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The value of F at which no friction will...

The value of F at which no friction will act on block on inclined plane , is :

A

`2mumg`

B

`2mumg+2mgtantheta`

C

`2mumg+mgtantheta`

D

`2mumg+mgsintheta`

Text Solution

Verified by Experts

The correct Answer is:
B

If wedge start slipping, common acceleration
`a_(C)=(F-2mumg)/(2m)`
If `mgsintheta=macostheta`, then no force along the plane will be felt by the block and hence friction will be zero.
`impliesmgsintheta=m((F-2mumg)/(2m))costheta`
`F=2mgtantheta+2mumg`
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