The problem reads:(adsbygoogle = window.adsbygoogle || []).push({});

A banked circular highway curve is designed for traffic moving

at 60 km/h. The radius of the curve is 200 m. Traffic is moving

along the highway at 40 km/h on a rainy day. What is the

minimum coefficient of friction between tires and road that will

allow cars to take the turn without sliding off the road?

(Assume the cars do not have negative lift.)

I managed to solve for the angle of the bank through the equation

angle = tan^-1((v^2)/gR). Where v=velocity, g=the acceleration of gravity,

and R=the radius of the curve.

My trouble is that after I solve for the angle I cannot think of anyway to solve for static friction without the weight or mass of the car. Am I thinking in the wrong direction to believe that i need the mass of the car?

It would be very appreciated if someone could point me in the right direction on this problem. Thanks.

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

Dismiss Notice

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: Minimum static friction problem

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