Question

Two particles execute S.H.M. of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions, and each time their displacement is half of their amplitude. The phase difference between them is

Two equations of two S.H.M. are y=asin (ωt−α) and y=bcos (ωt−α). The phase difference between the two is

In the figure, what will be the sign of the velocity of the point P₁, which is the projection of the velocity of the reference particle P. P is moving in a circle of radius R in anticlockwise direction.

Show that for a particle executing S.H.M., velocity and displacement have a phase difference is π/2.