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Need help for cycloid

  1. Sep 1, 2008 #1
    Hi everyone,
    i have a problem concerning with the reason to why taking the cycloid to be parametrised by (sin(t)-t, cos(t)+1) causes it to roll, whereas taking (sin(t)-at, cos(t)+1) for a is not quals to 1, would cause it to slip.


    can anybody explain to me or give me a hint, thx a lot.
     
  2. jcsd
  3. Sep 1, 2008 #2

    tiny-tim

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    Welcome to PF!

    Hi shoushou! Welcome to PF! :smile:

    Hint:

    i] from each of the equations, how far has the circle gone when it completes a 360º revolution?

    ii] how far does it need to go to avoid slipping?

    iii] then prove it for smaller angles. :smile:
     
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