Rotational Motion Question 202

Question: Consider a thin uniform square sheet made of a rigid material. If its side is ?a? mass m and moment of inertia I about one of its diagonals, then

Options:

A) $I>\frac{ma^{2}}{12}$

B) $\frac{ma^{2}}{24}<I<\frac{ma^{2}}{12}$

C) $I=\frac{ma^{2}}{24}$

D) $I=\frac{ma^{2}}{12}$

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Answer:

Correct Answer: D

Solution:

[d] For a thin uniform square sheet

$I _{1}=I _{2}=I _{3}=\frac{ma^{2}}{12}$



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