Av. Karapetyan, SPECIFIC FEATURES OF THE APPLICATION OF ROUTHS THEORY TO SYSTEMS WITHDIFFERENTIAL CONSTRAINTS, Journal of applied mathematics and mechanics, 58(3), 1994, pp. 387-392
Specific points connected with the application of Routh's theory to th
e study of steady motions in systems with differential constraints are
discussed, on the assumption that first integrals exist. The need to
eliminate all dependent variables initially from the expressions for t
he first integrals is pointed out. The general conclusions are illustr
ated by investigating, as an example, the steady motions of a dynamica
lly symmetric sphere on an a absolutely rough horizontal plane.