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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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

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如图所示在距一质量为m0半径为R密度均匀的大球体R处有一质量为m的质点此时大球体对质点的万有引力为F1当从大球体中挖去一半径为 sketch template

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如图所示有一个质量为M半径为R密度均匀的大球体从中挖去一个半径为R／2的小球体并在空腔中心放置一质量为m的质点则大球体的剩余部分对 sketch template

如下列图一个质量均匀分布半径为R的球体对球外质点P的万有引力为F如果在球体中央挖去半径为r的球体且r=如此原球体剩余局部对质点P的万有 sketch template

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质心参考系及其应用 知乎 sketch template

如图所示有一个质量为M半径为R密度均匀的大球体从中挖去一个半径为R／2的小球体并在空腔中心放置一质量为m的质点则大球体的剩余部分对 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}$的小球后剩余的部分为阴影区域如图所示．质量为m的质点P sketch template$

$如图所示一个质量均匀分布的半径为R的球体对球外质点P的万有引力为F．如果在球体中央挖去半径为r的一部分球体且r=$frac{R}{2 sketch template$

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