The rolling of a homogeneous ball with slipping on a horizontal rotating plane. (English) Zbl 1439.70007
Summary: 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.
MSC:
| 70E18 | Motion of a rigid body in contact with a solid surface |
| 70F40 | Problems involving a system of particles with friction |
Keywords:
rotating surface; turntable; nonholonomic constraint; rolling ball; sliding; viscous frictionReferences:
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