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Centripetal Force on Ferris Wheels

  1. Oct 6, 2009 #1
    1. The problem statement, all variables and given/known data



    A roller-coaster vehicle has a mass of 510 kg when fully loaded with passengers (Fig. P7.28).
    http://www.webassign.net/sf/p7_28.gif
    (b) What is the maximum speed the vehicle can have at point B in order for gravity to hold it on the track?


    2. Relevant equations
    F-centripetal = mv^2/R
    A-centripetal = V^2/R


    3. The attempt at a solution
    I tried doing mv^2/R = mv^2/R (there was a velocity given in another part of the problem) but that didn't work.
     
    Last edited: Oct 6, 2009
  2. jcsd
  3. Oct 6, 2009 #2

    Doc Al

    User Avatar

    Staff: Mentor

    The maximum speed at point B has nothing to do with any other speed given in the problem--it is a property of the curvature at point B. To find the condition for maximum speed, analyze the forces on the coaster at point B and apply Newton's 2nd law and what you know about centripetal acceleration.
     
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