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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

`20 ms^(-1)`

B

`15 ms^(-1)`

C

`16 ms^(-1)`

D

`12 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`cos theta = (4R//5)/(R ) = 0.8`

`:. theta = 37^(@)`
`(v_(1))/(v_(2)) = tan theta = tan 37^(@) = (3)/(4)`

`:. V_(1) = (3)/(4) v_(2) = (3)/(4) xx 20 = 15 m//s`
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