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Question

A solid sphere of radius r is released (from rest) from the top inner edge (position P in fig.) of a hemispherical bowl. If the surfaces of the sphere and the bowl are rough and the sphere rolls down without slipping, what will be the angular velocity of the sphere about the centre O of the hemispherical bowl when the sphere reaches the bottom B of the bowl?

A

[2g(R - r)]^1/2

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B

[10g/ 7(R - r)]^1/2

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C

[10g(R - r)/ 7]^1/2

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D

[2g/(R - r)]^1/2

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Solution

The correct option is B
[10g/ 7(R - r)]^1/2

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