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  4. Simple pendulum of length l has a maximum angular displacement θ. The maximum kinetic energy of the bob is

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Q. Simple pendulum of length $l$ has a maximum angular displacement $\theta$. The maximum kinetic energy of the bob is

ManipalManipal 2013Work, Energy and Power

Solution:

In the equilibrium position energy is in the form of kinetic energy.
Height of bob at maximum angular displacement is
$h=l-l \cos \theta$
$=l(1-\cos \theta)$
Also $P E=K E $
$m g h=m g l(1-\cos \theta)$

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