[QUE/CM-01007] Periodic Motion

Question : Determine the period of oscillations of a simple pendulum ( a particle of mass $m$ suspended by a string of length $L$ in a gravitational field) as a function of the amplitude of the oscillations.} 

Answer : {$T= 2\pi \sqrt{(L/g)}(1 + \theta_0 ^2/16 + \cdots ) $ }