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Perturbation analysis of rolling friction on a turntable

 

作者: Harry Soodak,   Martin S. Tiersten,  

 

期刊: American Journal of Physics  （AIP Available online 1996）
卷期: Volume 64, issue 9  

页码: 1130-1139

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18333

 

出版商: American Association of Physics Teachers

 

关键词: ROLLING FRICTION;PERTURBATION THEORY;TRAJECTORIES;EQUATIONS OF MOTION;TORQUE;CLASSICAL MECHANICS;03.20

 

数据来源: AIP

 

摘要:

The effect of rolling friction on the motion of a ball rolling on a uniformly spinning horizontal turntable is evaluated by a first‐order perturbation approach, in which the unperturbed trajectories are the circular gyrations of the rolling ball in the absence of rolling friction. The analysis provides qualitative and quantitative understanding of the effect of rolling friction by itself and in combination with other ‘‘perturbations,’’ such as a tilt of the turntable.

 

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