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A small particle of mass m is pulled to the top of a frictionless half-cylinder (of...

A small particle of mass m is pulled to the top of a frictionless half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated below. a) Assuming the particle moves at a constant speed, show that F = mg cosθ.(15 points) b) By directly integrating, find the work done in moving the particle at a constant speed from the bottom to the top of the half-cylinder.

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