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## Homework Statement

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.

## Homework Equations

W = mg

N = -W

Friction force = f =

*mu*N

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 = mgcos

*Theta*f =

*mu*mgcos

*Theta*W = mg

-W + N + f = 0

Ncos

*Theta*- fcos

*Theta*= 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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