(Solved): Two blocks having different masses m1 and m2 are connected by a string passing over a pulley ...

Two blocks having different masses $$m_1$$ and $$m_2$$ are connected by a string passing over a pulley as shown in the figure. The pulley has a radius $$R$$ and moment of inertia I about its axis of rotation. The string does not slip on the pulley, and the system is released from rest. Find the translational speeds of the blocks after block 2 descends through a distance $$h$$ and find the angular peed of the pulley at this time.