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Thread: Cycloid

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    Quote Originally Posted by dancedanceyo View Post
    Additional:
    height of 1meter and base of .75meter
    Looking further into the function of a cycloid, and your conditions to meet, I don't think that a cycloid can meet these restrictions...might you need a trochoid instead?
    Attached is the same calc file, but modified for the trochoid, which can also produce the cycloid. You can search trochoid on wiki to see the easy explanation...as far as what exact radii to use, well it's your competition. Start calculating some tangential acceleration I suppose using radii values that create a ramp with these parameters.
    good luck...

    sorry to all for the post...post...post....
    trochoid-vs-ellipse.xls

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    Luminous Being JD Mather's Avatar
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    Quote Originally Posted by dancedanceyo View Post
    The purpose is to trace a board of wood with it and cut it out in the shape a ramp. I'm participating in a competition that requires a vehicle only powered by gravity
    If you are a student you can download Autodesk Inventor Professional for free from http://www.autodesk.com/edcommunity and Inventor will create the ramp for you based on any motion law you want.

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    Quote Originally Posted by rickh View Post
    Looking further into the function of a cycloid, and your conditions to meet, I don't think that a cycloid can meet these restrictions...might you need a trochoid instead?
    Attached is the same calc file, but modified for the trochoid, which can also produce the cycloid. You can search trochoid on wiki to see the easy explanation...as far as what exact radii to use, well it's your competition. Start calculating some tangential acceleration I suppose using radii values that create a ramp with these parameters.
    good luck...

    sorry to all for the post...post...post....
    Attachment 33692
    A trochoid is a cycloid. TROCHOID
    “A narrow mind and a fat head invariably come on the same person” Zig Zigler



  4. #14
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    Quote Originally Posted by SLW210 View Post
    A trochoid is a cycloid. TROCHOID
    Acutally, a cycloid is a trochoid; in which the radius to the tracing point is the same as the radius to the edge of the wheel of revolution (b=a in the link you provided). A trochoid is not necessarily a cycloid, but a cycloid is definitely a trochoid.

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