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Q.

The moment of inertia of a thin uniform rectangular plate of mass m having length a and width b about an axis perpendicular to the plane of the plate and passing through one of its vertices is

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a

$\frac{1}{3} m a b$

b

$\frac{2}{3} m (a^{2} + b^{2})$

c

$\frac{1}{3} m (a^{2} + b^{2})$

d

$\frac{2}{3} m a b$

answer is D.

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Detailed Solution

$I = \frac{m a^{2}}{3} + \frac{m b^{2}}{3}$

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