Work, Power and EnergyHard

Question

Length of a simple pendulum is l and its maximum angular displacement is l, then its maximum K.E. is :

Options

A.mg l sin θ
B.mg l (1 + sin θ)
C.mg l (1 + cos θ)
D.mg l (1 - cos θ)

Solution

         
Kinetic energy will be maximum at mean position. From law of conservation of energymaximum kinetic energy at mean position = Potential energy at displaced position
⇒ Kmax = mgh = mg(1 - cos θ)

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