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A ring of mass m having velocity v(0) is...

A ring of mass m having velocity `v_(0)` is placed on a long plank lies on smooth horizontal surface at time t=0 as shown. Find the time when the ring start pure rolling on the plank. [`mu` is coefficient of friction between the ring and the plank.]

A

`(v_(0))/(mug)`

B

`(v_(0))/(4mug)`

C

`(v_(0))/(3mug)`

D

`(2v_(0))/(5mug)`

Text Solution

Verified by Experts

`v-omegaR=v`
`[v_(0)-((mumg)/(m))r]-(mumgxxR)/((mR^(2)))xxtxxR`
`=(mumg)/(m)xxt`
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