A square plate of edge \( a / 2 \) is cut out from a uniform square...

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A square plate of edge \( a / 2 \) is cut out from a uniform square plate of edge ' \( a \) ' as shown in figure. The mass of the remaining portion is M. The moment of inertia of the shaded portion about an axis passing through 'O' (center of the square of side a) and perpendicular to plane of the plate is:
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