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A simple pendulum of length l has a maxi...

A simple pendulum of length l has a maximum angular displacement `theta`. The maximum kinetic energy of the bob of mass m will be

A

`mgl(1-costheta)`

B

`mglcostheta`

C

`mgl sintheta`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Height, h = l `(1-costheta)`
`v_(m)^(2)=2gh=2gl(1-costheta)`
`therefore"Maximum kinetic energy, K"_(m)=(1)/(2)mv_(m)^(2)=mgl(1-cos theta)`
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