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You live in a town with lots of hills. The coefficient of static friction between tires...

You live in a town with lots of hills. The coefficient of static friction between tires and pavement is 0.15. What is the maximum incline (in degrees) of a hill you can park on and expect to find your car where you left it?

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Answer #1

Force along the incline is

Force due to friction is

where is coefficient of static friction.

The maximum incline (in degrees) of a hill you can park on and expect to find your car where you left it is when the frictional force is just equal to the force along the incline

This gives the maximum incline

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