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

    Received 09 April 2025; accepted 12 August 2025; published 02 October 2025

    2025, Vol. 21, no. 3, pp.  279-285

    Author(s): Sumbatov A. S.

    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
    Citation: Sumbatov A. S., Conditions of the Tripod Limiting Equilibrium on a Horizontal Plane with Friction, Rus. J. Nonlin. Dyn., 2025, Vol. 21, no. 3, pp.  279-285
    DOI:10.20537/nd250902


    Download File
    PDF, 206.74 Kb




    Creative Commons License
    This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License