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