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Rotation problem - centrifugal forces

  1. Dec 6, 2009 #1
    1. The problem statement, all variables and given/known data
    An object sliding along a smooth horizontal ruler that I am holding will fly off as a result of the centrifugal force if I am rotating. Write down newton's 2nd law for the sliding object as viewed by me in the rotating frame whilst moving with angular velocity w, and verify that it is satisfied if the distance r from the rotation axis at time t is:

    r(t)=Acosh(wt) + Bsinh(wt)

    where A and B are arbitrary constants.


    2. Relevant equations



    3. The attempt at a solution
    Well the only force causing acceleration in your frame of reference is the centrifugal force which is mw2r which is equal to md2r/dt2. Cancel the mass but then I don't know where to go from here. I guess you solve the differential equation but I'm not sure how to do this. Any ideas?
     
  2. jcsd
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