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.)
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:
mac=N sin [tex]\theta[/tex]+[tex]\mu[/tex]s N cos[tex]\theta[/tex]
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?