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The paper considers a case of brachistrochronic motion of the mechanical system in the field of conservative forces, subject to the action of constraints with Coulomb friction. In this case an analogy is made between the two approaches of solving this problem of the mechanical system with two degrees of freedom. The mathematical model used to compute the brachistohrone in this special case of the multibody system with two deegres of freedom is based on varational calculus. The complete analogy is made with a solution in relation to material point.

On brachistochronic motion of a multibody system with two degrees of freedom with real constraints