What will happen to the motion of simple pendulum if the amplitude of motion is large? How does period of oscillation change with amplitude?

Explanation

If amplitude of motino of simple pendulum is large, then `theta` is large. In that case, `sintheta!=theta` and restoring torque will not be linear, hence motion will not remain simple harmonic but will become oscillatory. If `theta_(0)` is the angular amplitude of motion in theis situation, then time period woule be given by
`T=2pisqrt((l)/(g))[1+(1)/(2^(2))sin^(2)((theta_(0))/(2))+....]`
`~~2pisqrt((l)/(g))[1+(theta_(0)^2)/(16)]`