Q. 13

A sphere can roll on a surface inclined at an angle θ if the friction coefficient is more than Suppose the friction coefficient is If a sphere is released from rest on the incline,
A. it will stay at rest

B. it will make pure translational motion

C. it will translate and rotate about the centre

D. the angular momentum of the sphere about its centre will remain constant

Answer :

Given that the friction coefficient is



For rolling, the friction coefficient is which is



Which is more than the co-efficient of friction.


So it will translate and rotate about the center.

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