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 – Rcos t). One arch of the cycloid is completed from t = 0 tot= 27. Show that the length of this arch is always four times the diameter of the rolling circle.

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 – Rcos t). One arch of the cycloid is completed from t = 0 tot= 27. Show that the length of this arch is always four times the diameter of the rolling circle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

See similar textbooks