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

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(A) For a uniform square plate,the moment of inertia about any axis passing through its centre and lying in its plane is the same.Let $I_{AB}$ be the

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$l$

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(A) For a uniform square plate,the moment of inertia about any axis passing through its centre and lying in its plane is the same.Let $I_{AB}$ be the moment of inertia about axis $AB$. Given $I_{AB} = l$.Since the square plate is symmetric about any axis passing through its centre and lying in its plane,the moment of inertia about any such axis is constant.Specifically,for a square plate of side $a$ and mass $M$,the moment of inertia about an axis passing through the centre and parallel to a side is $I = \frac{Ma^2}{12}$.Since this value is independent of the orientation of the axis within the plane of the square,the moment of inertia about any axis $CD$ passing through the centre in the plane of the plate is also $l$.

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