如何证明匀质球体对外部质点的引力等效于质心与质点的引力？ 知乎 Sketch Coloring Page

如何证明匀质球体对外部质点的引力等效于质心与质点的引力？ 知乎 Template

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sketch #3575 Stitch by Laura Gutierrez Hinojosa

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sketch #3575 Stitch by Laura Gutierrez Hinojosa

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sketch #3429 Another try of Miku xD

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sketch #4724 Turtwig by Mark Robson

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sketch #1114 fire flame camping bonfire

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sketch #1114 fire flame camping bonfire

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sketch #4493 Jimi Hendrix by Alex Stoun

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sketch #2608 Beauty and the Beast by sketchmaster

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sketch #2608 Beauty and the Beast by sketchmaster

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sketch #1226 the man

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sketch #1226 the man

sketch #5191 The View by Vicente Vera

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sketch #5191 The View by Vicente Vera

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sketch #5069 Mad Hatter by Ahmed Mostafa

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sketch #4749 Random Girl by Adellachamp Stand

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tomski如何证明匀质球体对外部质点的引力等效于质心与质点的引力？ 知乎 coloring

如何证明匀质球体对外部质点的引力等效于质心与质点的引力？ 知乎 sketch template

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理论上已经证明质量分布均匀的球壳对壳内物体的万有引力为零现假设地球是一半径为R质量分布均匀的实心球体O为球心以O为原点建立坐标轴Ox sketch template

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$质量为M半径为R的质量分布均匀的球体在正中央挖去半径为$frac{R}{4}$的小球后剩余的部分为阴影区域如图所示．质量为m的质点P sketch template$

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