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  4. A simple pendulum of length l has a maximum angular displacement 8. The maximum kinetic energy of the bob is

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Q. A simple pendulum of length l has a maximum angular displacement 8. The maximum kinetic energy of the bob is

BHUBHU 2003Oscillations

Solution:

In SHM body is acted upon by a restoring force which tends to bring it in equilibrium position. Due to this force there is potential energy. Also as the body is moving it has kinetic energy.
During oscillation the two energies convert into each other.
Height of bob at maximum angular dispiacement is
h =lI - lcos $\theta = l(l - \cos \theta)$
Also, $ \, \, \, PE=KE$
$ \, \, \, \, mgh=mgl(1-\cos\theta)$

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