Interesting results for rolling and slipping
作者:
K. Capell,
期刊:
American Journal of Physics
(AIP Available online 1987)
卷期:
Volume 55,
issue 10
页码: 903-906
ISSN:0002-9505
年代: 1987
DOI:10.1119/1.14950
出版商: American Association of Physics Teachers
关键词: RIGID BODIES;CLASSICAL MECHANICS;ROLLING;FRICTION;VELOCITY
数据来源: AIP
摘要:
Rolling with slipping of a uniform rigid body of revolution on a rough horizontal or inclined plane in two‐dimensional motion is a standard problem in elementary dynamics; in such motion each cross section of the body of revolution remains parallel to a fixed vertical plane that is taken to contain the line of greatest slope in the case of motion on an inclined plane. Consider similar two‐dimensional motion inside a fixed cylinder with general, rather than circular, cross‐sectional curve C. This much more difficult problem is considerably simplified if there is no gravity force. The translational and rotational velocities of the body are then found to depend only on the change in direction of the tangent to the curve C up to the current point of contact during the motion and not on the curve itself.
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