On the motion of a heavy point along a helical line on a rough surface ( Toward a theory of the spiral separator)
Authors:
Abstract
Generalizing the Catalan problem about the motion of a point rotating on a polished surface, the author searches for surfaces that allow the motion of a point rotating in a spiral with a vertical axis in the presence of friction, and explores the nature of the stability of the motion of a rotating point on a spiral located on a rough helical surface with a vertical axis, as well as the influence on this motion of the resistance of the medium, depending on speed, and the rotation of the surface around aerodynamic propellers.
Область исследования:
(Archived) Articles
Funding:
None
References
- Lyapunov. General problems of stability of motion, Kharkov, 1892. (in Russian)