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)

Question

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), m g l ( 1 + cos ⁡ θ ), m g l ( 1 + cos 2 ⁡ θ ), m g l ( 1 - cos ⁡ θ ), m g l ( cos ⁡ θ - 1 )

MARKS App · Accepted Answer

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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