An Analytical Solution of the Equations of a Rolling Disk of Finite Thickness on a Rough Plane

Details An Analytical Solution of the Equations of a Rolling Disk of Finite Thickness on a Rough Plane An Analytical Solution of the Equations of a Rolling Disk of Finite Thickness on a Rough Plane

2005-09-05

arxiv.org/abs/physics/0509034v1

International Journal of Non-Linear Mechanics, Volume 41, Issues 6-7, July-September 2006, Pages 850-859

Physics

Classical Physics

12 pages, 2 figures

Scientific paper

10.1016/j.ijnonlinmec.2006.06.00

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.

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