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Question

A semicircular disc of mass M and radius R shown in figure OA is initially vertical. Disc is released from this position when OA becomes horizontal, then angular velocity of disc is
1260057_b6b52d60072242669870b1f71e9ba0df.jpg

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Solution

wall=ΔK
mg(R4R2π)=12(hing)w2mgR(143π)=12×3mR22w24g3R(143π)=w2Hence,w=4g3R(143π)

1213405_1260057_ans_a3fa501f32f04c8f8858848b2e9f0cb5.JPG

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