Given a uniform disc of mass \( M \) and radius \( R \). A small disc of radius \( R / 2 \) is c...

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Given a uniform disc of mass \( M \) and radius \( R \). A small disc of radius \( R / 2 \) is cut from this disc in such a way that the distance between the centres of the two discs is \( R / 2 \). Find the moment of inertia of the remaining disc about a diameter of the original disc perpendicular to the line connecting the centres of the two discs
(1) \( 3 M R^{2} / 32 \)
(2) \( 5 M R^{2} / 16 \)
(3) \( 11 M R^{2} / 64 \)
(4) none of these
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