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arXiv 1107.3963nlin.SImath.DS
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圆盘和球在水平面上滚动问题中约束方程的积分

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

Eugeny A. Mityushov

摘要:

考虑了圆盘和球在水平面上无滑动地滚动的问题。微分约束方程被证明是集成时的接触点的轨迹是采取的形式的自然方程,即当轨迹的曲率的依赖性是明确表示在通过的点的距离。

英文摘要:

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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