistique}{161}
|
||||
\contentsline {section}{\numberline {11.7}Second principe}{162}
|
||||
\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{163}
|
||||
\contentsline {section}{\numberline {A.1}Introduction}{163}
|
||||
\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{163}
|
||||
\contentsline {section}{\numberline {A.3}Analyse dimensionnelle}{164}
|
||||
\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{165}
|
||||
\contentsline {subsection}{\numberline {A.4.1}Exemple}{165}
|
||||
\contentsline {section}{\numberline {A.5}Conversions}{165}
|
||||
\contentsline {section}{\numberline {A.6}Sous-multiples}{166}
|
||||
\contentsline {section}{\numberline {A.7}Notation scientifique}{166}
|
||||
\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{167}
|
||||
\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{169}
|
||||
\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{169}
|
||||
\contentsline {subsection}{\numberline {B.1.1}Introduction}{169}
|
||||
\contentsline {subsection}{\numberline {B.1.2}Description}{169}
|
||||
\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{169}
|
||||
\contentsline {subsection}{\numberline {B.2.1}Introduction}{169}
|
||||
\contentsline {subsection}{\numberline {B.2.2}Description}{169}
|
||||
\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{170}
|
||||
\contentsline {chapter}{\numberline {C}Mesures de distances}{171}
|
||||
\contentsline {section}{\numberline {C.1}La taille de la Terre}{171}
|
||||
\contentsline {subsection}{\numberline {C.1.1}Le principe}{171}
|
||||
\contentsline {subsection}{\numberline {C.1.2}Techniquement}{172}
|
||||
\contentsline {section}{\numberline {C.2}La taille de la Lune}{173}
|
||||
\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{173}
|
||||
\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{174}
|
||||
\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{176}
|
||||
\contentsline {chapter}{\numberline {D}Travaux pratiques}{177}
|
||||
\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{177}
|
||||
\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{178}
|
||||
\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{178}
|
||||
\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{178}
|
||||
\contentsline {subsubsection}{But}{178}
|
||||
\contentsline {subsubsection}{Th\IeC {\'e}orie}{178}
|
||||
\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{178}
|
||||
\contentsline {subsubsection}{R\IeC {\'e}sultats}{178}
|
||||
\contentsline {subsubsection}{Discussion}{180}
|
||||
\contentsline {subsubsection}{Conclusion}{180}
|
||||
\contentsline {subsubsection}{Annexes}{180}
|
||||
\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{181}
|
||||
\contentsline {subsection}{\numberline {D.2.1}Introduction}{181}
|
||||
\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{181}
|
||||
\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{181}
|
||||
\contentsline {subsection}{\numberline {D.2.4}Mesures}{181}
|
||||
\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{181}
|
||||
\contentsline {subsection}{\numberline {D.2.6}Analyse}{181}
|
||||
\contentsline {section}{\numberline {D.3}Le pendule simple}{181}
|
||||
\contentsline {subsection}{\numberline {D.3.1}Les mesures}{181}
|
||||
\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{182}
|
||||
\contentsline {section}{\numberline {D.4}Mouvement simple~: MRU}{182}
|
||||
\contentsline {subsection}{\numberline {D.4.1}Les mesures}{182}
|
||||
\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{182}
|
||||
\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{182}
|
||||
\contentsline {section}{\numberline {D.5}Mouvement simple~:\\MRUA}{182}
|
||||
\contentsline {subsection}{\numberline {D.5.1}But}{182}
|
||||
\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{183}
|
||||
\contentsline {subsection}{\numberline {D.5.3}Les mesures}{183}
|
||||
\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{183}
|
||||
\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{183}
|
||||
\contentsline {section}{\numberline {D.6}La chute libre}{183}
|
||||
\contentsline {subsection}{\numberline {D.6.1}Cette exp\IeC {\'e}rience donnant lieu \IeC {\`a} un rapport not\IeC {\'e}, elle n'est pas d\IeC {\'e}crite.}{183}
|
||||
\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{183}
|
||||
\contentsline {section}{\numberline {D.7}Le canon horizontal}{183}
|
||||
\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{184}
|
||||
\contentsline {chapter}{\numberline {E}Rotations}{185}
|
||||
\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{185}
|
||||
\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{185}
|
||||
\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{187}
|
||||
\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{187}
|
||||
\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{189}
|
||||
\contentsline {section}{\numberline {F.1}La position}{189}
|
||||
\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{189}
|
||||
\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{189}
|
||||
\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{190}
|
||||
\contentsline {chapter}{\numberline {G}Chute de la Lune}{191}
|
||||
\contentsline {section}{\numberline {G.1}Introduction}{191}
|
||||
\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{191}
|
||||
\contentsline {section}{\numberline {G.3}Force de gravitation}{192}
|
||||
\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{193}
|
||||
\contentsline {section}{\numberline {H.1}Introduction}{193}
|
||||
\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{193}
|
||||
\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{194}
|
||||
\contentsline {section}{\numberline {H.4}Loi de Kepler}{194}
|
||||
\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{195}
|
||||
\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{195}
|
||||
\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{196}
|
||||
\contentsline {section}{\numberline {I.3}Invariance}{197}
|
||||
\contentsline {section}{\numberline {I.4}Forces inertielles}{197}
|
||||
\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{197}
|
||||
\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{198}
|
||||
\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{199}
|
||||
\contentsline {section}{\numberline {J.1}Introduction}{199}
|
||||
\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{199}
|
||||
\contentsline {section}{\numberline {J.3}Force d'inertie}{200}
|
||||
\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{200}
|
||||
\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{200}
|
||||
\contentsline {section}{\numberline {J.4}Poids relatif}{201}
|
||||
\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{201}
|
||||
\contentsline {section}{\numberline {J.6}Autres rythmes}{201}
|
||||
\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{202}
|
||||
\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{202}
|
||||
\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{202}
|
||||
\contentsline {subsection}{\numberline {J.6.4}Mar\IeC {\'e}es de p\IeC {\'e}rig\IeC {\'e}e et p\IeC {\'e}rih\IeC {\'e}lie}{203}
|
||||
\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{203}
|
||||
\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{203}
|
||||
\contentsline {section}{\numberline {J.7}Limite de Roche}{203}
|
||||
\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{204}
|
||||
\contentsline {subsection}{\numberline {J.7.2}Exemples}{205}
|
||||
\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{207}
|
||||
\contentsline {section}{\numberline {K.1}Introduction}{207}
|
||||
\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{207}
|
||||
\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{208}
|
||||
\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{208}
|
||||
\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{209}
|
||||
\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{209}
|
||||
\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{209}
|
||||
\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{209}
|
||||
\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{210}
|
||||
\contentsline {chapter}{\numberline {L}Exercices}{211}
|
||||
\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{211}
|
||||
\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{211}
|
||||
\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{211}
|
||||
\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{212}
|
||||
\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{212}
|
||||
\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{213}
|
||||
\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{213}
|
||||
\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{214}
|
||||
\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{214}
|
||||
\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{216}
|
||||
\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{218}
|
||||
\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{218}
|
||||
\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{219}
|
||||
\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{219}
|
||||
\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{219}
|
||||
\contentsline {section}{\numberline {L.2}Solutions}{220}
|
||||
\contentsline {section}{\numberline {L.3}Solutions OS}{235}
|
||||
\contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{247}
|
||||
\contentsline {section}{\numberline {M.1}Ordre de grandeur}{247}
|
||||
\contentsline {subsection}{\numberline {M.1.1}Chiffres significatifs}{247}
|
||||
\contentsline {subsection}{\numberline {M.1.2}Ordre de grandeur}{247}
|
||||
\contentsline {section}{\numberline {M.2}\IeC {\'E}cart et erreur}{248}
|
||||
\contentsline {section}{\numberline {M.3}Incertitude}{250}
|
||||
\contentsline {subsection}{\numberline {M.3.1}Addition/soustraction}{250}
|
||||
\contentsline {subsection}{\numberline {M.3.2}Multiplication par un entier}{251}
|
||||
\contentsline {subsection}{\numberline {M.3.3}Multiplication/division}{251}
|
||||
\contentsline {subsection}{\numberline {M.3.4}Puissance}{252}
|
||||
\contentsline {subsection}{\numberline {M.3.5}R\IeC {\'e}sum\IeC {\'e}}{252}
|
||||
\contentsline {subsection}{\numberline {M.3.6}Exemples}{253}
|
||||
\babel@toc {french}{}
|
||||
\contentsline {chapter}{\numberline {1}Introduction}{21}%
|
||||
\contentsline {section}{\numberline {1.1}Du temps}{21}%
|
||||
\contentsline {section}{\numberline {1.2}De l'infiniment grand \IeC {\`a} l'infiniment petit}{21}%
|
||||
\contentsline {subsection}{\numberline {1.2.1}L'Univers}{21}%
|
||||
\contentsline {subsection}{\numberline {1.2.2}Les amas de galaxies}{22}%
|
||||
\contentsline {subsection}{\numberline {1.2.3}Les galaxies}{23}%
|
||||
\contentsline {subsection}{\numberline {1.2.4}Les \IeC {\'e}toiles}{24}%
|
||||
\contentsline {subsection}{\numberline {1.2.5}Le syst\IeC {\`e}me solaire}{24}%
|
||||
\contentsline {subsection}{\numberline {1.2.6}La Terre et la Lune}{27}%
|
||||
\contentsline {subsubsection}{La Terre}{27}%
|
||||
\contentsline {subsubsection}{La Lune}{29}%
|
||||
\contentsline {subsubsection}{Les mar\IeC {\'e}es}{30}%
|
||||
\contentsline {subsection}{\numberline {1.2.7}Le monde subatomique}{32}%
|
||||
\contentsline {subsubsection}{Conclusion}{36}%
|
||||
\contentsline {chapter}{\numberline {2}La cin\IeC {\'e}matique}{37}%
|
||||
\contentsline {section}{\numberline {2.1}Introduction}{37}%
|
||||
\contentsline {section}{\numberline {2.2}Position}{37}%
|
||||
\contentsline {subsection}{\numberline {2.2.1}Dimensions}{37}%
|
||||
\contentsline {subsection}{\numberline {2.2.2}Syst\IeC {\`e}me d'axes}{37}%
|
||||
\contentsline {subsection}{\numberline {2.2.3}Position}{37}%
|
||||
\contentsline {subsection}{\numberline {2.2.4}D\IeC {\'e}placement}{38}%
|
||||
\contentsline {subsection}{\numberline {2.2.5}Distance parcourue}{38}%
|
||||
\contentsline {section}{\numberline {2.3}Vitesse}{38}%
|
||||
\contentsline {subsection}{\numberline {2.3.1}Vitesse moyenne}{38}%
|
||||
\contentsline {subsection}{\numberline {2.3.2}Exemples}{38}%
|
||||
\contentsline {subsubsection}{Exemple 1}{38}%
|
||||
\contentsline {subsubsection}{Exemple 2}{38}%
|
||||
\contentsline {subsection}{\numberline {2.3.3}Vitesse instantan\IeC {\'e}e}{38}%
|
||||
\contentsline {section}{\numberline {2.4}Acc\IeC {\'e}l\IeC {\'e}ration}{39}%
|
||||
\contentsline {subsection}{\numberline {2.4.1}Acc\IeC {\'e}l\IeC {\'e}ration moyenne}{39}%
|
||||
\contentsline {subsection}{\numberline {2.4.2}Exemples}{39}%
|
||||
\contentsline {subsubsection}{Exemple 1}{39}%
|
||||
\contentsline {subsubsection}{Exemple 2}{39}%
|
||||
\contentsline {subsubsection}{Remarque~:}{39}%
|
||||
\contentsline {subsection}{\numberline {2.4.3}L'acc\IeC {\'e}l\IeC {\'e}ration instantan\IeC {\'e}e}{39}%
|
||||
\contentsline {section}{\numberline {2.5}Mouvements simples}{39}%
|
||||
\contentsline {subsection}{\numberline {2.5.1}Le mouvement rectiligne uniforme}{39}%
|
||||
\contentsline {subsubsection}{D\IeC {\'e}finition}{39}%
|
||||
\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{39}%
|
||||
\contentsline {subsubsection}{Un exemple~: Apollo en route vers la Lune}{40}%
|
||||
\contentsline {subsubsection}{Autre exemple~: le d\IeC {\'e}placement d'Androm\IeC {\`e}de}{41}%
|
||||
\contentsline {subsection}{\numberline {2.5.2}Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e} (MRUA)}{41}%
|
||||
\contentsline {subsubsection}{D\IeC {\'e}finition}{41}%
|
||||
\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{41}%
|
||||
\contentsline {subsection}{\numberline {2.5.3}La chute libre}{42}%
|
||||
\contentsline {paragraph}{D\IeC {\'e}finition}{42}%
|
||||
\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{42}%
|
||||
\contentsline {paragraph}{Exp\IeC {\'e}rience}{42}%
|
||||
\contentsline {paragraph}{Calculs}{42}%
|
||||
\contentsline {paragraph}{Analyse des r\IeC {\'e}sultats}{43}%
|
||||
\contentsline {paragraph}{Conclusions}{44}%
|
||||
\contentsline {subsection}{\numberline {2.5.4}Balistique}{44}%
|
||||
\contentsline {paragraph}{D\IeC {\'e}finition}{44}%
|
||||
\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{44}%
|
||||
\contentsline {paragraph}{\IeC {\'E}quations}{44}%
|
||||
\contentsline {paragraph}{Premier exemple}{45}%
|
||||
\contentsline {paragraph}{Second exemple}{45}%
|
||||
\contentsline {subsection}{\numberline {2.5.5}La chute libre ... de la Lune}{45}%
|
||||
\contentsline {subsection}{\numberline {2.5.6}Mouvement circulaire uniforme (MCU)}{47}%
|
||||
\contentsline {subsubsection}{Relation importante}{47}%
|
||||
\contentsline {subsection}{\numberline {2.5.7}Lois de Kepler}{48}%
|
||||
\contentsline {chapter}{\numberline {3}La m\IeC {\'e}canique}{51}%
|
||||
\contentsline {section}{\numberline {3.1}La \FB@og m\IeC {\'e}canique\fg {} d'Aristote}{51}%
|
||||
\contentsline {subsection}{\numberline {3.1.1}Introduction}{51}%
|
||||
\contentsline {subsection}{\numberline {3.1.2}Platon}{51}%
|
||||
\contentsline {subsection}{\numberline {3.1.3}Aristote}{52}%
|
||||
\contentsline {subsubsection}{Cin\IeC {\'e}matique}{52}%
|
||||
\contentsline {subsubsection}{Dynamique}{52}%
|
||||
\contentsline {section}{\numberline {3.2}M\IeC {\'e}canique de Newton}{55}%
|
||||
\contentsline {subsection}{\numberline {3.2.1}Introduction}{55}%
|
||||
\contentsline {subsection}{\numberline {3.2.2}M\IeC {\'e}canique}{55}%
|
||||
\contentsline {subsubsection}{Les trois lois de Newton}{55}%
|
||||
\contentsline {subsubsection}{Force ext\IeC {\'e}rieure}{56}%
|
||||
\contentsline {subsubsection}{Exemples}{57}%
|
||||
\contentsline {subsection}{\numberline {3.2.3}Types de forces}{57}%
|
||||
\contentsline {subsubsection}{Loi de la gravitation universelle}{58}%
|
||||
\contentsline {subsubsection}{Le poids}{58}%
|
||||
\contentsline {paragraph}{Exemple}{59}%
|
||||
\contentsline {subsubsection}{Masse et poids}{60}%
|
||||
\contentsline {subsubsection}{Poids apparent}{60}%
|
||||
\contentsline {subsubsection}{Gravitation et MCU}{62}%
|
||||
\contentsline {subsubsection}{Troisi\IeC {\`e}me loi de Kepler}{63}%
|
||||
\contentsline {subsubsection}{Les mar\IeC {\'e}es}{65}%
|
||||
\contentsline {subsubsection}{Le frottement}{69}%
|
||||
\contentsline {paragraph}{Exemple}{70}%
|
||||
\contentsline {subsubsection}{La force d'un ressort}{70}%
|
||||
\contentsline {paragraph}{Exemple}{70}%
|
||||
\contentsline {chapter}{\numberline {4}M\IeC {\'e}canique en plusieurs dimensions}{73}%
|
||||
\contentsline {section}{\numberline {4.1}Pr\IeC {\'e}liminaires}{73}%
|
||||
\contentsline {subsection}{\numberline {4.1.1}Dimensions}{73}%
|
||||
\contentsline {subsection}{\numberline {4.1.2}Syst\IeC {\`e}me d'axes}{73}%
|
||||
\contentsline {section}{\numberline {4.2}Notion de vecteur en physique}{73}%
|
||||
\contentsline {subsection}{\numberline {4.2.1}Norme d'un vecteur}{73}%
|
||||
\contentsline {subsection}{\numberline {4.2.2}Op\IeC {\'e}rations vectorielles}{74}%
|
||||
\contentsline {subsubsection}{produit scalaire}{74}%
|
||||
\contentsline {subsubsection}{Produit vectoriel}{74}%
|
||||
\contentsline {section}{\numberline {4.3}M\IeC {\'e}canique}{74}%
|
||||
\contentsline {subsection}{\numberline {4.3.1}Cin\IeC {\'e}matique}{74}%
|
||||
\contentsline {subsubsection}{Position}{74}%
|
||||
\contentsline {subsubsection}{Vitesse}{75}%
|
||||
\contentsline {subsubsection}{Acc\IeC {\'e}l\IeC {\'e}ration}{75}%
|
||||
\contentsline {subsection}{\numberline {4.3.2}Dynamique}{75}%
|
||||
\contentsline {subsubsection}{Premi\IeC {\`e}re loi}{75}%
|
||||
\contentsline {subsubsection}{Seconde loi}{75}%
|
||||
\contentsline {subsubsection}{Troisi\IeC {\`e}me loi}{75}%
|
||||
\contentsline {section}{\numberline {4.4}Exemples}{75}%
|
||||
\contentsline {subsection}{\numberline {4.4.1}Statique}{75}%
|
||||
\contentsline {subsection}{\numberline {4.4.2}Plan inclin\IeC {\'e}}{76}%
|
||||
\contentsline {subsection}{\numberline {4.4.3}Balistique}{78}%
|
||||
\contentsline {subsection}{\numberline {4.4.4}Mouvement circulaire uniforme~: MCU}{80}%
|
||||
\contentsline {subsubsection}{D\IeC {\'e}finition}{80}%
|
||||
\contentsline {subsubsection}{Cin\IeC {\'e}matique}{80}%
|
||||
\contentsline {subsubsection}{Relation importante}{81}%
|
||||
\contentsline {subsubsection}{Dynamique}{81}%
|
||||
\contentsline {subsubsection}{Virages inclin\IeC {\'e}s}{81}%
|
||||
\contentsline {paragraph}{Vitesses minimales}{82}%
|
||||
\contentsline {paragraph}{Vitesses maximales}{83}%
|
||||
\contentsline {subsection}{\numberline {4.4.5}Satellite en orbite g\IeC {\'e}ostationnaire}{84}%
|
||||
\contentsline {subsubsection}{Introduction}{84}%
|
||||
\contentsline {subsubsection}{Th\IeC {\'e}oriquement}{84}%
|
||||
\contentsline {subsubsection}{Num\IeC {\'e}riquement}{84}%
|
||||
\contentsline {subsection}{\numberline {4.4.6}Mouvement central}{84}%
|
||||
\contentsline {subsubsection}{Mouvement kepleriens}{84}%
|
||||
\contentsline {subsubsection}{Loi de Kepler}{84}%
|
||||
\contentsline {chapter}{\numberline {5}M\IeC {\'e}canique diff\IeC {\'e}rentielle}{87}%
|
||||
\contentsline {section}{\numberline {5.1}Introduction}{87}%
|
||||
\contentsline {section}{\numberline {5.2}Cin\IeC {\'e}matique}{87}%
|
||||
\contentsline {subsection}{\numberline {5.2.1}Exemples}{88}%
|
||||
\contentsline {subsubsection}{Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e}~: MRUA}{88}%
|
||||
\contentsline {subsubsection}{Port\IeC {\'e} maximum en balistique}{88}%
|
||||
\contentsline {section}{\numberline {5.3}Dynamique}{89}%
|
||||
\contentsline {subsection}{\numberline {5.3.1}Int\IeC {\'e}gration}{89}%
|
||||
\contentsline {subsubsection}{Chute libre}{89}%
|
||||
\contentsline {subsubsection}{Freinage}{89}%
|
||||
\contentsline {subsection}{\numberline {5.3.2}\IeC {\'E}quation diff\IeC {\'e}rentielle}{89}%
|
||||
\contentsline {subsubsection}{Chute dans un fluide visqueux}{89}%
|
||||
\contentsline {subsubsection}{Mouvement harmonique}{91}%
|
||||
\contentsline {subsubsection}{Mouvement harmonique d'une masse pendante}{92}%
|
||||
\contentsline {subsubsection}{Mouvement non lin\IeC {\'e}aire}{93}%
|
||||
\contentsline {chapter}{\numberline {6}Quantit\IeC {\'e} de mouvement}{95}%
|
||||
\contentsline {section}{\numberline {6.1}Introduction}{95}%
|
||||
\contentsline {section}{\numberline {6.2}Quantit\IeC {\'e} de mouvement}{95}%
|
||||
\contentsline {subsection}{\numberline {6.2.1}Masse d'inertie}{95}%
|
||||
\contentsline {section}{\numberline {6.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{96}%
|
||||
\contentsline {section}{\numberline {6.4}Choc parfaitement \IeC {\'e}lastique}{96}%
|
||||
\contentsline {subsection}{\numberline {6.4.1}Exemple}{96}%
|
||||
\contentsline {section}{\numberline {6.5}Choc parfaitement mou}{97}%
|
||||
\contentsline {subsection}{\numberline {6.5.1}Exemple}{97}%
|
||||
\contentsline {section}{\numberline {6.6}choc bidimentionnel}{98}%
|
||||
\contentsline {subsection}{\numberline {6.6.1}Exemple}{98}%
|
||||
\contentsline {section}{\numberline {6.7}Impulsion}{99}%
|
||||
\contentsline {chapter}{\numberline {7}L'\IeC {\'e}nergie}{101}%
|
||||
\contentsline {section}{\numberline {7.1}Introduction}{101}%
|
||||
\contentsline {section}{\numberline {7.2}Travail}{101}%
|
||||
\contentsline {section}{\numberline {7.3}Puissance}{102}%
|
||||
\contentsline {section}{\numberline {7.4}\IeC {\'E}nergie potentielle}{102}%
|
||||
\contentsline {section}{\numberline {7.5}\IeC {\'E}nergie cin\IeC {\'e}tique}{103}%
|
||||
\contentsline {section}{\numberline {7.6}Th\IeC {\'e}or\IeC {\`e}me de l'\IeC {\'e}nergie cin\IeC {\'e}tique}{103}%
|
||||
\contentsline {section}{\numberline {7.7}Conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{103}%
|
||||
\contentsline {section}{\numberline {7.8}Variation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{105}%
|
||||
\contentsline {section}{\numberline {7.9}\IeC {\'E}nergies renouvelables}{105}%
|
||||
\contentsline {subsection}{\numberline {7.9.1}\IeC {\'E}nergie hydraulique}{105}%
|
||||
\contentsline {subsubsection}{Exemple}{106}%
|
||||
\contentsline {subsubsection}{Types de turbines}{107}%
|
||||
\contentsline {subsubsection}{Alternateur}{107}%
|
||||
\contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{107}%
|
||||
\contentsline {subsection}{\numberline {7.9.2}\IeC {\'E}nergie \IeC {\'e}olienne}{108}%
|
||||
\contentsline {subsection}{\numberline {7.9.3}\IeC {\'E}nergie solaire}{109}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}nergie solaire thermique}{109}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}nergie solaire \IeC {\'e}lectrique}{111}%
|
||||
\contentsline {subsection}{\numberline {7.9.4}\IeC {\'E}nergie g\IeC {\'e}othermique}{112}%
|
||||
\contentsline {section}{\numberline {7.10}\IeC {\'E}nergies non renouvelables}{112}%
|
||||
\contentsline {subsection}{\numberline {7.10.1}\IeC {\'E}nergie nucl\IeC {\'e}aire}{113}%
|
||||
\contentsline {subsubsection}{Fission}{113}%
|
||||
\contentsline {paragraph}{D\IeC {\'e}chets radioactifs}{114}%
|
||||
\contentsline {paragraph}{Accidents nucl\IeC {\'e}aires}{115}%
|
||||
\contentsline {subsubsection}{Fusion}{115}%
|
||||
\contentsline {subsection}{\numberline {7.10.2}\IeC {\'E}nergie de combustion~: p\IeC {\'e}trole et gaz}{115}%
|
||||
\contentsline {chapter}{\numberline {8}L'\IeC {\'e}nergie}{119}%
|
||||
\contentsline {section}{\numberline {8.1}Introduction}{119}%
|
||||
\contentsline {section}{\numberline {8.2}Le travail}{119}%
|
||||
\contentsline {subsection}{\numberline {8.2.1}Historiquement}{119}%
|
||||
\contentsline {subsection}{\numberline {8.2.2}D\IeC {\'e}finition}{120}%
|
||||
\contentsline {subsubsection}{Travail simple}{120}%
|
||||
\contentsline {subsubsection}{Travail et produit scalaire}{120}%
|
||||
\contentsline {subsubsection}{Travail cas g\IeC {\'e}n\IeC {\'e}ral}{120}%
|
||||
\contentsline {section}{\numberline {8.3}L'\IeC {\'e}nergie}{121}%
|
||||
\contentsline {subsection}{\numberline {8.3.1}Introduction}{121}%
|
||||
\contentsline {subsection}{\numberline {8.3.2}\IeC {\'E}nergie potentielle}{121}%
|
||||
\contentsline {subsection}{\numberline {8.3.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{122}%
|
||||
\contentsline {subsection}{\numberline {8.3.4}\IeC {\'E}nergie m\IeC {\'e}canique}{122}%
|
||||
\contentsline {subsection}{\numberline {8.3.5}Exemple}{122}%
|
||||
\contentsline {section}{\numberline {8.4}Conservation de l'\IeC {\'e}nergie}{122}%
|
||||
\contentsline {subsection}{\numberline {8.4.1}Introduction}{122}%
|
||||
\contentsline {subsection}{\numberline {8.4.2}Th\IeC {\'e}or\IeC {\`e}me de conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{122}%
|
||||
\contentsline {subsection}{\numberline {8.4.3}Exemples}{123}%
|
||||
\contentsline {section}{\numberline {8.5}Limite du th\IeC {\'e}or\IeC {\`e}me de conservation}{124}%
|
||||
\contentsline {section}{\numberline {8.6}Forces conservatives}{124}%
|
||||
\contentsline {subsection}{\numberline {8.6.1}D\IeC {\'e}finition}{124}%
|
||||
\contentsline {subsection}{\numberline {8.6.2}Exemples}{124}%
|
||||
\contentsline {subsubsection}{Le poids}{124}%
|
||||
\contentsline {subsubsection}{Le ressort}{125}%
|
||||
\contentsline {subsection}{\numberline {8.6.3}G\IeC {\'e}n\IeC {\'e}ralisation}{125}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}nergie gravifique}{126}%
|
||||
\contentsline {chapter}{\numberline {9}Physique th\IeC {\'e}orique}{129}%
|
||||
\contentsline {section}{\numberline {9.1}Introduction}{129}%
|
||||
\contentsline {section}{\numberline {9.2}\IeC {\'E}nergie potentielle}{129}%
|
||||
\contentsline {section}{\numberline {9.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{129}%
|
||||
\contentsline {section}{\numberline {9.4}Quantit\IeC {\'e} de mouvement}{129}%
|
||||
\contentsline {section}{\numberline {9.5}Conservation de l'\IeC {\'e}nergie}{130}%
|
||||
\contentsline {section}{\numberline {9.6}Principe de moindre action}{130}%
|
||||
\contentsline {subsection}{\numberline {9.6.1}Lagrangien}{130}%
|
||||
\contentsline {subsection}{\numberline {9.6.2}Action}{130}%
|
||||
\contentsline {subsection}{\numberline {9.6.3}Minimalisation}{131}%
|
||||
\contentsline {section}{\numberline {9.7}Euler-Lagrange}{131}%
|
||||
\contentsline {chapter}{\numberline {10}Thermodynamique}{133}%
|
||||
\contentsline {section}{\numberline {10.1}Introduction}{133}%
|
||||
\contentsline {section}{\numberline {10.2}Temp\IeC {\'e}rature}{133}%
|
||||
\contentsline {subsection}{\numberline {10.2.1}Celsius}{133}%
|
||||
\contentsline {subsection}{\numberline {10.2.2}Fahrenheit}{133}%
|
||||
\contentsline {subsection}{\numberline {10.2.3}Kelvin}{134}%
|
||||
\contentsline {subsection}{\numberline {10.2.4}Agitation mol\IeC {\'e}culaire}{134}%
|
||||
\contentsline {section}{\numberline {10.3}Dilatation}{134}%
|
||||
\contentsline {section}{\numberline {10.4}Chaleur}{135}%
|
||||
\contentsline {subsection}{\numberline {10.4.1}Chaleur sp\IeC {\'e}cifique}{135}%
|
||||
\contentsline {subsection}{\numberline {10.4.2}Chaleur latente}{135}%
|
||||
\contentsline {section}{\numberline {10.5}\IeC {\'E}nergie thermique}{136}%
|
||||
\contentsline {subsection}{\numberline {10.5.1}Premier principe}{137}%
|
||||
\contentsline {chapter}{\numberline {11}Thermodynamique}{139}%
|
||||
\contentsline {section}{\numberline {11.1}Temp\IeC {\'e}rature et dilatation}{139}%
|
||||
\contentsline {subsection}{\numberline {11.1.1}Temp\IeC {\'e}rature}{139}%
|
||||
\contentsline {subsection}{\numberline {11.1.2}Dilatation}{139}%
|
||||
\contentsline {section}{\numberline {11.2}Chaleurs sp\IeC {\'e}cifique et latente}{141}%
|
||||
\contentsline {subsection}{\numberline {11.2.1}Introduction}{141}%
|
||||
\contentsline {subsection}{\numberline {11.2.2}Chaleur sp\IeC {\'e}cifique}{141}%
|
||||
\contentsline {subsubsection}{Chaleur massique}{141}%
|
||||
\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{142}%
|
||||
\contentsline {subsubsection}{Notion de mole}{142}%
|
||||
\contentsline {subsubsection}{Chaleur molaire}{142}%
|
||||
\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{143}%
|
||||
\contentsline {subsubsection}{Chaleur latente}{143}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}vaporation}{143}%
|
||||
\contentsline {subsection}{\numberline {11.2.3}Bilan thermique}{144}%
|
||||
\contentsline {section}{\numberline {11.3}Loi des gaz parfaits}{145}%
|
||||
\contentsline {subsection}{\numberline {11.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{145}%
|
||||
\contentsline {subsubsection}{Pression}{145}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{145}%
|
||||
\contentsline {subsubsection}{Approche intuitive}{145}%
|
||||
\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{146}%
|
||||
\contentsline {subsection}{\numberline {11.3.2}Gaz parfait}{147}%
|
||||
\contentsline {section}{\numberline {11.4}Premier principe}{147}%
|
||||
\contentsline {subsection}{\numberline {11.4.1}Chaleur}{147}%
|
||||
\contentsline {subsection}{\numberline {11.4.2}Travail}{148}%
|
||||
\contentsline {subsection}{\numberline {11.4.3}\IeC {\'E}nergie interne}{148}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{149}%
|
||||
\contentsline {subsection}{\numberline {11.4.4}Premier principe}{149}%
|
||||
\contentsline {subsection}{\numberline {11.4.5}Changements d'\IeC {\'e}tats}{149}%
|
||||
\contentsline {subsubsection}{Transformation isobare}{150}%
|
||||
\contentsline {subsubsection}{Transformation isochore}{150}%
|
||||
\contentsline {subsubsection}{Transformation isotherme}{151}%
|
||||
\contentsline {subsubsection}{Transformation adiabatique}{151}%
|
||||
\contentsline {subsection}{\numberline {11.4.6}Chaleurs sp\IeC {\'e}cifiques}{153}%
|
||||
\contentsline {section}{\numberline {11.5}Machines thermiques}{154}%
|
||||
\contentsline {subsection}{\numberline {11.5.1}Machine simple}{154}%
|
||||
\contentsline {subsection}{\numberline {11.5.2}Moteur \IeC {\`a} explosion}{156}%
|
||||
\contentsline {subsection}{\numberline {11.5.3}Moteur Diesel}{158}%
|
||||
\contentsline {subsection}{\numberline {11.5.4}Machine de Stirling}{160}%
|
||||
\contentsline {subsection}{\numberline {11.5.5}Climatiseur}{160}%
|
||||
\contentsline {subsection}{\numberline {11.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{160}%
|
||||
\contentsline {subsection}{\numberline {11.5.7}Pompe \IeC {\`a} chaleur}{160}%
|
||||
\contentsline {subsection}{\numberline {11.5.8}Cycle de Carnot}{160}%
|
||||
\contentsline {section}{\numberline {11.6}Thermodynamique statistique}{161}%
|
||||
\contentsline {section}{\numberline {11.7}Second principe}{162}%
|
||||
\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{163}%
|
||||
\contentsline {section}{\numberline {A.1}Introduction}{163}%
|
||||
\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{163}%
|
||||
\contentsline {section}{\numberline {A.3}Analyse dimensionnelle}{164}%
|
||||
\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{165}%
|
||||
\contentsline {subsection}{\numberline {A.4.1}Exemple}{165}%
|
||||
\contentsline {section}{\numberline {A.5}Conversions}{165}%
|
||||
\contentsline {section}{\numberline {A.6}Sous-multiples}{166}%
|
||||
\contentsline {section}{\numberline {A.7}Notation scientifique}{166}%
|
||||
\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{167}%
|
||||
\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{169}%
|
||||
\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{169}%
|
||||
\contentsline {subsection}{\numberline {B.1.1}Introduction}{169}%
|
||||
\contentsline {subsection}{\numberline {B.1.2}Description}{169}%
|
||||
\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{169}%
|
||||
\contentsline {subsection}{\numberline {B.2.1}Introduction}{169}%
|
||||
\contentsline {subsection}{\numberline {B.2.2}Description}{169}%
|
||||
\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{170}%
|
||||
\contentsline {chapter}{\numberline {C}Mesures de distances}{171}%
|
||||
\contentsline {section}{\numberline {C.1}La taille de la Terre}{171}%
|
||||
\contentsline {subsection}{\numberline {C.1.1}Le principe}{171}%
|
||||
\contentsline {subsection}{\numberline {C.1.2}Techniquement}{172}%
|
||||
\contentsline {section}{\numberline {C.2}La taille de la Lune}{173}%
|
||||
\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{173}%
|
||||
\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{174}%
|
||||
\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{176}%
|
||||
\contentsline {chapter}{\numberline {D}Travaux pratiques}{177}%
|
||||
\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{177}%
|
||||
\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{178}%
|
||||
\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{178}%
|
||||
\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{178}%
|
||||
\contentsline {subsubsection}{But}{178}%
|
||||
\contentsline {subsubsection}{Th\IeC {\'e}orie}{178}%
|
||||
\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{178}%
|
||||
\contentsline {subsubsection}{R\IeC {\'e}sultats}{178}%
|
||||
\contentsline {subsubsection}{Discussion}{180}%
|
||||
\contentsline {subsubsection}{Conclusion}{180}%
|
||||
\contentsline {subsubsection}{Annexes}{180}%
|
||||
\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{181}%
|
||||
\contentsline {subsection}{\numberline {D.2.1}Introduction}{181}%
|
||||
\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{181}%
|
||||
\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{181}%
|
||||
\contentsline {subsection}{\numberline {D.2.4}Mesures}{181}%
|
||||
\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{181}%
|
||||
\contentsline {subsection}{\numberline {D.2.6}Analyse}{181}%
|
||||
\contentsline {section}{\numberline {D.3}Le pendule simple}{181}%
|
||||
\contentsline {subsection}{\numberline {D.3.1}Les mesures}{181}%
|
||||
\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{182}%
|
||||
\contentsline {section}{\numberline {D.4}Mouvement simple~: MRU}{182}%
|
||||
\contentsline {subsection}{\numberline {D.4.1}Les mesures}{182}%
|
||||
\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{182}%
|
||||
\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{182}%
|
||||
\contentsline {section}{\numberline {D.5}Mouvement simple~:\\MRUA}{182}%
|
||||
\contentsline {subsection}{\numberline {D.5.1}But}{182}%
|
||||
\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{183}%
|
||||
\contentsline {subsection}{\numberline {D.5.3}Les mesures}{183}%
|
||||
\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{183}%
|
||||
\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{183}%
|
||||
\contentsline {section}{\numberline {D.6}La chute libre}{183}%
|
||||
\contentsline {subsection}{\numberline {D.6.1}Cette exp\IeC {\'e}rience donnant lieu \IeC {\`a} un rapport not\IeC {\'e}, elle n'est pas d\IeC {\'e}crite.}{183}%
|
||||
\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{183}%
|
||||
\contentsline {section}{\numberline {D.7}Le canon horizontal}{183}%
|
||||
\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{184}%
|
||||
\contentsline {chapter}{\numberline {E}Rotations}{185}%
|
||||
\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{185}%
|
||||
\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{185}%
|
||||
\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{187}%
|
||||
\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{187}%
|
||||
\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{189}%
|
||||
\contentsline {section}{\numberline {F.1}La position}{189}%
|
||||
\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{189}%
|
||||
\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{189}%
|
||||
\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{190}%
|
||||
\contentsline {chapter}{\numberline {G}Chute de la Lune}{191}%
|
||||
\contentsline {section}{\numberline {G.1}Introduction}{191}%
|
||||
\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{191}%
|
||||
\contentsline {section}{\numberline {G.3}Force de gravitation}{192}%
|
||||
\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{193}%
|
||||
\contentsline {section}{\numberline {H.1}Introduction}{193}%
|
||||
\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{193}%
|
||||
\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{194}%
|
||||
\contentsline {section}{\numberline {H.4}Loi de Kepler}{194}%
|
||||
\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{195}%
|
||||
\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{195}%
|
||||
\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{196}%
|
||||
\contentsline {section}{\numberline {I.3}Invariance}{197}%
|
||||
\contentsline {section}{\numberline {I.4}Forces inertielles}{197}%
|
||||
\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{197}%
|
||||
\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{198}%
|
||||
\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{199}%
|
||||
\contentsline {section}{\numberline {J.1}Introduction}{199}%
|
||||
\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{199}%
|
||||
\contentsline {section}{\numberline {J.3}Force d'inertie}{200}%
|
||||
\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{200}%
|
||||
\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{200}%
|
||||
\contentsline {section}{\numberline {J.4}Poids relatif}{201}%
|
||||
\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{201}%
|
||||
\contentsline {section}{\numberline {J.6}Autres rythmes}{201}%
|
||||
\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{202}%
|
||||
\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{202}%
|
||||
\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{202}%
|
||||
\contentsline {subsection}{\numberline {J.6.4}Mar\IeC {\'e}es de p\IeC {\'e}rig\IeC {\'e}e et p\IeC {\'e}rih\IeC {\'e}lie}{203}%
|
||||
\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{203}%
|
||||
\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{203}%
|
||||
\contentsline {section}{\numberline {J.7}Limite de Roche}{203}%
|
||||
\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{204}%
|
||||
\contentsline {subsection}{\numberline {J.7.2}Exemples}{205}%
|
||||
\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{207}%
|
||||
\contentsline {section}{\numberline {K.1}Introduction}{207}%
|
||||
\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{207}%
|
||||
\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{208}%
|
||||
\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{208}%
|
||||
\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{209}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{209}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{209}%
|
||||
\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{209}%
|
||||
\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{210}%
|
||||
\contentsline {chapter}{\numberline {L}Exercices}{211}%
|
||||
\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{211}%
|
||||
\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{211}%
|
||||
\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{211}%
|
||||
\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{212}%
|
||||
\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{212}%
|
||||
\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{213}%
|
||||
\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{213}%
|
||||
\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{214}%
|
||||
\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{214}%
|
||||
\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{216}%
|
||||
\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{218}%
|
||||
\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{218}%
|
||||
\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{219}%
|
||||
\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{219}%
|
||||
\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{219}%
|
||||
\contentsline {section}{\numberline {L.2}Solutions}{220}%
|
||||
\contentsline {section}{\numberline {L.3}Solutions OS}{235}%
|
||||
\contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{247}%
|
||||
\contentsline {section}{\numberline {M.1}Ordre de grandeur}{247}%
|
||||
\contentsline {subsection}{\numberline {M.1.1}Chiffres significatifs}{247}%
|
||||
\contentsline {subsection}{\numberline {M.1.2}Ordre de grandeur}{247}%
|
||||
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@ -46,7 +46,7 @@ Pour tout renseignement complémentaire s'adresser à~:
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\begin{center}vincent@cvgg.org\end{center}
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\begin{center}\textbf{Copyright 2007 Guyot Vincent}\end{center}
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\begin{center}\textbf{Copyright \the\year{} Guyot Vincent}\end{center}
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\begin{center}Permission vous est donnée de copier, distribuer et/ou modifier ce document selon les termes de la Licence GNU Free Documentation License, Version 1.1 ou ultérieure publiée par la Free Software Fundation ; avec les sections inaltérables suivantes~:\end{center}
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||||
116
SolutionsOS.tex
116
SolutionsOS.tex
@ -1,6 +1,6 @@
|
||||
\begin{Solution OS}{1}
|
||||
La masse m constitue évidemment le système. On choisit un système d'axes vertical et horizontal dirigé vers le haut et dans le sens de l'accélération.
|
||||
|
||||
|
||||
Les forces extérieures exercées sur la masse sont au nombre de trois~: son poids P, la réaction du plan R et la force F.
|
||||
\begin{figure}[ht]
|
||||
\caption[Force inclinée]{Une force inclinée}\label{forceinclinee}
|
||||
@ -11,7 +11,7 @@
|
||||
\end{center}
|
||||
\end{figure}
|
||||
La figure \ref{forceinclinee} présente la situation. On peut y voir les trois forces extérieures et, en rouge , la décomposition de la force F en ses composantes sur les axes (remarquez qu'on a représenté les composantes par des vecteurs, ce qui est courant en physique lors de la décomposition de forces parce qu'on peut alors comprendre celle-ci comme un remplacement de la force F par deux forces qui en forment la somme).
|
||||
|
||||
|
||||
L'équation de Newton sous forme vectorielle donne alors les équations du mouvement en composantes~:
|
||||
\begin{align*}
|
||||
\sum \overrightarrow{F}^{ext}=\overrightarrow{R}+\overrightarrow{P}+\overrightarrow{F}&=m\cdot \overrightarrow{a}\;\Rightarrow\\[0.8em]
|
||||
@ -19,7 +19,7 @@
|
||||
R-P-F_y&=0
|
||||
\end{align*}
|
||||
car l'accélération selon l'axe y est nulle puisque la masse ne se déplace par sur cet axe.
|
||||
|
||||
|
||||
En considérant le triangle formé par la force F, sa composante sur l'axe x et l'angle \(\alpha\), on peut écrire~:
|
||||
\[F_x=F\cdot \cos(\alpha)\;\;\text{et}\;\;F_y=F\cdot \sin(\alpha)\]
|
||||
et à l'aide de la définition du poids (\(P=m\cdot g\)), préciser les équations du mouvement~:
|
||||
@ -53,7 +53,7 @@
|
||||
F_y+R_y-P&=0
|
||||
\end{align*}
|
||||
car le système est statique et l'accélération nulle.
|
||||
|
||||
|
||||
En considérant que le poids \(P=m\cdot g\) et les triangles d'angles au sommet \(\alpha\) et \(\beta\), grâce à la trigonométrie, on peut écrire~:
|
||||
\[F_x=F\cdot \cos(\beta)\;\;\textbf{et}\;\;R_x=R\cdot \cos(\alpha)\]
|
||||
et préciser les équations du mouvement~:
|
||||
@ -78,9 +78,9 @@
|
||||
\end{Solution OS}
|
||||
\begin{Solution OS}{3}
|
||||
On commence par choisir le système. Pour éviter de devoir calculer la tension dans la corde, on le choisit comme constitué de la corde et des deux masses M et m.
|
||||
|
||||
|
||||
Les forces extérieures sont alors au nombre de trois. Le plan horizontal exerce sur la masse M une force de soutient verticale égale et opposée à son poids (mais qui ne sont pas l'action et la réaction l'une de l'autre), puisque la masse se déplace horizontalement. Ces deux forces s'annulent donc. Reste le poids de la masse m, seule force extérieure à agir pour accélérer le système.
|
||||
|
||||
|
||||
On peut donc écrire, selon la seconde loi de Newton~:
|
||||
\[\sum F^{ext}=m\cdot g=(M+m)\cdot a\]
|
||||
où M+m est la masse du système. Ainsi, finalement, on peut calculer la valeur de l'accélération~:
|
||||
@ -99,9 +99,9 @@
|
||||
\end{Solution OS}
|
||||
\begin{Solution OS}{4}
|
||||
Deux forces agissent ici~: la réaction du plan, qui lui est normale (c'est-à-dire perpendiculaire), et le poids de la masse. Comme la réaction du plan n'a aucune composante parallèlement au plan, elle ne peut être responsable de l'accélération de la masse le long de celui-ci.
|
||||
|
||||
|
||||
Il faut donc trouver la composante du poids qui est parallèle au plan incliné. L'angle entre le poids et un plan horizontal est de \SI{90}{\degree}. Quand le plan est incliné, cet angle diminue de la valeur de l'inclinaison. L'angle \(\beta\) entre le plan incliné et le poids et donc \(\beta=90-\alpha\).
|
||||
|
||||
|
||||
Comme la projection du poids selon l'angle \(\beta\) correspond à sa composante parallèle au plan, dans le triangle rectangle composé du poids comme hypoténuse et de ses composantes parallèle et perpendiculaire au plan, la composante parallèle au plan correspond au côté adjacent. Ainsi, on peut écrire~:
|
||||
\begin{align*}
|
||||
P_{//}&=P\cdot\cos(\beta)=P\cdot\cos(90-\alpha)\\
|
||||
@ -116,7 +116,7 @@
|
||||
\end{align*}
|
||||
Avec une vitesse initiale nulle, pour un MRUA d'accélération calculée ci-dessus, la vitesse au bout d'un temps t=\SI{2}{\second} s'obtient par~:
|
||||
\[v=a\cdot t+v_0=3,36\cdot 2=\SI{9,72}{\metre\per\second}\]
|
||||
|
||||
|
||||
\medskip
|
||||
Une autre manière de résoudre le problème est de procéder avec méthode. Le système qu'on doit choisir est bien évidemment la masse m, puisque c'est de celle-ci qu'on cherche l'accélération pour en trouver la vitesse au bout de \SI{2}{\second}.
|
||||
\begin{figure}[ht]
|
||||
@ -126,17 +126,17 @@
|
||||
\def\svgwidth{5cm}
|
||||
\input{Annexe-Exercices/Images/incline.eps_tex}
|
||||
\end{figure}
|
||||
|
||||
|
||||
La figure \ref{incline} présente ensuite le dessin des forces extérieures et le choix du système d'axes. Remarquez que ce dernier l'a été selon l'inclinaison du plan. Il aurait pu ne pas en être ainsi, mais ce choix simplifie les calculs, car la masse étant contrainte à se déplacer le long du plan, son accélération perpendiculairement est nulle. Les équations de la seconde loi de Newton, obtenues par projection des forces extérieures et de l'accélération selon les axes, peuvent alors s'écrire~:
|
||||
\begin{align*}
|
||||
\sum F^{ext}_x&=P_x=m\cdot a_x &\text{sur l'axe x}\\
|
||||
\sum F^{ext}_y&=R-P_y=m\cdot a_y=0 &\text{sur l'axe y}
|
||||
\end{align*}
|
||||
car l'accélération perpendiculairement au plan est nulle, comme déjà mentionné.
|
||||
|
||||
|
||||
\smallskip
|
||||
Si on considère l'angle \(\alpha\), en s'imaginant le plan incliné horizontal, on comprends qu'il se reporte entre le vecteur poids \(\overleftarrow{P}\) et sa composante selon y \(P_y\).
|
||||
|
||||
|
||||
Avec le triangle rectangle formé par le poids et ses composantes et un peu de trigonométrie, on peut en déduire~:
|
||||
\begin{align*}
|
||||
P_x &= P\cdot \sin(\alpha)\\
|
||||
@ -152,27 +152,27 @@
|
||||
a=a_x&=g\cdot \sin(\alpha)\\
|
||||
&=9,81\cdot\sin(20)=\SI{3,36}{\metre\per\second\squared}
|
||||
\end{align*}
|
||||
|
||||
|
||||
\smallskip
|
||||
Mais une information supplémentaire nous est donnée par la seconde équation, c'est la valeur de la réaction R au plan~:
|
||||
\begin{align*}
|
||||
R&=m\cdot g\cdot \cos(\alpha)\\
|
||||
&=3\cdot 9,81\cdot \cos(20)=\SI{27,67}{\newton}
|
||||
\end{align*}
|
||||
|
||||
|
||||
\smallskip
|
||||
Ensuite, le problème se résout de la même manière que précédemment.
|
||||
Ensuite, le problème se résout de la même manière que précédemment.
|
||||
|
||||
\end{Solution OS}
|
||||
\begin{Solution OS}{5}
|
||||
Le problème peut paraître complexe du fait de la présence de deux objets distincts se déplaçant selon deux axes différents. Pourtant, le fait que la corde soit inextensible fait de l'ensemble des deux masse et de la corde un système se déplaçant avec la même accélération. De plus, pour autant qu'on considère correctement l'action des forces sur chaque masse, on peut s'imaginer ce système se déplaçant d'un bloc horizontalement.
|
||||
|
||||
|
||||
\smallskip
|
||||
Comme on ne connaît pas la tension dans la corde (on ne peut s'imaginer à priori qu'elle correspond au poids de la masse m), le choix du système comprenant les deux masses et la corde s'impose, car ainsi la tension dans la corde, en tant que force intérieure, n'apparaîtra pas dans les équations de Newton.
|
||||
|
||||
|
||||
\smallskip
|
||||
Comme déjà dit, on peut considérer le système d'un seul tenant. On va donc imaginer un axe suivant la corde et orienté vers le bas du plan incliné, car la masse M étant plus grande que m, il est évident que le mouvement se fera dans ce sens. Ainsi, le signe de l'accélération sera positif.
|
||||
|
||||
|
||||
\smallskip
|
||||
Reste à considérer les forces extérieures. Elles sont au nombre de quatre~:
|
||||
\begin{enumerate}
|
||||
@ -181,11 +181,11 @@
|
||||
\item celui p de la masse et
|
||||
\item la force exercée sur la corde par la poulie.
|
||||
\end{enumerate}
|
||||
|
||||
|
||||
La dernière est toujours perpendiculaire à la corde et ne participe donc pas au mouvement des masses. La troisième est toujours parallèle à la corde. La seconde est toujours perpendiculaire au plan incliné et ne participe elle aussi pas au mouvement. La première à une composante perpendiculaire au plan incliné et ne participe pas au mouvement, mais aussi une composante parallèle à ce plan et doit être considérée.
|
||||
Avec l'angle \(\alpha\) défini, on peut reprendre le raisonnement évoqué au problème \ref{planinclinesimple}, évoquant le triangle rectangle formé par le poids de la masse M et se composantes et affirmant que l'angle \(\alpha\) est celui entre le poids et sa composante perpendiculaire au plan, pour écrire que la composante parallèle au plan vaut~:
|
||||
\[P_{//}=M\cdot g\cdot \sin(\alpha)\]
|
||||
|
||||
|
||||
\smallskip
|
||||
À partir de là, on peut écrire l'équation du mouvement du système (des deux masse et de la corde)~:
|
||||
\[\sum F^{ext}=M\cdot g\cdot \sin(\alpha)-m\cdot g=(M+m)\cdot a\]
|
||||
@ -196,27 +196,27 @@
|
||||
&=\SI{-0,6}{\metre\per\second\squared}
|
||||
\end{align*}
|
||||
Le signe négatif signifie que la masse M monte vers le haut du plan incliné.
|
||||
|
||||
|
||||
\medskip
|
||||
Pour calculer la tension dans la corde, il est indispensable de changer de système pour la faire apparaître en tant que force extérieure dans l'équation de Newton.
|
||||
|
||||
|
||||
Trois éléments peuvent prétendre servir de système.
|
||||
|
||||
|
||||
La corde en premier lieu. Si on la considère seule, à l'une de ses extrémités la masse m exerce sur elle une force \(T_m\) et à l'autre la masse M exerce une tension à priori différente \(T_M\). La force exercée par la poulie reste perpendiculaire et ne contribue pas au mouvement. On peut donc écrire~:
|
||||
\[T_M-T_m=\mu\cdot a\]
|
||||
où \(\mu\) est la masse de la corde. Or, si cette masse est nulle, indépendamment de l'accélération, le deux tensions sont égales. Cela est évidemment valable pour tous les éléments de la corde dont on dira donc qu'elle exerce une force \(T\) à déterminer.
|
||||
|
||||
|
||||
Le système corde ne permet donc pas de la trouver.
|
||||
|
||||
|
||||
Restent les deux masses. Pour la masse M interviendra dans l'équation du mouvement un sinus qu'on va éviter en considérant m.
|
||||
|
||||
|
||||
Sur m, avec un axe pointant toujours vers le haut, l'équation de Newton devient très simple~:
|
||||
\begin{align*}
|
||||
\sum F{ext}&=T-m\cdot g=m\cdot a\;\Rightarrow\\
|
||||
T&=m\cdot (a+g)=3\cdot (-0,6+9,81)\\
|
||||
&=\SI{27,6}{\newton}
|
||||
\end{align*}
|
||||
|
||||
|
||||
\medskip
|
||||
Pour vérifier ce résultat, choisissons l'autre masse (M) pour système. On écrira alors~:
|
||||
\begin{align*}
|
||||
@ -233,7 +233,7 @@
|
||||
v&=\sqrt{2\cdot g\cdot h}=\sqrt{2\cdot 9.81\cdot 2}\\
|
||||
&=\SI{6,26}{\metre\per\second}
|
||||
\end{align*}
|
||||
|
||||
|
||||
Ensuite, si on considère que la descente en parachute se fait à vitesse constante, c'est-à-dire avec une accélération nulle, on peut écrire~:
|
||||
\begin{align*}
|
||||
\sum F^{ext}&=-T+m\cdot g=m\cdot a=0\;\Rightarrow\\
|
||||
@ -248,12 +248,12 @@
|
||||
\[\sum F^{ext}=F-(M+m)\cdot g=(M+m)\cdot a=0\]
|
||||
puisque l'accélération est nulle. Ainsi, la force F exercée par le ballon sur la nacelle est simplement égale au poids du système~:
|
||||
\[F=(M+m)\cdot g=180\cdot 9,81=\SI{1765,8}{\newton}\]
|
||||
|
||||
|
||||
\smallskip
|
||||
Le même raisonnement vaut pour la masse suspendue dont l'accélération est nulle. Ainsi la tension T dans la corde vaut exactement le poids de la masse pendante~:
|
||||
\[T=m\cdot g=80\cdot 9,81=\SI{784,8}{\newton}\]
|
||||
\item À vitesse constante, la force permettant au ballon de s'élever est donc égale au poids de ce qu'il soulève. La force d'ascension vaut donc \(F=\SI{1765,8}{\newton}\).
|
||||
|
||||
|
||||
Si on lâche \SI{20}{\kilo\gram} de lest, la masse de la nacelle devient égale à \SI{80}{\kilo\gram}. La seconde loi de Newton permet alors de calculer l’accélération~:
|
||||
\begin{align*}
|
||||
\sum F^{ext}&=F-(M+m)\cdot g=(M+m)\cdot a\;\Rightarrow\\
|
||||
@ -261,7 +261,7 @@
|
||||
&=\SI{1,23}{\metre\per\second\squared}
|
||||
\end{align*}
|
||||
Évidemment, la force exercée par le ballon sur la nacelle vaut \SI{1765,8}{\newton}.
|
||||
|
||||
|
||||
La force exercée par la corde sur la masse se calcule finalement par application de la seconde loi au système constitué uniquement de m~:
|
||||
\begin{align*}
|
||||
\sum F^{ext}&=T-m\cdot g=m\cdot a\;\Rightarrow\\
|
||||
@ -273,7 +273,7 @@
|
||||
\end{Solution OS}
|
||||
\begin{Solution OS}{8}
|
||||
On verra ci-dessous que l'utilisation de la seconde loi de Newton permet d'obtenir une relation entre l'accélération de chaque masse, constituant une équation à deux inconnues. Pour déterminer la valeur des deux accélérations, il est donc nécessaire de trouver une seconde équation entre ces deux équations.
|
||||
|
||||
|
||||
\medskip
|
||||
Imaginons une poulie suspendue à une corde qui dépasse de celle-ci des deux côtés d'une longueur L, comme présenté sur la figure \ref{cordepoulie}. La demi-circonférence de la poulie vaut aussi L.
|
||||
\begin{figure}[ht]
|
||||
@ -284,10 +284,10 @@
|
||||
\input{Annexe-Exercices/Images/cordepoulie.eps_tex}
|
||||
\end{figure}
|
||||
On tire sur la corde à gauche pour la faire monter d'une hauteur L.
|
||||
|
||||
|
||||
\smallskip
|
||||
La question est~: \emph{de quelle hauteur monte la poulie ?}
|
||||
|
||||
|
||||
\smallskip
|
||||
Pour le déterminer, il faut considérer qu'en tirant sur la corde pour la faire monter d'une hauteur L, on amène le point A qui est à l'origine au contact de la poulie à la place du point B du haut de la corde (voir figure \ref{cordepoulie}). Si la poulie restait à sa place, on aurait la situation de la figure \ref{cordepoulietiree}). Mais, elle est en réalité libre de monter. Ce qui reste fixe est le point C de la figure \ref{cordepoulie}.
|
||||
\begin{figure}[ht]
|
||||
@ -304,40 +304,40 @@
|
||||
\medskip
|
||||
\def\svgwidth{3.1cm}
|
||||
\input{Annexe-Exercices/Images/cordepoulietireejuste.eps_tex}
|
||||
\end{figure}
|
||||
\end{figure}
|
||||
Ainsi, quand on tire la corde d'une longueur L, la poulie monte d'une longueur L/2.
|
||||
|
||||
|
||||
\bigskip
|
||||
Pour revenir au système des deux poulies du problème, la remarque précédente se traduit par le fait que quand la masse m descend d'une longueur L, la masse M monte d'une longueur L/2.
|
||||
|
||||
|
||||
L'accélération étant une distance divisée par un temps au carré, on comprends facilement que cela signifie que l'accélération de la masse m vaut simplement le double de celle de la masse M, soit~:
|
||||
\[a_m=2\cdot a_M\]
|
||||
Cette équation constitue une première relation entre les deux inconnues que sont les accélérations de chaque masse.
|
||||
|
||||
|
||||
\bigskip
|
||||
Les masses étant égales, on pourrait aussi croire que le système est en équilibre. Ce n'est pas le cas. Pour le comprendre, considérons la poulie qui n'est pas accrochée au plafond.
|
||||
|
||||
\smallskip
|
||||
À l'instar d'une poulie suspendue au plafond à laquelle on accroche deux masses identiques pendantes par l'intermédiaire d'une corde, la force totale qu'exerce sur elle le plafond vaut évidemment le poids total des deux masses, puisque la poulie ne bouge pas. Or, pour que chaque masse individuellement ne bouge pas, il faut que la corde qui passe dans la poulie exerce sur chacune d'elle une force égale à son poids. De chaque côté de la poulie, la corde exerce donc une même force et la poulie est tirée vers le bas par l'ensemble de ces deux forces.
|
||||
|
||||
|
||||
\smallskip
|
||||
Ainsi, sur la poulie qui n'est pas accrochée au plafond, la force totale exercée vers le haut vaut deux fois la tension dans la corde. Vers le bas, seule le poids de la masse M qui lui est suspendue est présent.
|
||||
|
||||
|
||||
\smallskip
|
||||
De l'autre côté, la masse m retenue par la corde qui passe sur la poulie suspendue au plafond est soumise à un poids identique vers le bas et à une seule force vers le haut exercée par la corde. Comme la masse de la corde est nulle, la tension dans la corde est la même partout.
|
||||
|
||||
|
||||
\smallskip
|
||||
Finalement, la masse M est tirée vers le haut par deux fois la tension dans la corde et la masse m est retenue par une fois la tension dans la corde. Clairement donc, la première monte et la seconde descend.
|
||||
|
||||
|
||||
\medskip
|
||||
Le choix du système d'axe est donc clair~: vers le haut pour la masse M qui monte et vers le bas pour m qui descend, le mouvement se faisant dans cette direction avec une accélération a identique pour les deux masses.
|
||||
|
||||
|
||||
\smallskip
|
||||
On peut alors écrire les équations du mouvement de chaque masse ainsi~:
|
||||
\begin{align*}
|
||||
m\cdot g-T&=m\cdot a_m\\
|
||||
2\cdot T-M\cdot g&=M\cdot a_M
|
||||
\end{align*}
|
||||
\end{align*}
|
||||
En multipliant par deux la première équation, on peut les additionner pour en tirer l'accélération.
|
||||
\begin{align*}
|
||||
2\cdot m\cdot g-2\cdot T&=2\cdot m\cdot a_m\\
|
||||
@ -346,7 +346,7 @@
|
||||
2\cdot m\cdot g-M\cdot g&=2\cdot m\cdot a_m+M\cdot a_M
|
||||
\end{align*}
|
||||
Cela constitue la seconde relation entre les deux inconnues que sont les accélérations de chaque masse.
|
||||
|
||||
|
||||
\medskip
|
||||
Avec la première relation établie ci-dessus entre les accélérations des deux masses (\(a_m=2\cdot a_M\)), on a alors~:
|
||||
\begin{align*}
|
||||
@ -374,8 +374,8 @@
|
||||
a_x&=\frac{R\cdot \sin(\alpha)}{m}\\
|
||||
a_y&=\frac{R\cdot \cos(\alpha)-m\cdot g}{m}
|
||||
\end{align*}
|
||||
Visiblement, on a deux équations pour trois inconnues, les deux accélérations et la réaction du plan.
|
||||
|
||||
Visiblement, on a deux équations pour trois inconnues, les deux accélérations et la réaction du plan.
|
||||
|
||||
Pour le calcul de cette dernière, il est donc nécessaire de disposer de l'équation supplémentaire donnée par la contrainte imposée à la masse de rester sur le plan incliné, soit la relation spécifiant que la réaction R est égale à la composante perpendiculaire au plan incliné du poids~:
|
||||
\[R=P\cdot \cos(\alpha)=m\cdot g\cdot \cos(\alpha)\]
|
||||
Ainsi, en remplaçant dans les équations du mouvement, on a~:
|
||||
@ -400,9 +400,9 @@
|
||||
\begin{Solution OS}{10}
|
||||
Rappelons tout d'abord que l'exercice \ref{massesuspendue} a permis de calculer l'accélération d'un système de deux masses, l'une sur un plan horizontal, la masse M', et l'autre pendant dans le vide, la masse m, accrochée à la première par une ficelle sans masse. Avec un système constitué des deux masses, on a pu montrer que~:
|
||||
\[m\cdot g=(M'+m)\cdot a\;\;\Rightarrow\;\;a=\frac{m}{M'+m}\cdot g\]
|
||||
|
||||
|
||||
C'est à partir de là que l'on peut résoudre le présent problème.
|
||||
|
||||
|
||||
\smallskip
|
||||
La solution est toute simple. À un instant donné on groupe toute la masse qui glisse sur le plan pour en faire la masse M et toute la masse pendante pour en faire la masse m. Pour cela, définissons une masse par unité de longueur de corde~:
|
||||
\[\rho=\frac{M}{L}\]
|
||||
@ -503,13 +503,13 @@
|
||||
&=0,6\cdot 2\cdot 9,81=\SI{11,77}{\newton}
|
||||
\end{align*}
|
||||
On est alors à l'imminence de glissement.
|
||||
|
||||
|
||||
Pour calculer l'accélération des deux masses, qui n'en forment alors plus qu'une, il faut choisir le système qui les constitue et écrire~:
|
||||
\begin{align*}
|
||||
F&=(M+m)\cdot a\;\Rightarrow\;a=\frac{F}{M+m}\\
|
||||
&=\frac{11,77}{2+5}=\SI{1,68}{\metre\per\second\squared}
|
||||
\end{align*}
|
||||
|
||||
|
||||
\medskip
|
||||
À partir du moment où le glissement commence, la force de frottement statique maximum devient une force de frottement cinétique. Si les c\oe fficients de frottements statique et cinétique sont égaux, la force de frottement cinétique est égale à celle statique maximale et ne varie plus. Ainsi, sur le bloc du bas ne s'exerce qu'une seule force extérieure, c'est la réaction à la force de frottement cinétique exercée par le bloc du bas sur celui du haut. Sa valeur est donnée par le calcul ci-dessus. Ainsi, on peut écrire pour le système du bas~:
|
||||
\begin{align*}
|
||||
@ -557,13 +557,13 @@
|
||||
\medskip
|
||||
\def\svgwidth{4cm}
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||||
\input{Annexe-Exercices/Images/blocsuspenduforces.eps_tex}
|
||||
\end{figure}
|
||||
\end{figure}
|
||||
\begin{align*}
|
||||
F_{fr}&=\mu_{stat}\cdot N\;\Rightarrow\\
|
||||
N&=\frac{F_{fr}}{\mu_{stat}}=\frac{29,43}{0,5}=\SI{58,86}{\newton}
|
||||
\end{align*}
|
||||
On peut dire en français que pour avoir une force de frottement donnée il faut une réaction normale N de valeur double, en raison du c\oe fficient de frottement particulier ici.
|
||||
|
||||
|
||||
\medskip
|
||||
C'est la force normale \(\overrightarrow{N}\) qui est la seule force qui pousse la masse m horizontalement. Elle est donc responsable de l'accélération qu'on peut ainsi calculer simplement à l'aide de la seconde loi~:
|
||||
\[a=\frac{N}{m}=\frac{58,56}{3}=\SI{19,62}{\metre\per\second\squared}\]
|
||||
@ -590,22 +590,22 @@
|
||||
&=\SI{490500}{\joule}
|
||||
\end{align*}
|
||||
pour une seule montée. Pour 5 montées, on a donc \SI{2452500}{\joule}.
|
||||
|
||||
|
||||
\medskip
|
||||
C'est évidemment la même énergie qui est perdue pendant la descente (à l'exception de la poussée initiale). Elle vient du travail du poids sur le bob et les quatre personnes qui se trouvent à l'intérieur.
|
||||
|
||||
|
||||
\medskip
|
||||
L'énergie potentielle perdue par le bob sert à augmenter sa vitesse et à lutter contre le frottement. Le travail nécessaire à parvenir à une vitesse de \SI{80}{\kilo\metre\per\hour} est égal à l'énergie cinétique acquise. Pour un bob de \SI{600}{\kilo\gram} et une vitesse moyenne de 80/3,6=\SI{22,2}{\metre\per\second}, on a un travail de~:
|
||||
\[A=\frac{1}{2}\cdot m\cdot v^2=\frac{1}{2}\cdot 600\cdot 22,2^2=\SI{148148}{\joule}\]
|
||||
par descente. Soit au total, pour 5 descentes \SI{740740}{\joule}.
|
||||
|
||||
|
||||
Cette valeur est supérieure à l'énergie fournie au bob pendant la montée. C'est normal, car on a pas tenu compte alors de l'énergie nécessaire à monter les personnes. Pour cela, il faut calculer l'énergie potentielle acquise par la masse de \SI{600}{\kilo\gram}~:
|
||||
\[E_{pot}=600\cdot 9,81\cdot 200=\SI{1177200}{\joule}\]
|
||||
qui est bien supérieure à celle fournie pour augmenter la vitesse.
|
||||
|
||||
|
||||
\medskip
|
||||
La différence d'énergie potentielle et cinétique, soit 1'117'200-740'740 = \SI{436460}{\joule}, est perdue dans le frottement.
|
||||
|
||||
|
||||
Comme la distance sur laquelle il s'exerce est de \SI{1800}{\metre}, on peut calculer la force de frottement moyenne par~:
|
||||
\begin{align*}
|
||||
A_{fr}&=F_fr\cdot d\;\Rightarrow\\
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Loading…
Reference in New Issue
Block a user