The equations of motion of a non-holonomic system with a non-retaining constraint
The regularity of the equations of motion of a system with a perfect non- retaining constraint \(q_ 1\geq 0\) and with differential constraints is demonstrated. As regards the latter it is assumed that they are imposed either on all motions of the system or only on those for which \(q_ 1=0\). The effect of impacts on the stability of permanent rotation of a heavy solid about its axis of symmetry above an absolutely rough surface is investigated. It is shown that the stability of rotation of a solid on the surface can be destabilized by tearing away to an arbitrary height, as small as desired.
system with a perfect non-retaining constraint
scientific article; zbMATH DE number 3995111