Integration of Constraint Equations in Problems of a Disc and a Ball Rolling on a Horizontal Plane
Exactly Solvable and Integrable Systems
2011-07-21 v1 Dynamical Systems
Abstract
The problem of a disc and a ball rolling on a horizontal plane without slipping is considered. Differential constrained equations are shown to be integrated when the trajectory of the point of contact is taken in a form of the natural equation, i.e. when the dependence of the curvature of the trajectory is explicitly expressed in terms of the distance passed by the point.
Keywords
Cite
@article{arxiv.1107.3963,
title = {Integration of Constraint Equations in Problems of a Disc and a Ball Rolling on a Horizontal Plane},
author = {Eugeny A. Mityushov},
journal= {arXiv preprint arXiv:1107.3963},
year = {2011}
}
Comments
9 pages, 4 figures