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A sphere of radius R is rolling on a rou...

A sphere of radius R is rolling on a rough horizontal surface. The magnitude of velocity of A with respect to ground will be

A

`sqrt(2)v_(CM)`

B

2`V_(CM)sintheta`

C

`sqrt(2)v_(CM)sqrt(1+sintheta)`

D

No sufficient information

Text Solution

Verified by Experts

c) Here `v_(CM) = Romega`
`The resultant velocity of point A is
`v_(A) = sqrt(v_(CM)^(2) + (Romega)^(2) + 2v_(CM)(Romega)cos(90-theta))`
`=sqrt(v_(CM)^(2) + v_(CM)^(2) + 2v_(CM)^(2)sintheta)`
`sqrt(2)v_(CM)sqrt(1+sintheta))`
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