A car enters a turn whose radius is R. The road is banked at angle Theta, and the friction coefficient is mu. Find the max and min speeds for the car to stay on the road without skidding sideways.
W = mg
N = -W
Friction force = f = muN
Centripetal acceleration = ac = v^2/R
The Attempt at a Solution
Here's the force diagram I drew:
http://img504.imageshack.us/img504/9576/0925081412wy0.th.jpg [Broken]http://g.imageshack.us/thpix.php [Broken]
I have the following equations set up:
N = mgcosTheta f = mumgcosTheta W = mg
-W + N + f = 0
NcosTheta - fcosTheta = Fc = ac
So far, I think I've set up the problem correctly, but now I don't know where to go from here.
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