At time t = 0, one particle is at maximum positive amplitude and the other particle is at half of the positive amplitude. Their amplitudes and time periods T are same. If they are approaching, find the time by which they cross each other:

x1= A cos ωt (at t = 0, x1 = A)x2 = A sin(ωt+π6)              (at t =0, x2 = +A2)For x1 = x2, cos ωt = sin (ωt+π6)     = sin ωt cos π6+cos ωt sin π6cos ωt(1-sinπ6) = sin ωt cos π6tan ωt = (1-sinπ6)cos π6 = 13ωt = (2πT)t = π6Will give t = T12