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Angular Speed of Rotating Hoop

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A string is wrapped several times around the rim of a small hoop with radius r and mass m . The free end of the string is held in place and the hoop is released from rest. Calculate the angular speed of the rotating hoop after it has descended a distance, h. (See attached file for diagram and figures)

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This solution contains step-by-step calculations to determine the angular speed of the rotating hoop. All formulas and workings are shown.

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