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A solid cylinder of mass m is kept in ba...

A solid cylinder of mass `m` is kept in balance on a fixed incline of angle `alpha=37^@` with the help of a thread fastened to its jacket. The cylinder does not slip.

What force `F` is reqired to kep the cylinder in balance when the thread is held vertically?

A

`mg//2`

B

`3mg//4`

C

`3mg//8`

D

`5mg//8`

Text Solution

Verified by Experts

The correct Answer is:
C
Balancing torque about `C`

`Fr="fr"impliesf=F`
balancing force in the direction of incline
`Fsinalpha+f=mgsinalpha`
`impliesF(3/5)+F=mg(3/5)impliesF=(3mg)/8`
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