2019Nelineinaya DinamikaOpen access

The Rolling of a Homogeneous Ball with Slipping on a Horizontal Rotating Plane

Tatiana B. Ivanova

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Abstract

This paper is concerned with the rolling of a homogeneous ball with slipping on a uniformly rotating horizontal plane.We take into account viscous friction forces arising when there is slipping at the contact point.It is shown that, as the coefficient of viscosity tends to infinity, the solution of the generalized problem on each fixed time interval tends to a solution of the corresponding nonholonomic problem.

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This paper is concerned with the rolling of a homogeneous ball with slipping on a uniformly rotating horizontal plane.We take into account viscous friction forces arising when there is slipping at the contact point.It is shown that, as the coefficient of viscosity tends to infinity, the solution of the generalized problem on each fixed time interval tends to a solution of the corresponding nonholonomic problem.

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Available abstract

This paper is concerned with the rolling of a homogeneous ball with slipping on a uniformly rotating horizontal plane.We take into account viscous friction forces arising when there is slipping at the contact point.It is shown that, as the coefficient of viscosity tends to infinity, the solution of the generalized problem on each fixed time interval tends to a solution of the corresponding nonholonomic problem.

Key concepts: Slipping, Ball (mathematics), Homogeneous, Horizontal plane, Nonholonomic system, Inclined plane, Plane (geometry), Mechanics

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