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Question

A solid sphere with a velocity (of centre of mass) v and angular velocity ω is gently placed on a rough horizontal surface. The frictional force on the sphere :

A
must be forward (in direction of v)
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B
must be backward (opposite to v)
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C
cannot be zero
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D
none of the above
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Solution

The correct option is D none of the above
The sphere has a constant velocity and angular velocity, thus when it is placed on the surface no frictional force would act on it as there is no angular acceleration. Without any acceleration there is no force involved and thus frictional force would be absent.

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