The time taken by a particle executing simple harmonic motion of period T to move from the mean position to half the maximum displacement is

Step-by-step solution

Let at the instant t=0 , the particle is at the mean position. So, the displacement equation of the particle executing SHM is given by, x=A ( t)) Where, A and ware the amplitude of oscillation and the frequency respectively. Let the time taken by the particle in going from mean position to half maximum displacement be .