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Circular Motion and Banked Curves

  1. Feb 24, 2010 #1
    1. The problem statement, all variables and given/known data
    A concrete highway curve of radius 60.0 m is banked at a 11.0 degree angle. What is the maximum speed with which a 1500 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)


    2. Relevant equations
    w f 2 = w i2* t + 1.2 * alpha * t
    theta f - theta i = w i t + t/2 alpha t 2

    3. The attempt at a solution

    Okay, I drew a picture of the problem and I tried to find all the forces acting on the car but I really don't think I've got them all. I know there's the usual gravity, normal force, and centripetal acceleration but I'm not sure if the equations I referenced above are even really relevant.
     
  2. jcsd
  3. Feb 24, 2010 #2

    rock.freak667

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    Homework Helper

    In your FBD, centripetal force is not to be on there, centripetal force is a resultant force.

    The resultant normal force (perpendicular to the plane) is zero. You should now be able to find the normal reaction.

    Friction=μR.

    If the car slides down the plane, then friction acts up the plane. What do the resultant of these two force give?
     
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