Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable). (English) Zbl 1421.70011
Summary: In this work we investigate the motion of a homogeneous ball rolling without slipping on uniformly rotating horizontal and inclined planes under the action of a constant external force supplemented with the moment of rolling friction, which depends linearly on the angular velocity of the ball. We systematise well-known results and supplement them with the stability analysis of partial solutions of the system. We also perform an experimental investigation whose results support the adequacy of the rolling friction model used. Comparison of numerical and experimental results has shown a good qualitative agreement.
MSC:
| 70E18 | Motion of a rigid body in contact with a solid surface |
| 70E05 | Motion of the gyroscope |
| 70F25 | Nonholonomic systems related to the dynamics of a system of particles |
| 70F40 | Problems involving a system of particles with friction |
Keywords:
rolling; rotating surface; tilted turntable; non-holonomic constraint; rolling ball; rolling friction; qualitative analysisReferences:
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