Davon Frami
Oct 21, 2024
The coefficient of static friction between hard rubber and normal street pavement is about 0.7.?
What is the steepest hill (maximum angle) on which you can safely park a car, given that the coefficient of static friction between hard rubber tires and normal street pavement is approximately 0.7?
4 Answers
Let x = angle of the inclineW sin x = weight along inclineW cos x = weight normal to the inclineW sin(x) = 0.7 W cos (x) sin (x)/cos (x) = 0.7tan (x) = 0.7
x = arctan (0.7) = 34.99 deg
It depends upon the height of the car’s center of mass. However, if the car is very flat, we can assume the center of mass is at zero height. In that case, John S’s analysis is correct.
Feb 20, 2025
This question is impossible to solve without knowing the location of the vehicle’s center of mass relative to its wheels. Unless you start guessing about the weight bias of the car, and the height of the center of mass, you cannot obtain a meaningful answer.
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