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SECTION 3 - Newtonian Dynamics 3 (a) A rope (that can be considered massless) is wrapped around a horizontal cylinder of mass M and radius R. The cylinder is free to rotate, and a mass m is hanging on the end of the rope as shown in the diagram. When the mass is released, it falls under the effect of gravity. Show that the downward acceleration a of the hanging mass is: 1 + M/2m [j (You can assume that the moment of inertia of the cylinder is M (b) Show that the kinetic energy of the falling mass m is equal to: mgh i +M/2m 2 en please show all your work

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