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A rod mass (M) hinged at (O) is kept in ...

A rod mass (M) hinged at (O) is kept in equilibrium with a spring of stiffness (k) as shown in figure. The potential energy stored in the spring is .

A

`(mg)^(2)/(4k)`

B

`(mg)^(2)/(2k)`

C

`(mg)^(2)/(8k)`

D

`(mg)^(2)/(k)`.

Text Solution

Verified by Experts

The correct Answer is:
C
`sum ("Moment about" O)=0`
`:. (kx) l = mg (l/2)` or `x=(mg)/(2k)`
`U=(1)/(2)kx^(2) =(mg)^(2)/(8k)`
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