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ЖУРНАЛЫ // Russian Journal of Nonlinear Dynamics // Архив

Rus. J. Nonlin. Dyn., 2025, том 21, номер 3, страницы 279–285 (Mi nd952)

Nonlinear physics and mechanics

Conditions of the Tripod Limiting Equilibrium on a Horizontal Plane with Friction

A. S. Sumbatov

Federal Research Center “Computer Science and Control” of RAS, ul. Vavilova 44, bl. 2, Moscow, 119333 Russia

Аннотация: The problem of limiting equilibrium of a heavy rigid body resting with three points on a horizontal plane with Coulomb friction (tripod) is considered. The body can be brought out of the state of limiting equilibrium by the shift torque of a couple of active forces lying in the support plane, i. e., by the torque whose value does not disturb the equilibrium of the body but, when the torque takes a greater value, equilibrium is broken. The maximum value of the torque of friction forces in the supports, counteracting the shift torque, is found.

Ключевые слова: tripod, equilibrium, friction, shift torque

MSC: 70C20, 70F40

Поступила в редакцию: 09.04.2025
Принята в печать: 12.08.2025

Язык публикации: английский

DOI: 10.20537/nd250902



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