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Originally Posted by dancedanceyo
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

2. Originally Posted by dancedanceyo
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.

Ramp.jpg

3. Originally Posted by rickh
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

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Originally Posted by SLW210
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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