# Car on banked curve with Friction

luckee

## Homework Statement

A car of mass 1200 kg enters a turn of radius 20 m traveling at 12 m/s. The curve is banked at an angle of 37°. What is the normal force on the car by the road? (Assume that there is friction, and use g=10 m/s2.)

## Homework Equations

F=mac
ac=v2/r
fs=$$\mu$$sN

## The Attempt at a Solution

I feel like this problem should be so easy, but for some reason I cannot come to the correct solution. There are 3 forces for this problem: mg, Normal and friction.

So far, what I got is this:

X-direction
mac=N sin $$\theta$$+$$\mu$$s N cos$$\theta$$

Y-direction
0=N cos$$\theta$$-$$\mu$$s N sin$$\theta$$-mg

Am I on the right path? and how do I solve this without given the mu s?

## Answers and Replies

jackqpublic
mutiple the X-direction equation by [;\sin;][;\Theta;]
and the Y-direction equation by [;\cos;][;\Theta;]
then add them.