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A system is pushed by a force F as shown...

A system is pushed by a force `F` as shown in figure All surfaces are smooth except between `B` and `C` is `mu`. Minimum value fo `F` to prevent block `B` from down ward slipping is

A

`((3)/(2mu))mg`

B

`((5)/(2mu))mg`

C

`((5)/(2))mumg`

D

`((3)/(2))mumg`

Text Solution

Verified by Experts

The correct Answer is:
B
The acceleration of system is
`a=(F)/(5m)`
Hence the normal reaction `B` exerts on `C` is ltbr. `N=2ma=(2)/(5)F`
Thus frictional force on `'B'` is

For `B` not of fall down.
`mu=(2)/(5)F=mg or F=(5mg)/(2mu)`
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