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A block slides down a frictionless ramp. It starts from the top, at rest. It is connected to a pulley by a rope that wraps many times around the pulley and unwinds as the mass slides down. The length L = 0.8m and the angle θ is 30 degrees.

The pulley is a solid cylinder of radius 2.0cm and mass m=0.15 kg. The block has mass M=0.55 kg. The pulley turns without friction and the rope doesn't slip; the mass slides without friction.

A) What is the speed of the block when it reaches the bottom? For this part, use force and torque methods.

B) Using an energy method instead, calculate the same answer.

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