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In the given figure, the spheres rolls w...

In the given figure, the spheres rolls without slipping on the plank which is moving with constant velocity `v_(0)`. The radius and angualr velocity of the sphere is r and `omega`, respectively. The velocity of center fo mass of the sphere is

A

`v_(0) + romega`

B

`V_(0)-romega`

C

`romega`

D

`v_(0)`

Text Solution

Verified by Experts

a) For pure rolling motion of sphere, relative motioin of point of contact of sphere and plank should be zero. For this, the point of contact has a velocity equal to the velocity of plank.
`therefore` `v_(0) = v_(CM) - romega`
`therefore` `v_(CM) = v_(0) + romega`
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