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A rod of mass m and length L is hinged a...

A rod of mass m and length L is hinged at its top end. If the rod is in equilibrium making an angle of `30^(@)` with the vertical when a horizontal force F is applied as shown in figure, then the value of F is:

A

`mg//2`

B

2mg

C

`mg//2sqrt(3)`

D

`sqrt(3)mg`

Text Solution

Verified by Experts

The correct Answer is:
C
Taking torque at top pt, `mg sin30^(@)xxL//2=F cos30^(@)xxLimpliesF=mg//2sqrt(3)`
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