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Math Help - Parametric formulas for moving Tool through a Plate

  1. #1
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    Parametric formulas for moving Tool through a Plate

    Hi to all

    In a analyses software i want write a formula for a tool that move though the plate.

    I already use below formula for move the tool on a circle path.
    it is a cylindrical coordination.
    x : r*sin(\omega *t)
    y: r*cos(\omega *t)



    I showed path of tool on plate:

    http://i813.photobucket.com/albums/z...Untitled-1.png


    i what have a formula for move the tool on all surface, step by step like path that showed on the picture.
    I think it must be in cylindrical coordination.

    I am wait for your answer.

    My english is not good . please tell me if you don't understand.


    Thank you
    Last edited by sml2010; April 23rd 2011 at 11:53 AM. Reason: picture path change
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  2. #2
    MHF Contributor

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    If the picture shows what you actually want to do, you need a "step" function, that is, a function defined differently over different sections. The first move, directly to the left would be of the form x= constant, y= f(t), then x= g(t), y= constant, etc. if the tool is moving at constant speed, that would be x= constant, y= -vt (v is the speed), x= -vt, y= constant, etc.
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  3. #3
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    Hi Dear HallsofIvy

    Thank you for your reply.
    Please let me for try it in the software.


    Thank you.
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