Question

A simple Harmonic motion has an amplitude A and time period T. What is the time taken to travel from x = A to x = A/2.

Answer 1

Displacement from mean position = A-^A/2 = ^A/2.

When the motion starts from the positive extreme position, y = A cosωt.

Answer 2

Let at x= A , time t =0 so in general x = A cos wt, where w = 2pi/T

when x = A/ 2 the time will be t = 1/w cos^-1(1/2) = T/(2pi)* pi/3= T/6