By pulling on the string of a yo-yo, a person manages to

Chapter 16, Problem 16.55

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By pulling on the string of a yo-yo, a person manages to make the yo-yo spin, while remaining at the same elevation above the floor. Denoting the mass of the yo-yo by m, the radius of the inner drum on which the string is wound by r, and the centroidal radius of gyration of the yo-yo by \(\bar{k}\), determine the angular acceleration of the yo-yo.

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