Electromechanical systems are systems composed of two subsystems of different natures, one of mechanical origin and the other of electromagnetic origin. Due to the interaction between these two subsystems, a coupling term is always present in the equations that govern its dynamics. This coupling implies a mutual influence between the two parts, that is, the dynamics of the mechanical subsystem influences the dynamics of the electromagnetic subsystem and vice versa. The final project aims to characterize and analyze the dynamics of electromechanical systems. Since these systems are composed of two subsystems of different natures, the energies in the system also have different origins: some are mechanical, as energies kinetic and potential, while others are electromagnetic, like magnetic and electrical energies. For a proper description of the dynamics of an lectromechanical system, it is not sufficient to describe each subsystem separately and, therefore, one must consider coupling terms that provide an interaction between the different types of energies present in the system. Once there are several applications in everyday life, electromechanical systems are attracting the attention of researchers and that is why publications in the areas are more and more frequent. However, there are many references (books and published articles) that describe the dynamics of this type of system in a wrong way, without taking into account the interaction between the mechanical and electromagnetic subsystems or even describing electromechanical systems using only mechanical parameters. It is necessary to describe the dynamics of this type of system with parameters of both natures, because only with this interaction between the two subsystems the can system be called electromechanical. In addition, another focus of the final project is to do an energetic analysis of electromechanical systems so that this interaction between the two subsystems is better comprehended. This analysis will be possible after obtaining the equations of the dynamics involving coupling terms between mechanical and electromagnetic variables through the Lagrange method. These coupling terms introduce into the dynamics equations gyroscopic and circular terms (matrices of type G and N, respectively) that can generate self-excited vibrations. This way, once the dynamic equations are obtained, a stability analysis of these equations will be made, a novelty in literature.