(a) You want to design a circular racetrack of radius R such that cars of mass M can go around the track at speed w without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle θ of the track, measured from the horizontal. Your answer should be expressed in terms of M, R, w, and g. (b) Suppose the racecars actually round the track at a speed v > w. What additional radial force is required to keep the cars on the track at this speed? Express your answer in terms of M, R, w, v, and g.

(a) You want to design a circular racetrack of radius R such that cars of mass M can go around the track at speed w without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle θ of the track, measured from the horizontal. Your answer should be expressed in terms of M, R, w, and g. (b) Suppose the racecars actually round the track at a speed v > w. What additional radial force is required to keep the cars on the track at this speed? Express your answer in terms of M, R, w, v, and g.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 49P: The “mean” orbital radius listed for astronomical objects orbiting the Sun is typically not an...

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