Question

Two partical `A and B` execute simple harmonic motion according to the equation `y_(1) = 3 sin omega t` and `y_(2) = 4 sin [omega t + (pi//2)] + 3 sin omega t`. Find the phase difference between them.

Answer 1

Reperesenting a quantity with phase `(omega t)` along the x-axis , quantity with phase `(omega t + phi)` can be reperesented by a voctor making an angle `phi` with the X-axis in the anticlock wise sense and any quanity with phase `(omega t - phi)` can be reperesented by a voctor making an angle `phi` with the X-axis in the anticlock wise sense [as shown in figure

phase difference`= phi = tan ^(-1) (4//3)`