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(a) If the coefficient of static friction between the tires and the road is µs, derive an expression for the maximum speed vmax at which the driver can take the curve without sliding. (b) What is the maximum speed if R = 275 m and µs = 0.85? (c) An engineer (brilliant man that he is) proposes to rebuild the curve, banking it so that, at a certain speed v, no friction at all is needed for the car to make the curve. At what angle B should it be banked if v = 22.5 m/s?

(a) If the coefficient of static friction between the tires and the road is µs, derive an expression for the maximum speed vmax at which the driver can take the curve without sliding. (b) What is the maximum speed if R = 275 m and µs = 0.85? (c) An engineer (brilliant man that he is) proposes to rebuild the curve, banking it so that, at a certain speed v, no friction at all is needed for the car to make the curve. At what angle B should it be banked if v = 22.5 m/s?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A Tesla rounds a flat, unbanked curve with radius R. (a) If the coefficient of static friction between the tires and the road is us, derive an expression for the maximum speed vmar at which the driver can take the curve without sliding. (b) What is the maximum speed if R = 275 m and us = 0.85? (c) An engineer (brilliant man that he is) proposes to rebuild the curve, banking it so that, at a certain speed v, no friction at all is needed for the car to make the curve. At what angle B should it be banked if v = 22.5 m/s?
Transcribed Image Text:A Tesla rounds a flat, unbanked curve with radius R. (a) If the coefficient of static friction between the tires and the road is us, derive an expression for the maximum speed vmar at which the driver can take the curve without sliding. (b) What is the maximum speed if R = 275 m and us = 0.85? (c) An engineer (brilliant man that he is) proposes to rebuild the curve, banking it so that, at a certain speed v, no friction at all is needed for the car to make the curve. At what angle B should it be banked if v = 22.5 m/s?
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