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## 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/s

^{2}.)

## Homework Equations

F=ma

_{c}

a

_{c}=v

^{2}/r

f

_{s}=[tex]\mu[/tex]

_{s}N

## 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__

ma

_{c}=N sin [tex]\theta[/tex]+[tex]\mu[/tex]

_{s}N cos[tex]\theta[/tex]

__Y-direction__

0=N cos[tex]\theta[/tex]-[tex]\mu[/tex]

_{s}N sin[tex]\theta[/tex]-mg

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