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Problem 4Please show all work with algebra.1. An object with a mass m is attached to the free end of a light string wrapped around a reel of radius R and mass M. The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center (of mass) as shown in the figure below. The suspended object is released from rest h m above the floor. The entire system is friction free and the string does not slip on the pulley. The moment of inertia of the reel is IMR2 (a) (8 points) Draw a free body diagram and write out the equations of motion for the block and for the pulley (b) (8 points) Determine the tension in the string and the acceleration of the block. (c) (8 points) Use kinematics to determine the velocity of the block when it strikes the floor (d) (8 points) Use energy conservation to determine the velocity of the block when it strikes the floor and compare your answer with part (c)

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