Abstract:
In this paper we investigate the dynamics of a body with a
flat base sliding on a horizontal plane under the assumption of linear
pressure distribution of the body on the plane as the simplest dynamically
consistent friction model.
For analysis we use the descriptive function method similar to the methods
used in the problems of Hamiltonian dynamics with one degree of freedom
and allowing a qualitative analysis of the system to be made without
explicit integration of equations of motion. In addition, we give
a systematic review of the well-known experimental and theoretical results
in this area.
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