pl solve the problem
The equation of displacement of a particle executing SHM at an instant t is given as:
Where,
A = Amplitude of oscillation
ω = Angular frequency
The velocity of the particle is:
The kinetic energy of the particle is:
The potential energy of the particle is:
For time period T, the average kinetic energy over a single cycle is given as:
And, average potential energy over one cycle is given as:
It can be inferred from equations (i) and (ii) that the average kinetic energy for a given time period is equal to the average potential energy for the same time period.