Abstract
The idea of realizing holonomic constraints by means of elastic forces was proposed by Lecornu, Klein and Prandtl /1/ when dealing with the paradox of dry friction discovered by Painleve. The general theorem on the realization of holonomic constraints with the help of elastic forces directed towards the configurational manifold of a constrained system was proposed by Courant and was proved in /2/. The generalization of Courant's theorem was considered in /3–5/ by studying the passage to the limit in the case when the velocity of the system at the initial instant is transverse to the manifold defined by the constraint equations. In /2–5/ the assumption that the system in question in conservative is used to a considerable degree.
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