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Murphy is using a pulley to lift a barrel. For safety, the rope is wrapped around the pulley many times. Treat the pulley as a hoop with a mass one tenth that of the barrel. When the barrel is 10.0 meter off the floor, Murphy loses his grip and the barrel starts falling. Suppose the rope does not slip over the pulley. Determine how fast is the barrel falling when it hits the floor? Determine the acceleration of the barrel? Do a dimensions check and limiting cases for coherence.

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