(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A car enters a turn whose radius is R. The road is banked at angleTheta, and the friction coefficient ismu. Find the max and min speeds for the car to stay on the road without skidding sideways.

2. Relevant equations

W = mg

N = -W

Friction force = f =muN

Centripetal acceleration = ac = v^2/R

3. 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 = mgcosThetaf =mumgcosThetaW = 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Max and min speed around banked curve

**Physics Forums | Science Articles, Homework Help, Discussion**