Answer the following question : The motion of a simple pendulum is approximately simple harmonic for small angle oscillations. For larger angles of oscillation, a more involved analysis shows that T is greater than 2pisqrt(l/g), Think of a qualitative argument to appreciate this result.

Answer the following question : The motion of a simple pendulum is ap

1.	Answer the following question : The motion of a simple pendulum is approximately simple harmonic for small angle oscillations. For larger angles of oscillation, a more involved analysis shows that T is greater than 2pisqrt(l/g), Think of a qualitative argument to appreciate this result.
Answer» Solution :`sin theta lt theta`, if the restoring force, `mg sin theta` is replaced by `mgtheta`, this amounts to effective reduction in angular ACCELERATION [Eq.(14.27)] for LARGE angles and hence an increase in TIME PERIOD T over that GIVEN by the formula `T=2pisqrt(l/g)` where one assumes `sintheta=theta`