The well-known problem of the rolling without slipping of a heavy circular disc along a horizontal plane is considered. The steady motions of a disc for which the angle between the plane of the disc and the supporting plane (the angle of nutation) is constant are investigated. The problem of the ran
The equilibrium conditions of a rod on a rough plane
โ Scribed by A.S. Smyshlyayev; F.L. Chernous'ko
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 369 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
The problem of the equilibrium of a rod on a rough horizontal plane when there are dry friction forces is considered. The equilibrium conditions which ensure that the rod remains at rest are determined by solving the problem of an extremum. The results obtained are compared with the well-known result for a Zhukovskii bench.
๐ SIMILAR VOLUMES
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.
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 ac
The problem of the conditions for the static equilibrium of a body, resting on a rough plane at one, two or three points, is considered. It is assumed that an arbitrary system of active forces is applied to the body, while the friction on the rough supporting plane is anisotropic. This model general