Rotational motion mechanism with quasi stops      
02rep.pdf
DIMA.mw

Sarrus linkage
https://en.wikipedia.org/wiki/Sarrus_linkage 

Sarrus_linkage.mw 

The mechanism of transport of the material of the sewing machine M 1022 class: mathematical animation.   BELORUS.mw 

  Continuation.
  One way to get rolling without slipping animation in 3d. The trajectory and circle are divided into segments of equal length. In the next segment of the trajectory we construct circle, taking into account the fact that it turned on one segment. Rolling sphere or cylinder can be simulated, if we take plottools templates of the same radius, and replace them on the site of our circle.

ROLLING_WITHOUT_3d.mw

Spiral (equidistant) around the curve.  In this case, a spiral around the spiral.
So without any sense. 
spiral_around_curve.mw 
 
If we re-save the animation with the program Easy GIF Animator, its size is reduced by about 10 times, and sometimes much more.