A simple pendulum of length ' L ' has mass ' M ' and it oscillates freely with amplitude 'A'. At extreme position, its potential energy is

Step-by-step solution

At extreme position, the potential energy of simple pendulum, PE = 1 2 ~mA ^2 where, = angular frequency = 2 ~T For simple pendulum, T=2 ~L ~g = 2 2 ~g ~L = g ~L [ ~T = 2 ] On putting value of in Eq. (i), we get aligned & PE = 1 2 mM ^2 ( ~g ~L )^2 & = mgA ^2 & 2 ~L aligned