# Answer the following questions: (a) The motion of a simple pendulum is approximately simple harmonic for small angle oscillation. For larger angles of

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(a) The motion of a simple pendulum is approximately simple harmonic for small angle oscillation. For larger angles of oscilliation, a more involved analysis shows that T is greater than 2pisqrt((t)/(g)) Think of a qualitative argument to appreciate this result.
(b) What is the frequency of oscillation of a simple pendulum mounted in a cabin that is freely falling under gravity ?

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Correct Answer - (a) sin theta lt theta ; if the restoring force, mg sin theta is replaced by mgtheta, this amounts to effective reduction in g for large angels and hence an increase in time period T over that given by the formula T = 2pisqrt((l)/(g)) where one assume sin theta = theta.
(b) Gravity disappears for a man under free fall, so frequency is zero.