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Q.

Figure shows a hemisphere of radius 4R. A ball of radius R is released from position P. It rolls without slipping along the inner surface of the hemisphere. Linear speed of its centre of mass when the ball is at position Q, is:

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a

30gR7

b

24gR5

c

40gR9

d

6gR

answer is A.

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Detailed Solution

From COME, mg(4R−R)=12mv21+25⇒3mgR=710mv2⇒v=30gR7

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Figure shows a hemisphere of radius 4R. A ball of radius R is released from position P. It rolls without slipping along the inner surface of the hemisphere. Linear speed of its centre of mass when the ball is at position Q, is: