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Motion and force along a curved path-angle of curves?

  1. Oct 5, 2008 #1
    1. The problem statement, all variables and given/known data

    An automobile club plans to race a 740 kg car at the local racetrack. The car needs to be able to travel around several 175 m radius curves at 85 km/h. What should the banking angle of the curves be so that the force of the pavement on the tires of the car is in the normal direction? (Hint: What does this requirement tell you about the frictional force?)

    2. Relevant equations

    a=v^2/r
    Tcos(theta)=mv^2/r
    F=ma

    3. The attempt at a solution

    Friction must equal 0?
     
  2. jcsd
  3. Oct 5, 2008 #2
    Correct. So draw a free body diagram for the situation.

    Here is a hint : Resolve the normal force into x and y components. One of these components should equal the weight of the car, the other should provide the required centripetal force towards the center of the track.
     
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