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IssuesArchive of Issues2023-1pp.131-139

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A.A. Burov and V.I. Nikonov, "Relative Equilibria of a Heavy Point on a Uniformly Rotating Inclined Plane," Mech. Solids. 58 (1), 131-139 (2023)
Year 2023 Volume 58 Number 1 Pages 131-139
DOI 10.3103/S0025654422600817
Title Relative Equilibria of a Heavy Point on a Uniformly Rotating Inclined Plane
Author(s) A.A. Burov (Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences, Moscow, 119333 Russia, jtm@narod.ru)
V.I. Nikonov (Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences, Moscow, 119333 Russia, nikon_v@list.ru)
Abstract The problem of the motion of a heavy point along an inclined plane that rotates uniformly around the vertical is considered. The area filled with non-isolated relative equilibria is determined, its dependence on the parameters of the problem - the angular velocity, the angle of inclination of the plane and the angle of friction - is studied. The stability of the studied relative equilibria is discussed.
Keywords relative equilibrium, dry friction
Received 15 November 2021Revised 07 March 2022Accepted 27 March 2022
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