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A pendulum is displaced to an angle thet...

A pendulum is displaced to an angle `theta` from its equilibrium position, then it will pass through its mean position with a velocity v equal to

A

`sqrt(2gl (1 - cos theta)`

B

`sqrt(2gl (1 + cos theta)`

C

`sqrt(2gl cos theta)`

D

`sqrt(2gl)`

Text Solution

Verified by Experts

The correct Answer is:
A

Potential energy at extreme position =kinetic energy at mean position
`mg l (1 - cos theta) = (1)/(2) mv^(2)`
`v = sqrt(2 gl (1 - cos theta))`
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