Rotational Motion Question 124

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

Options:

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

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Let M and R be the mass and radius respectively.

Moment of inertia of a ring about any of its diameter is Iring =12MR2

Moment of inertia of a disc about any of its diameter is Idisc =14MR2

Moment of inertia of a hollow sphere about any of its diameter is Ihollow sphere =23MR2

Moment of inertia of a solid sphere about any of its diameter is Isolid sphere =25MR2

Thus. Ihollow sphere  is largest.



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