Finding Parametric EquationsTrochoids A wheel of radius a

Chapter 11, Problem 38E

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Problem  38E

Finding Parametric Equations

Trochoids A wheel of radius a rolls along a horizontal straight line without slipping. Find parametric equations for the curve traced out by a point P on a spoke of the wheel b units from its center. As parameter, use the angle θ through which the wheel turns. The curve is called a trochoid, which is a cycloid when b = a.

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