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A rod of mass m and length / is made to ...

A rod of mass m and length / is made to stand at an angle of `60^@` with the vertical. Potential energy of the rod in this position is 

A

`mgl`

B

`(mgl)/2`

C

`(mgl)/3`

D

`(mgl)/4`

Text Solution

Verified by Experts

The correct Answer is:
D
For any uniform rod, the mass is supposed to be concentrated at its centre.
Height of the mass from ground is
`h = (l//2) sin 30^@`
potential energy of the rod
`= mgh xx m xx g xx l/2 sin 30^@`
`= m xx g xx l/2 xx 1/2 = (mgl)/(4)`.
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