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Parametric equation of a Curtate cycloid

  1. Sep 11, 2005 #1
    The problem says;

    Suppose that a bicycle wheel of radius a rolls along a flat surface without slipping. If a reflector is attached to a spoke of the wheel at a distance b from the center of the resulting curve traced out by the reflector is called a curtate cycloid.

    I need to find a set of parametric equations for the curtate cycloid.

    Using vectors I found the following set of parametric equations

    [tex]
    x=at-|a-b|sin(t)[/tex]

    [tex]
    y=a-|a-b|cos(t)
    [/tex]

    I would appreciate it if someone could tell me if my answer is correct since this is an even numbered problem I cannot check my answer. And don't worry...I don't have to turn this in or anything so it's not cheating... :smile:
     
  2. jcsd
  3. Sep 11, 2005 #2
    looks good to me
     
  4. Sep 11, 2005 #3
    Hey thanks Mike.. :smile:
     
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