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Car on banked curve with Friction

  1. Jul 22, 2009 #1
    1. The problem statement, all variables and given/known data
    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.)


    2. Relevant equations
    F=mac
    ac=v2/r
    fs=[tex]\mu[/tex]sN

    3. 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?
     
  2. jcsd
  3. Jul 22, 2009 #2
    mutiple the X-direction equation by [;\sin;][;\Theta;]
    and the Y-direction equation by [;\cos;][;\Theta;]
    then add them.
     
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