Car on banked curve with Friction

  • Thread starter luckee
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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/s2.)


Homework Equations


F=mac
ac=v2/r
fs=[tex]\mu[/tex]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 [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?
 

Answers and Replies

  • #2
mutiple the X-direction equation by [;\sin;][;\Theta;]
and the Y-direction equation by [;\cos;][;\Theta;]
then add them.
 

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