Three Degrees of Freedom System in the Frame of Lagrangian and Hamiltonian Approaches, Cистема з трьома ступенями вільності в рамках Лагранжевого та Гамільтонового підходів

<jats:p>The Lagrange and Hamilton approaches are key structural elements in classical mechanics courses for undergraduate students and a powerful part of the physics education culture.The paper is created as a project for students aimed at applying the Lagrange and Hamilton formalism for the description of an illustrative 3 degrees of freedom system, learning the peculiarities of these formalisms, seeing the conservation laws and finding the integrals/constants of motion. Students can enjoy using these different independent techniques and obtaining the coinciding results. In other words, this paper is an attempt to presentclear interrelations of these approaches training new skills, useful for students learning classical mechanics.  </jats:p>