Example

A particle moves in a simple harmonic motion between A and B as shown. The dotted lines are equally spaced. The time taken to travel from A to B is 5.00 s and the distance AB is 40.0 cm.

a)    Write an equation to represent the given simple harmonic motion.
b)    During one cycle, find the time that the particle stays in the region:
i)     A-A1
ii)     A1-B1
[ x = 0.200 sin (0.628 t) , 0.833 s , 3.33 s ]