Draw a graph to show the the variation of P.E., K.E. and total eneryg of a simple harmonic oscillator with displacement .

Explanation

Let y be the displacement of a particle in SHM at an instant t, starting from the mean position when `t=0` . If r is the amplitude of oscillation and `omega` is the angular frequency of the oscillating particle in SHM, then
`PE=(1)/(2)momega^(2)y^(2)`
`KE=(1)/(2)momega^(2)(r^(2)-y^(2))`
`TE=(1)/(2)=momega^(2)r^(2)`
The variation of PE, KE and TE with displacement y is shown in figure .