RUS  ENG
Full version
JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Rus. J. Nonlin. Dyn., 2025 Volume 21, Number 3, Pages 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

Abstract: 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.

Keywords: tripod, equilibrium, friction, shift torque

MSC: 70C20, 70F40

Received: 09.04.2025
Accepted: 12.08.2025

Language: English

DOI: 10.20537/nd250902



© Steklov Math. Inst. of RAS, 2026