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Questions  

Which of the following has the highest moment of inertia when each of them has the same mass and the same radius?

a
A ring about any of its diameter
b
A disc about any of its diameter.
c
A hollow sphere about any of its diameter.
d
A solid sphere about any of its diameter.

detailed solution

Correct option is C

Let M and R be the mass and radius respectively. Moment of inertia of a ring about any of its diameter isIring = 12MR2Moment of inertia of a disc about any of its diameter isIdisc = 14MR2Moment of inertia of a hollow sphere about any of its diameter isIhollow sphere = 23MR2Moment of inertia of a solid sphere about any of its diameter isIsolid sphere = 25MR2Thus, Ihollow sphere is largest.

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