Jack sits in the chair of a Ferris wheel that is rotating

Chapter 5, Problem 5.98

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Jack sits in the chair of a Ferris wheel that is rotating at a constant 0.100 rev>s. As Jack passes through the highest point of his circular path, the upward force that the chair exerts on him is equal to one-fourth of his weight. What is the radius of the circle in which Jack travels? Treat him as a point mass.

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