Special Cases for Gravity Force Inside Solid Objects

[dougettinger]

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I know about the shell theorem and that the force of gravity due to the mass of the spherical shell is zero inside. I have some questions that may easily be answered for other special cases using the shell theorem and the law of gravity.

1. Does this same conclusion hold for an ellipsoid and/or a disk with the shell on the exterior perimeter ?

2. How is the gravity force inside a spherical solid affected if it has two layers and a central core all with different but homogeneous densities ? Especially inside the middle layer that has the least density and least mass ?

Thoughtfully, Doug Ettinger

 

[Doc Al]

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