An Analytical Solution of the Equations of a Rolling Disk of Finite Thickness on a Rough Plane
arXiv:physics/0509034 · doi:10.1016/j.ijnonlinmec.2006.06.002
Abstract
In this article an analytical solution of equations of motion of a rigid disk of finite thickness rolling on its edge on a perfectly rough horizontal plane under the action of gravity is given. The solution is given in terms of Gauss hypergeometrical functions.
12 pages, 2 figures