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The motion of a body supported at three points on a rough plane

โœ Scribed by G.M. Rozenblat

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
267 KB
Volume
75
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

The problem of the motion of a heavy rigid body, supported on a rough horizontal plane at three of its points, is considered. The contacts at the support points are assumed to be unilateral and subject to the law of dry (Coulomb) friction. The dynamics of possible motions of such a body under the action of gravity forces and dry friction is investigated. In the case of a plane body, it is possible to obtain particular integrals of the equations of motion.

๐Ÿ“œ SIMILAR VOLUMES

The steady motions of a disc on an absol
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โœ A.S. Kuleshov ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 167 KB

The branching of the steady motions of a heavy circular disc on an absolutely rough horizontal plane is investigated. The motions corresponding to critical points of the energy integral at fixed levels of two other integrals having the form of hypergeometric series are considered.

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The problem of the motion of a dynamically symmetric gyrostat without slipping on a fixed horizontal plane is investigated. When the surface of the gyrostat and the distribution of the masses in it satisfy a certain condition, supplementing and developing the results obtained by Mushtari [Mushtari K