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Consider a solid sphere and a solid disk with the same radius and the same mass....

Consider a solid sphere and a solid disk with the same radius and the same mass. Explain why the solid disk has a greater moment of inertia than the solid sphere, even though it has the same overall mass and radius.

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Answer #1

Moment of Inertia of the Solid sphere about its geometrical axes

Moment of inertia of solid Disk about a central axes

Here MD = MS = M and RD = RS = R

..............................(1)

Multiplying and Dividing equation 1 by 2 we get




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