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A solid sphere with a velocity (of centr...

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

A

must be forward (in direction of `v`)

B

must be backward (opposite to `v`)

C

cannot be zero

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
D
Case I
(i) If `R omega gt v` than point of contact slides backward and friction direction.

`v_(P) = v - R omega`
(ii) If `v gt R omega` than point contact slides forward and friction will act in backward direction
`v_(P) = v - R omega`
(iii) If `v = R omega, f = 0, v_(P) = 0`
Case II
so friction willm act in backward direction.
.
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