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13.Oscillations
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Length of a simple pendulum is $l$ and its maximum angular displacement is $\theta$, then its maximum $K.E.$ is
A
$mgl\sin \theta $
B
$mgl(1 + \sin \theta )$
C
$mgl(1 + \cos \theta )$
D
$mgl(1 - \cos \theta )$
Solution
(d) Kinetic energy will be maximum at mean position.
From law of conservation of energy maximum kinetic energy at mean position = Potential energy at displaced position
==> ${K_{\max }} = mgh = mgl(1 – \cos \theta )$
Standard 11
Physics
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