Leninskie Gory 1, Moscow, 119991, Russia
Lomonosov Moscow State University
Zubelevich O. E., Salnikova T. V.
A note on Lagrange’s top theory
2018, Vol. 14, no. 1, pp. 139-143
This article is an extended version of Hadamard’s note devoted to some subtle question that has arisen in the Lagrange top theory. As a rule, this question is not discussed in textbooks.
Salnikova T. V., Treschev D. V., Gallyamov S. R.
On the motion of free disc on the rough horisontal plane
2012, Vol. 8, No. 1, pp. 83-101
We consider the problem of a disk sliding on a horizontal plane under the action of dry friction forces. The model is based on three hypotheses. The law of interaction of a small element of the disk’s surface with the plane is the Amonton–Coulomb law, the pressure distribution over the contact patch is a linear (generally speaking, time-dependent) function of Cartesian coordinates, the height of the disk is not high. The equations of motion possess a rich group of symmetry, which enables a detailed qualitative analysis of the problem.