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A simple pendulum of length $l$ has a maximum angular displacement $\theta$. The maximum kinetic energy of the bob is
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Verified Answer
The correct answer is:
$m g l(1-\cos \theta)$
Here : length of pendulum $=l$
maximum angular displacement $=\theta$
mass of the bob $=m$
Now height of the bob at maximum angular displacement is
$h=l-l \cos \theta=l(1-\cos \theta)$
Also at the end of the displacement kinetic energy of the bob = potential energy of the bob
$=m g h=m g l(1-\cos \theta)$
maximum angular displacement $=\theta$
mass of the bob $=m$
Now height of the bob at maximum angular displacement is
$h=l-l \cos \theta=l(1-\cos \theta)$
Also at the end of the displacement kinetic energy of the bob = potential energy of the bob
$=m g h=m g l(1-\cos \theta)$
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