Let I be the moment of inertia of a uniform s | vedclass

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(A) For a uniform square plate,let the sides be parallel to the $x$ and $y$ axes. The moment of inertia about an axis passing through the centre and p

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$I$

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(A) For a uniform square plate,let the sides be parallel to the $x$ and $y$ axes. The moment of inertia about an axis passing through the centre and parallel to the sides is $I_x = I_y = I = \frac{1}{12} M a^2$.Since the square plate is symmetric about any axis passing through its centre in its plane,the moment of inertia about any axis passing through the centre and lying in the plane of the plate is the same.Specifically,for a square plate,the moment of inertia about any axis passing through the centre and lying in the plane of the plate is independent of the angle $	heta$ it makes with the sides.Therefore,the moment of inertia about the axis $CD$ is also $I$.

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