Question

derive using cocept of moment of inertia and conservation of mechanical energy Time period for small oscillation pendulum. ​

Answer 1

Successive swings of the pendulum, even if changing in amplitude, take the same amount of time. For larger amplitudes, the period increases gradually with amplitude so it is longer than given by equation (1). For example, at an amplitude of θ0 = 23° it is 1% larger than given by (1).