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A rigid body of mass m is suspended from...

A rigid body of mass m is suspended from point O using an inextensible string of length L when it is displaced through an angle `theta` , what is the change in the potential energy of the mass ?
(Refer adjacent figure.)

A

`mgL(1-cos theta)`

B

`mgL(costheta-1)`

C

`mgLcostheta`

D

`mgL(1-sin theta)`

Text Solution

Verified by Experts

The correct Answer is:
C
A rigid body of mass m is suspended from point O using an inextensible string of length L, when it is displaced through an angle Q. This situation can be described through the following figurer

So, the P.E. of the pendulum at angle `theta`
= mgh
`= mg (L - L cos theta)`
So the change in `PE = mgL - mgl (1 - cos theta) `
`= mgL cos theta`
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