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A sphere of radius R is in contact with ...

A sphere of radius `R` is in contact with a wedge. The point of contact is `( R)/(5)` from the ground as shown in figure.Wedge is moving with velocity `20 m s^(-1)` towards left then the velocity of the sphere at this instant will be

A

`20m//s`

B

`15m//s`

C

`5m//s`

D

`10m//s`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `v` be velocity of sphere
`sin theta =(4)/(5), cos theta=(3)/(5)`

From wedge constraint `,`
`V=20cot theta`
`V=20xx(3)/(4)=2.5m//s.`
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