A simple pendulum of length l has maximum angular displacement θ . The maximum kinetic energy of the bob of mass m is ( g = acceleration due to gravity)

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When bob is at rest, the pendulum has only potential energy which is given as $P . E = m g l$

When the bob is released from maximum displaced position, it will lose P.E. and gain K.E

Thus loss in P.E = gain in K.E

$∴ K . E = m g l - m g l \cos θ = m g l (1 - \cos θ)$

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