On equilibrium of the stand of a physical pendulum on a horizontal plane with dry friction

摘要

The problem of finding the equilibrium conditions for the stand of a physical pendulum to which, in particular, the forces of dry (Coulomb) friction are applied, is treated. Two statements of the problem are considered: the symmetric case of the system plane-parallel motion and the case of supporting of the stand on a horizontal plane by three points. The certain problems on equilibrium of a rigid body supported on a surface with dry friction at a finite number of points, are studied in a set of publications, e.g. (Levi-Civita, 1924; Chernousko, 1988;1997; Rosenblat, 2006; Silverman, 2018; Glane and Muller, 2019).