A block of mass $M$ is moving with a velocity $v_1$ on a frictionless surface as shown in figure. It passes over to a cylinder of radius $R$ and moment of inertia $I$ which has a fixed axis and initially at rest. When it first make contact with the cylinder, it slips on the cylinder, but the friction is large enough so that slipping ceases before it losses contact with the cylinder. Final it goes to the dotted position with velocity $v_2$. Compute $v_2$ in terms of $v_1, M, I and R.$