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</style></head><body dir="ltr" style="max-width:21.001cm;margin-top:0.741cm; margin-bottom:2cm; margin-left:2cm; margin-right:2cm; writing-mode:lr-tb; "><p class="P43">Chapitre 3 – <span class="T1">Géométrie des masses</span></p><h2 class="Heading_20_2"><a id="a__Calcul_du_centre_de_masse"><span/></a>Calcul du centre de masse</h2><!--Next 'div' was a 'text:p'.--><div class="Text_20_body"><span class="T1">Soit un solide S, le centre de masse est :</span><!--Next '
span' is a draw:frame.
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span' is a draw:frame.
--><span style="height:0.531cm;width:0.549cm; padding:0; " class="fr2" id="Objet7"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<msub>
<mi>S</mi>
<mrow>
<mi>i</mi>
</mrow>
</msub>
</mrow></math><img style="height:0.531cm;width:0.549cm;" alt="" src="data:image/*;base64,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"/></span><!--Next 'div' added for floating.--><div style="position:relative; left:0cm;">de masse </div><!--Next '
span' is a draw:frame.
--><span style="height:0.531cm;width:0.605cm; padding:0; " class="fr2" id="Objet8"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<msub>
<mi>m</mi>
<mrow>
<mi>i</mi>
</mrow>
</msub>
</mrow></math><img style="height:0.531cm;width:0.605cm;" alt="" src="data:image/*;base64,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"/></span><!--Next 'div' added for floating.--><div style="position:relative; left:-0.549cm;">, avec </div><!--Next '
span' is a draw:frame.
--><span style="height:0.531cm;width:3.15cm; padding:0; " class="fr2" id="Objet9"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mrow>
<mi>S</mi>
<mo stretchy="false">=</mo>
<mrow>
<mrow>
<mrow>
<msub>
<mi>S</mi>
<mrow>
<mn>1</mn>
</mrow>
</msub>
<mo stretchy="false">+</mo>
<msub>
<mi>S</mi>
<mrow>
<mn>2</mn>
</mrow>
</msub>
</mrow>
<mo stretchy="false">+</mo>
<mn>...</mn>
</mrow>
<mo stretchy="false">+</mo>
<msub>
<mi>S</mi>
<mrow>
<mi>i</mi>
</mrow>
</msub>
</mrow>
</mrow>
</mrow></math><img style="height:0.531cm;width:3.15cm;" alt="" src="data:image/*;base64,VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAAU8MAAATAgAAXAAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAAE4MAAASAgAAlQABAAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAQQAAAAMAOwAAAA8AVGltZXMgTmV3IFJvbWFuAAAAAAAApgEAAAAAAwAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAH8AAAB9AQAAAQBT0wAAAAAA//8BAFMAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAAAAAAACmAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAfQEAAH0BAAABAAAAPQBPAQAAAAD//wEAPQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAQQAAAAMAOwAAAA8AVGltZXMgTmV3IFJvbWFuAAAAAAAApgEAAAAAAwAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAOUCAAB9AQAAAQBT0wAAAAAA//8BAFMAjAABAAAAAACLAAEAAgAAAB8AigABAEEAAAADADsAAAAPAFRpbWVzIE5ldyBSb21hbgAAAAAAAP0AAAAAAAMAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAADjAwAA0gEAAAEAMX8AAAAAAP//AQAxAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApgEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAHcEAAB9AQAAAQAAACsA9gAAAAAA//8BACsAjAABAAAAAACLAAEAAgAAAB8AigABAEEAAAADADsAAAAPAFRpbWVzIE5ldyBSb21hbgAAAAAAAKYBAAAAAAMAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAACKBQAAfQEAAAEAU9MAAAAAAP//AQBTAIwAAQAAAAAAiwABAAIAAAAfAIoAAQBBAAAAAwA7AAAADwBUaW1lcyBOZXcgUm9tYW4AAAAAAAD9AAAAAAADAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAiAYAANIBAAABADJ/AAAAAAD//wEAMgCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAAAAAAAKYBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAAcBwAAfQEAAAEAAAArAPYAAAAAAP//AQArAIwAAQAAAAAAiwABAAIAAAAfAIoAAQBBAAAAAwA7AAAADwBUaW1lcyBOZXcgUm9tYW4AAAAAAACmAQAAAAADAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAdAAAAMAgAAH0BAAADAC4uLj0BAAAAAP//AwAuAC4ALgCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAAAAAAAKYBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAACCCQAAfQEAAAEAAAArAPYAAAAAAP//AQArAIwAAQAAAAAAiwABAAIAAAAfAIoAAQBBAAAAAwA7AAAADwBUaW1lcyBOZXcgUm9tYW4AAAAAAACmAQAAAAADAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAqwoAAH0BAAABAFPTAAAAAAD//wEAUwCMAAEAAAAAAIsAAQACAAAAHwCKAAEAQQAAAAMAOwAAAA8AVGltZXMgTmV3IFJvbWFuAAAAAAAA/QAAAAAAAwAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAJMLAADSAQAAAQBpRgAAAAAA//8BAGkAjAABAAAAAACVAAEABAAAAAAAAACWAAEAAgAAAAkAjAABAAAAAAA="/></span><!--Next 'div' added for floating.--><div style="position:relative; left:-1.154cm;">alors on a :</div></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><!--Next 'div' was a 'text:p'.--><div class="P11"><!--Next '
span' is a draw:frame.
--><span style="height:1.208cm;width:8.006cm; padding:0; " class="fr2" id="Objet10"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mrow>
<mover accent="true">
<mrow>
<mi mathvariant="italic">OG</mi>
</mrow>
<mo stretchy="false">⃗</mo>
</mover>
<mo stretchy="false">=</mo>
<mfrac>
<mrow>
<mn>1</mn>
</mrow>
<mrow>
<mrow>
<mo stretchy="false">∑</mo>
<msub>
<mi>m</mi>
<mrow>
<mi>i</mi>
</mrow>
</msub>
</mrow>
</mrow>
</mfrac>
</mrow>
<mrow>
<munderover>
<mo stretchy="false">∑</mo>
<mrow>
<mrow>
<mi>i</mi>
<mo stretchy="false">=</mo>
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</mrow>
<mrow>
<mi>n</mi>
</mrow>
</munderover>
<mrow>
<munder>
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<mrow>
<msub>
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<mrow>
<mi>i</mi>
</mrow>
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</mrow>
</munder>
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<mi mathvariant="italic">OM</mi>
</mrow>
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</mover>
</mrow>
</mrow>
<mi>.</mi>
<mrow>
<mi mathvariant="italic">dm</mi>
<mo stretchy="false">=</mo>
<mfrac>
<mrow>
<mn>1</mn>
</mrow>
<mrow>
<mrow>
<mo stretchy="false">∑</mo>
<msub>
<mi>m</mi>
<mrow>
<mi>i</mi>
</mrow>
</msub>
</mrow>
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</mfrac>
</mrow>
<mrow>
<munderover>
<mo stretchy="false">∑</mo>
<mrow>
<mrow>
<mi>i</mi>
<mo stretchy="false">=</mo>
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</mrow>
</mrow>
<mrow>
<mi>n</mi>
</mrow>
</munderover>
<msub>
<mi>m</mi>
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<mi>i</mi>
</mrow>
</msub>
</mrow>
<mi>.</mi>
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<mrow>
<msub>
<mi mathvariant="italic">OG</mi>
<mrow>
<mi>i</mi>
</mrow>
</msub>
</mrow>
<mo stretchy="false">⃗</mo>
</mover>
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style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><h2 class="P44"><a id="a__Moment_d'inertie___barre___disque___cercle"><span/></a><span class="T1">M</span>oment d'inertie : barre / disque / cercle</h2><div class="P14"><span class="T6">Soit un solide infinitésimal dS assimilé à un point M de masse dm et soit N le projeté orthogonal de M sur la droite </span><span class="T7">Δ</span> <span class="T6">alors le moment d'inertie de M s'écrit :</span><!--Next '
span' is a draw:frame.
--><span style="height:0.917cm;width:3.043cm; padding:0; " class="fr2" id="Objet11"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi>Δ</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<munder>
<mo stretchy="false">∫</mo>
<mrow>
<mi>S</mi>
</mrow>
</munder>
<mrow>
<mo stretchy="false">(</mo>
<mrow>
<mi mathvariant="italic">NM</mi>
</mrow>
<mo stretchy="false">)</mo>
</mrow>
</mrow>
</mrow>
<mi mathvariant="italic">²dm</mi>
</mrow></math><img style="height:0.917cm;width:3.043cm;" alt="" src="data:image/*;base64,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"/></span></div><p class="P16"><span class="T6">homogénéité : masse </span><span class="T9">× </span><span class="T8">distance²<br/></span></p><p class="P15">Soit G le centre de masse de M et soit un repère (O,x,y,z), on a :</p><!--Next 'div' was a 'text:p'.--><div class="P15"><!--Next '
span' is a draw:frame.
--><span style="height:2.79cm;width:3.388cm; padding:0; " class="fr2" id="Objet12"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable>
<mtr>
<mtd>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Gz</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<munder>
<mo stretchy="false">∫</mo>
<mrow>
<mi>S</mi>
</mrow>
</munder>
<mrow>
<mo stretchy="false">(</mo>
<mrow>
<mrow>
<mi mathvariant="italic">x²</mi>
<mo stretchy="false">+</mo>
<mi mathvariant="italic">y²</mi>
</mrow>
</mrow>
<mo stretchy="false">)</mo>
</mrow>
</mrow>
</mrow>
<mi mathvariant="italic">dm</mi>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Gx</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<munder>
<mo stretchy="false">∫</mo>
<mrow>
<mi>S</mi>
</mrow>
</munder>
<mrow>
<mo stretchy="false">(</mo>
<mrow>
<mrow>
<mi mathvariant="italic">y²</mi>
<mo stretchy="false">+</mo>
<mi mathvariant="italic">z²</mi>
</mrow>
</mrow>
<mo stretchy="false">)</mo>
</mrow>
</mrow>
</mrow>
<mi mathvariant="italic">dm</mi>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Gy</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<munder>
<mo stretchy="false">∫</mo>
<mrow>
<mi>S</mi>
</mrow>
</munder>
<mrow>
<mo stretchy="false">(</mo>
<mrow>
<mrow>
<mi mathvariant="italic">x²</mi>
<mo stretchy="false">+</mo>
<mi mathvariant="italic">z²</mi>
</mrow>
</mrow>
<mo stretchy="false">)</mo>
</mrow>
</mrow>
</mrow>
<mi mathvariant="italic">dm</mi>
</mrow>
</mtd>
</mtr>
</mtable></math><img style="height:2.79cm;width:3.388cm;" alt="" 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style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><p class="P6">Cas d'une barre :<br/><span class="T3">Soit une barre de masse m et de longueur l, </span><span class="T4">orientée selon l'axe (Ox), </span><span class="T3">on a :</span></p><div class="P6"><span class="T5">D'après les formules ci-dessus :</span><!--Next '
span' is a draw:frame.
--><span style="height:0.637cm;width:3.9cm; padding:0; " class="fr2" id="Objet13"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Ox</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<mo stretchy="false">∫</mo>
<mrow>
<mo stretchy="false">(</mo>
<mrow>
<mrow>
<mn>0²</mn>
<mo stretchy="false">+</mo>
<mn>0²</mn>
</mrow>
</mrow>
<mo stretchy="false">)</mo>
</mrow>
</mrow>
</mrow>
<mrow>
<mi mathvariant="italic">dm</mi>
<mo stretchy="false">=</mo>
<mn>0</mn>
</mrow>
</mrow></math><img style="height:0.637cm;width:3.9cm;" alt="" src="data:image/*;base64,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"/></span></div><!--Next 'div' was a 'text:p'.--><div class="P12"><!--Next '
span' is a draw:frame.
--><span style="height:0.998cm;width:4.232cm; padding:0; " class="fr2" id="Objet14"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mrow>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Oy</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Oz</mi>
</mrow>
</msub>
</mrow>
<mo stretchy="false">=</mo>
<mrow>
<mo stretchy="false">∫</mo>
<mi mathvariant="italic">x²dm</mi>
</mrow>
</mrow>
<mo stretchy="false">=</mo>
<mfrac>
<mrow>
<mi mathvariant="italic">ml²</mi>
</mrow>
<mrow>
<mn>3</mn>
</mrow>
</mfrac>
</mrow>
</mrow></math><img style="height:0.998cm;width:4.232cm;" alt="" src="data:image/*;base64,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"/></span></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><p class="P7">Cas d'un cercle :</p><p class="P13">Soit un cercle de rayon R, de masse m et de centre de masse G, on a :</p><!--Next 'div' was a 'text:p'.--><div class="P13"><!--Next '
span' is a draw:frame.
--><span style="height:1.549cm;width:2.872cm; padding:0; " class="fr2" id="Objet15"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable>
<mtr>
<mtd>
<mrow>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Gx</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Gy</mi>
</mrow>
</msub>
</mrow>
<mo stretchy="false">=</mo>
<mi>m</mi>
</mrow>
<mfrac>
<mrow>
<mi mathvariant="italic">R²</mi>
</mrow>
<mrow>
<mn>2</mn>
</mrow>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Gz</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mi mathvariant="italic">mR²</mi>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable></math><img style="height:1.549cm;width:2.872cm;" alt="" src="data:image/*;base64,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"/></span></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><p class="P13">Cas d'un disque :</p><p class="P13">Soit un disque de rayon R, de masse m et de centre de masse G, on a :</p><!--Next 'div' was a 'text:p'.--><div class="P13"><!--Next '
span' is a draw:frame.
--><span style="height:2.016cm;width:2.872cm; padding:0; " class="fr2" id="Objet16"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable>
<mtr>
<mtd>
<mrow>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Gx</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Gy</mi>
</mrow>
</msub>
</mrow>
<mo stretchy="false">=</mo>
<mi>m</mi>
</mrow>
<mfrac>
<mrow>
<mi mathvariant="italic">R²</mi>
</mrow>
<mrow>
<mn>4</mn>
</mrow>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Gz</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mi>m</mi>
</mrow>
<mfrac>
<mrow>
<mi mathvariant="italic">R²</mi>
</mrow>
<mrow>
<mn>2</mn>
</mrow>
</mfrac>
</mrow>
</mtd>
</mtr>
</mtable></math><img style="height:2.016cm;width:2.872cm;" alt="" src="data:image/*;base64,VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAATcLAADgBwAAgwAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAADYLAADfBwAAlQABAAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAQQAAAAMAOwAAAA8AVGltZXMgTmV3IFJvbWFuAAAAAAAApgEAAAAAAwAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAH8AAABmAgAAAQBJjQAAAAAA//8BAEkAjAABAAAAAACLAAEAAgAAAB8AigABAEEAAAADADsAAAAPAFRpbWVzIE5ldyBSb21hbgAAAAAAAP0AAAAAAAMAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAA+AQAA0AIAAAIAR3gnAQAAAAD//wIARwB4AIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApgEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAHsCAABmAgAAAQAAAD0ATwEAAAAA//8BAD0AjAABAAAAAACLAAEAAgAAAB8AigABAEEAAAADADsAAAAPAFRpbWVzIE5ldyBSb21hbgAAAAAAAKYBAAAAAAMAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAAD4AwAAZgIAAAEASY0AAAAAAP//AQBJAIwAAQAAAAAAiwABAAIAAAAfAIoAAQBBAAAAAwA7AAAADwBUaW1lcyBOZXcgUm9tYW4AAAAAAAD9AAAAAAADAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAtwQAANACAAACAEd5JwEAAAAA//8CAEcAeQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAAAAAAAKYBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAD0BQAAZgIAAAEAAAA9AE8BAAAAAP//AQA9AIwAAQAAAAAAiwABAAIAAAAfAIoAAQBBAAAAAwA7AAAADwBUaW1lcyBOZXcgUm9tYW4AAAAAAACmAQAAAAADAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAXAcAAGYCAAABAG0xAQAAAAD//wEAbQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAQQAAAAMAOwAAAA8AVGltZXMgTmV3IFJvbWFuAAAAAAAApgEAAAAAAwAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAAMJAAB9AQAAAgBSsoABAAAAAP//AgBSALIAjAABAAAAAACLAAEAAgAAAB8AhQABAAUAAAAAAAAAAYQAAQAFAAAAAAAAAACKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAAAAAAAKYBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAZwABABAAAADZCAAA5wEAAMUKAAD7AQAAjAABAAAAAACLAAEAAgAAAB8AigABAEEAAAADADsAAAAPAFRpbWVzIE5ldyBSb21hbgAAAAAAAKYBAAAAAAMAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAABYCQAAjgMAAAEANNMAAAAAAP//AQA0AIwAAQAAAAAAiwABAAIAAAAfAIoAAQBBAAAAAwA7AAAADwBUaW1lcyBOZXcgUm9tYW4AAAAAAACmAQAAAAADAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAPAIAAF4GAAABAEmNAAAAAAD//wEASQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAQQAAAAMAOwAAAA8AVGltZXMgTmV3IFJvbWFuAAAAAAAA/QAAAAAAAwAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAA8DAADIBgAAAgBHehkBAAAAAP//AgBHAHoAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAAAAAAACmAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAOAQAAF4GAAABAAAAPQBPAQAAAAD//wEAPQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAQQAAAAMAOwAAAA8AVGltZXMgTmV3IFJvbWFuAAAAAAAApgEAAAAAAwAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAJ8FAABeBgAAAQBtMQEAAAAA//8BAG0AjAABAAAAAACLAAEAAgAAAB8AigABAEEAAAADADsAAAAPAFRpbWVzIE5ldyBSb21hbgAAAAAAAKYBAAAAAAMAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAABHBwAAdQUAAAIAUrKAAQAAAAD//wIAUgCyAIwAAQAAAAAAiwABAAIAAAAfAIUAAQAFAAAAAAAAAAGEAAEABQAAAAAAAAAAigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAAAAAAACmAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAGcAAQAQAAAABwcAAN8FAADzCAAA8wUAAIwAAQAAAAAAiwABAAIAAAAfAIoAAQBBAAAAAwA7AAAADwBUaW1lcyBOZXcgUm9tYW4AAAAAAACmAQAAAAADAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAmwcAAIYHAAABADLTAAAAAAD//wEAMgCMAAEAAAAAAJUAAQAEAAAAAAAAAJYAAQACAAAACQCMAAEAAAAAAA=="/></span></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><h2 class="Heading_20_2"><a id="a__Calcul_du_moment_d'inertie_d'un_cône_plein_régulier"><span/></a><span class="T1">C</span>alcul du moment d'inertie d'un cône <span class="T10">plein régulier</span></h2><!--Next 'div' was a 'text:p'.--><div class="P34"><!--Next 'div' is emulating the top hight of a draw:frame.--><div style="height:0.03cm;"> </div><!--Next '
div' is a draw:frame.
--><div style="height:6.477cm;width:8.636cm; padding:0; float:left; position:relative; left:0.131cm; " class="fr1" id="images1"><img style="height:6.477cm;width:8.636cm;" alt="" 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"/></div><!--Next 'div' added for floating.--><div style="position:relative; left:0.131cm;">La tranche de cône a une <span class="T11">épaisseur</span> dz, un rayon variable r, un volume dV et une masse dm.</div></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><!--Next 'div' was a 'text:p'.--><div class="P34"><!--Next '
span' is a draw:frame.
--><span style="height:0.998cm;width:2.261cm; padding:0; " class="fr2" id="Objet18"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mrow>
<msub>
<mi mathvariant="italic">dI</mi>
<mrow>
<mi mathvariant="italic">Oz</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mfrac>
<mrow>
<mi mathvariant="italic">dm</mi>
<mi mathvariant="italic">r²</mi>
</mrow>
<mrow>
<mn>2</mn>
</mrow>
</mfrac>
</mrow>
</mrow></math><img style="height:0.998cm;width:2.261cm;" alt="" src="data:image/*;base64,VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAAdYIAADmAwAAOwAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAANUIAADlAwAAlQABAAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAQQAAAAMAOwAAAA8AVGltZXMgTmV3IFJvbWFuAAAAAAAApgEAAAAAAwAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAGoAAABmAgAAAgBkSWABAAAAAP//AgBkAEkAjAABAAAAAACLAAEAAgAAAB8AigABAEEAAAADADsAAAAPAFRpbWVzIE5ldyBSb21hbgAAAAAAAP0AAAAAAAMAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAD8AQAA0AIAAAIAT3oZAQAAAAD//wIATwB6AIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApgEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAADoDAABmAgAAAQAAAD0ATwEAAAAA//8BAD0AjAABAAAAAACLAAEAAgAAAB8AigABAEEAAAADADsAAAAPAFRpbWVzIE5ldyBSb21hbgAAAAAAAKYBAAAAAAMAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAADMBAAAfQEAAAIAZG0EAgAAAAD//wIAZABtAIwAAQAAAAAAiwABAAIAAAAfAIoAAQBBAAAAAwA7AAAADwBUaW1lcyBOZXcgUm9tYW4AAAAAAACmAQAAAAADAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAABwcAAH0BAAACAHKyIgEAAAAA//8CAHIAsgCMAAEAAAAAAIsAAQACAAAAHwCFAAEABQAAAAAAAAABhAABAAUAAAAAAAAAAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApgEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAABnAAEAEAAAAKEEAADnAQAAXAgAAPsBAACMAAEAAAAAAIsAAQACAAAAHwCKAAEAQQAAAAMAOwAAAA8AVGltZXMgTmV3IFJvbWFuAAAAAAAApgEAAAAAAwAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAB4GAACOAwAAAQAy0wAAAAAA//8BADIAjAABAAAAAACVAAEABAAAAAAAAACWAAEAAgAAAAkAjAABAAAAAAA="/></span><!--Next 'div' added for floating.--><div style="position:relative; left:0cm;"><span class="T12">donc</span><!--Next '
span' is a draw:frame.
--><span style="height:1.244cm;width:3.872cm; padding:0; " class="fr2" id="Objet19"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mi mathvariant="italic">Oz</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<munder>
<mo stretchy="false">∫</mo>
<mrow>
<mi>V</mi>
</mrow>
</munder>
<msub>
<mi mathvariant="italic">dI</mi>
<mrow>
<mi mathvariant="italic">Oz</mi>
</mrow>
</msub>
</mrow>
</mrow>
<mo stretchy="false">=</mo>
<mfrac>
<mrow>
<mo stretchy="false">∫</mo>
<mrow>
<mi mathvariant="italic">dm</mi>
<mi mathvariant="italic">r²</mi>
</mrow>
</mrow>
<mrow>
<mn>2</mn>
</mrow>
</mfrac>
</mrow>
</mrow></math><img style="height:1.244cm;width:3.872cm;" alt="" src="data:image/*;base64,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"/></span></div></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><!--Next 'div' was a 'text:p'.--><div class="P35">de plus <!--Next '
span' is a draw:frame.
--><span style="height:0.467cm;width:3.679cm; padding:0; " class="fr2" id="Objet20"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mrow>
<mi mathvariant="italic">dm</mi>
<mo stretchy="false">=</mo>
<mi>ρ</mi>
</mrow>
<mrow>
<mi mathvariant="italic">dV</mi>
<mo stretchy="false">=</mo>
<mi>ρ</mi>
</mrow>
<mi>π</mi>
<mi mathvariant="italic">r²</mi>
<mi mathvariant="italic">dz</mi>
</mrow></math><img style="height:0.467cm;width:3.679cm;" alt="" src="data:image/*;base64,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"/></span></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><p class="P35">et d'après le théorème de Thalès :</p><!--Next 'div' was a 'text:p'.--><div class="P35"><!--Next '
span' is a draw:frame.
--><span style="height:0.998cm;width:6.318cm; padding:0; " class="fr2" id="Objet21"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mrow>
<mfrac>
<mrow>
<mi>z</mi>
</mrow>
<mrow>
<mi>h</mi>
</mrow>
</mfrac>
<mo stretchy="false">=</mo>
<mfrac>
<mrow>
<mi>r</mi>
</mrow>
<mrow>
<mi>a</mi>
</mrow>
</mfrac>
</mrow>
<mo stretchy="false">⇒</mo>
<mrow>
<mi>z</mi>
<mo stretchy="false">=</mo>
<mfrac>
<mrow>
<mi>h</mi>
</mrow>
<mrow>
<mi>a</mi>
</mrow>
</mfrac>
</mrow>
<mi>r</mi>
<mo stretchy="false">⇒</mo>
<mrow>
<mfrac>
<mrow>
<mi mathvariant="italic">dz</mi>
</mrow>
<mrow>
<mi mathvariant="italic">dr</mi>
</mrow>
</mfrac>
<mo stretchy="false">=</mo>
<mfrac>
<mrow>
<mi>h</mi>
</mrow>
<mrow>
<mi>a</mi>
</mrow>
</mfrac>
</mrow>
<mo stretchy="false">⇒</mo>
<mrow>
<mi mathvariant="italic">dz</mi>
<mo stretchy="false">=</mo>
<mfrac>
<mrow>
<mi>h</mi>
</mrow>
<mrow>
<mi>a</mi>
</mrow>
</mfrac>
</mrow>
<mi mathvariant="italic">dr</mi>
</mrow></math><img style="height:0.998cm;width:6.318cm;" alt="" 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style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div><!--Next 'div' was a 'text:p'.--><div class="P36"><!--Next '
span' is a draw:frame.
--><span style="height:1.238cm;width:7.793cm; padding:0; " class="fr2" id="Objet22"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow>
<mi>I</mi>
<mrow>
<mrow>
<mi mathvariant="italic">Oz</mi>
</mrow>
<mo stretchy="false">=</mo>
<mrow>
<munderover>
<mo stretchy="false">∫</mo>
<mrow>
<mn>0</mn>
</mrow>
<mrow>
<mi>a</mi>
</mrow>
</munderover>
<mi>ρ</mi>
</mrow>
</mrow>
<mi>π</mi>
<mi mathvariant="italic">r²</mi>
<mfrac>
<mrow>
<mi>h</mi>
</mrow>
<mrow>
<mi>a</mi>