Consider two objects with m$1>$m$2$ connected by a light string that passes over a pulley having a moment of inertia of I about its axis of rotation. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance $2$h$.$ Use the principle of conservation of energy to find the translational speeds of the objects as they pass each other. Find the angular speed of the pulley at this time.