# Simple harmonic motion phase difference problem

Two particles executing SHM of same amplitude of 20cm with same period along the same line about same equilibrium position. The maximum distance between the two is 20cm.

The trouble for me is what should be the equation of position of the SHMs. Is it a sin function or cos function? It seems to me that both the functions should be equivalent because it should not depend upon from where we take the phase of the SHMs. I mean the phase difference between them is constant value.

• Draw a picture of 2 SHM systems each consisting of a spring and a block hanging from the ceiling. Since both systems have the same amplitude and period, they're identical. If you pull both blocks down and release them at the same time, they will both execute SHM, they will be in phase, and the maximum distance between them will be 0. And since the systems are identical, draw 1 sin curve and see if you can figure out the phase difference between the 2 systems when one is at an amplitude of 20 cm. and other one at amplitude of 0 cm. – Cinaed Simson Jun 1 '19 at 19:19