Question: 2) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 4.2., # 8) A point on a rolling circle of radius R traces out a

2) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 4.2.,

2) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 4.2., # 8) A point on a rolling circle of radius R traces out a cycloid, which can be parameterized by c(t) = (Rt - Rsint, R - R cost). One arch of the cycloid is completed from t = 0 to t = 27. Show that the length of this arch is always four times the diameter of the rolling circle

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