Analysis of mechanical systems action of differential equations with high dynamic methods

Mechanics that is an action science is examined under two subheadings are called "Vectorial Mechanics" and "Analytical Mechanics". Vectorial Mechanics is interested in vector quantities such as force, acceleration and momentum etc. Analytical Mechanics is interested in scalar quantities such as kinetic energy, potential energy and work etc. In this study, on the purpose of to analyze mechanical systems, went beyond "Static" and "Dynamics" lectures which are lectures department of mechanical engineering. To this end, used Analytical Mechanics Lecture which is lecture on graduate study as base. In our study, the state of mechanical systems is analyzed theoretical under two subheadings are called "Analytical Static" and "Analytical Dynamics". In the chapter of applications, how the theory is transferred to practice, is introduced. In the chapter of conclusion and recommendations, the advantages of analytical mechanics methods are introduced and are explained in the advantages of industrial applications.