✦ LIBER ✦

The steady rolling of a disc on a rough plane

✍ Scribed by A.S. Kuleshov

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 199 KB
Volume: 65
Category: Article
ISSN: 0021-8928
DOI: 10.1016/s0021-8928(01)00020-x

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✦ Synopsis

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 range of variation of the angle of nutation within which the given motions are stable, irrespective of the values of the constants of the two linear first integrals or, in other variables, irrespective of the angular velocities of precession and proper rotation, is investigated. It is shown that this range is wider than was established earlier in [l].

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