Note: please do not use previous versions of the solution. I have not been able to find the right one. I have attached the image with the question. please explain in detail and how to apply the boundary conditions.

Two masses m1 = m2= m are connected by a linear spring of stiffness k. The masses can slide on a horizontal surface, my with a friction coefficient u = 1/2, and m2 with no friction. Let the absolute displacements of the two blocks, x1 and x2 be measured from an unstreched position of the spring, and the initial conditions are x1 (0) = 0, X2 (0) = mg/k, x, (0) = 0, x2 0) = 0. 9 X 2 . Find: (a) the maximum velocity of m1; (b) the time when m1 first stops sliding. K m1 m2 M = N/- M = 0