Two small particles each of mass $ m $ are attached at the two ends of a semicircular ring of same mass as shown. $ R $ is radius of ring and $ O $ is the centre of the ring. Moment of inertia about an axis passing through $ O $ and normal to its plane is

Question

Two small particles each of mass $ m $ are attached at the two ends of a semicircular ring of same mass as shown. $ R $ is radius of ring and $ O $ is the centre of the ring. Moment of inertia about an axis passing through $ O $ and normal to its plane is, $ 3 m R^{2} $, $ \frac{3 m R^{2}}{2} $, $ 2 m R^{2} $, $ \frac{m R^{2}}{2} $

MARKS App · Accepted Answer

Here ring is half but its mass is m so its moment of inertia will me mR 2 I = m R 2 + m R 2 + m R 2 I n e t = m R 2 + 2 m R 2 I = 3 m R 2

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