POV-Ray : Newsgroups : povray.off-topic : Circular : Re: Circular Server Time
3 Sep 2024 19:16:39 EDT (-0400)
  Re: Circular  
From: Le Forgeron
Date: 28 Sep 2010 04:14:07
Message: <4ca1a3cf$1@news.povray.org>
Le 28/09/2010 10:09, Invisible a écrit :
> Question: If you have one of those gizmos that transforms rotational
> motion to reciprocating motion, what path does the reciprocating part
> trace?
> 
> Answer: As far as I can tell, the path is
> 
>   cos a + Sqrt(k^2 - sin^2 a)
> 
> where k is the length of the connecting rod that is free to pivot. As
> you can see, that means that for large k, the path is approximately a
> sine wave. However, for small k it deviates significantly from a simple
> sine wave...

You are also forgetting in the equation the offset between the axes
(when the center of rotation is not aligned with the translation path).


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