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arXiv · 1107.3963

Integration of Constraint Equations in Problems of a Disc and a Ball Rolling on a Horizontal Plane

Eugeny A. Mityushov
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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.

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Eugeny A. Mityushov. 2011-07-20. Integration of Constraint Equations in Problems of a Disc and a Ball Rolling on a Horizontal Plane. https://arxiv.org/abs/1107.3963

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