The pulley of radius R can rotate freely about its axle as shown in the figure. A thread is tightly wrapped around the pulley and its free end carries a block of mass `m`. When the block is at a height `h` above the ground the system is released (i.e., the pulley is made free to rotate & the block is allowed to fall) and at the same instant the axle is moved up keeping it horizontal all the time. When the block hits the floor the axle has gone up by a distance `2h`. Find the angle by which the pulley must have rotated by this time.

Answer

`(3h)/(R)`