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

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.

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Publication Details

Journal
Nelineinaya Dinamika
Published
2025-01-01
DOI
https://doi.org/10.20537/nd250902
Primary Topic
Contact Mechanics and Variational Inequalities
Type
article
Field-Weighted Citation Impact
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Conditions of the Tripod Limiting Equilibrium on a Horizontal Plane with Friction

A.S. Sumbatov
Nelineinaya Dinamika
Contact Mechanics and Variational Inequalities
article

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

A.S. Sumbatov
article en

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.

Nelineinaya DinamikaVol. 21(3)
Institute of Informatics Problems (RU)
Openalex Percentile: Top 71%
Contact Mechanics and Variational Inequalities
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