# Banked highway curves and static friction

## Homework Statement

A 1200 kg car rounds a curve of radius 67 m banked at an angle of 12 degrees. If the car is traveling at 95 km/hr, will a friction force be required? If so how much and in what direction?

F=ma
a=v2/r

## The Attempt at a Solution

I don't know what I'm doing wrong with this problem. These are the two equations I have from them and when I try to solve I either get a huge number or a negative.

Ncos$$\theta$$-Ffrsin$$\theta$$-mg=0

Nsin$$\theta$$+Ffrcos$$\theta$$=ma

I'm positive that it needs friction force and I think it is in the direction of the center of curve, but I haven't figured out a way to solve. Can someone please help?