Question
A body of mass 0.2kg executes simple harmonic motion of period 4s. The body acquires the velocity 4m/s after 0.6s it passes through its mean position. Find the potential energy of particle at t = 1s.
Solution
The velocity of body at any instant is given by,

Time period of oscillation of body = 4s.
Therefore at t = 1s, the body will be at extreme position.
Potential energy stored in the body at t = 1s is,

We have,
Velocity of the body, v=4 m/s at t=0.6s
Mass of the body, m=0.2kg

Time period of oscillation of body = 4s.
Therefore at t = 1s, the body will be at extreme position.
Potential energy stored in the body at t = 1s is,

We have,
Velocity of the body, v=4 m/s at t=0.6s
Mass of the body, m=0.2kg
