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Forum index » Science and Technology » Math » Research
Roulettes
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Narasimham G.L.
science forum Guru Wannabe


Joined: 28 Apr 2005
Posts: 216

PostPosted: Mon Jul 03, 2006 12:41 pm    Post subject: Roulettes Reply with quote

What are the intrinsic and parametric equations [x(s),y(s)] traced by a
point in 2D of a rigid curve having natural equation rho1=f(s) rolling
on another fixed curve of natural equation rho2=g(s) ? and vice-versa?
( rho is radius of curvature, s arc length)

In particular,

What transformation/substitution of equations transforms a cycloid
(rigid circle rolling on a fixed line) to an involute (rigid line
rolling on a fixed circle)? And vice-versa?

Regards
Narasimham
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