Question: The path of a point on the circumference of a circle, such as a point on the rim of a bicycle wheel as it rolls

The path of a point on the circumference of a circle, such as a point on the rim of a bicycle wheel as it rolls along, tracks out a curve called a cycloid. See Fig. 20.5. To find the distance through which a point moves, it is necessary to simplify the expression (1 − cosθ)² + sin²θ. Perform this simplification.

- 20 0 T Fig. 20.5 3 X

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