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Car turning on banked road

  1. Jan 20, 2009 #1
    1. The problem statement, all variables and given/known data

    Will a road banked at 40 degrees allow cars (u=0.6) to safely make a turn (radius=100m) while traveling at 30 m/s (or 67 mi/hr)?


    2. Relevant equations

    f = uN
    possibly others

    3. The attempt at a solution

    I'm really not sure how to get started. This is the only problem I don't know how to do. I would really appreciate any help. Thank you.
     
    Last edited: Jan 20, 2009
  2. jcsd
  3. Jan 20, 2009 #2

    LowlyPion

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    Homework Helper

    Welcome to PF.

    Draw a force diagram on the car.

    Gravity is vertically down, so the components of weight can be resolved as vectors along the incline and normal to the incline.

    The centripetal acceleration is acting horizontally. Its components can also be resolved along the plane of the incline and normal to it.

    If the downward force of gravity and the additional maximum contribution from the friction component is sufficient to prevent the car from slipping then ...
     
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