The fundamental equations of dynamics using representation of quasi-coordinates in the space of non-linear non-holonomic constraints

Abstract

The dot product of the bases vectors on the super-surface of the non-linear nonholonomic constraints with one order, expressed by quasi-coordinates, and Mishirskii equations are regarded as the fundamental equations of dynamics with non-linear and non-holonomic constraints in one order for the system of the variable mass. From these the variant differential-equations of dynamics expressed by quasi-coordinates are derived. The fundamental equations of dynamics are compatible with the principle of Jourdain. A case is cited.