Consider a thin uniform square sheet made of a rigid material. If its side is a , mass m and moment of…

1. $I=\frac{m{a}^2}{24}$
2. $\frac{m{a}^2}{24}<I<\frac{m{a}^2}{12}$
3. $I>\frac{m{a}^2}{12}$
4. $I=\frac{m{a}^2}{12}$

Solution

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.

$\therefore I_{diagonal}$$=\frac{m{a}^2}{12}$

Asked in: JEE Main 2015 (10 Apr Online)

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