Question 89 of 280

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:

A$I=\dfrac{m{a}^{2}}{24}$B$\dfrac{m{a}^{2}}{24}\lt I\lt \dfrac{m{a}^{2}}{12}$C$I\gt \dfrac{m{a}^{2}}{12}$D$I=\dfrac{m{a}^{2}}{12}$

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Answer: (D) $I=\dfrac{m{a}^{2}}{12}$

In a uniform square plate due to symmetry moment of Inertia about all the axis passing through centre and lying in the plane of the plate is same.

$∴{I}_{diagonal}$$=\dfrac{m{a}^{2}}{12}$

JEE Main Physics practice question on Rotational Motion (Moment of inertia of rigid bodies), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.