The time -period of a simple pendulum is 2s and its can go to and fro from equilibrium position at a maximum distance of 5 cm. if at the start of the motion the pendulum is the position of maximum displacements towars the right of the equilibrium position, then write the displacement equation of the pendulum.

Explanation

The displacement in SHM is given by
`y=A sin (omegat+phi_(0))`
Given `T=2s, A=5 cm`
`omega=(2pi)/(T)=(2pi)/(2)= pi "rad" s^(-1)`
`:.y=5 sin (pixx0+phi_(0))`
(or) `sin phi_(0)=1 rArr :. Phi_(0)=(pi)/(2)`
Hence displacement equation for the pendulum is
`y= 5 sin (pi +(pi)/(2))= 5 cost. `