In this paper, we investigate the dynamic behavior of a lubricated mechanism in the incompressible case. The goal is to develop a mathematical model that describes the motion of the upper surface, based on the quasi-stationary Reynolds equation and Newton’s second law. We also analyze the existence and uniqueness of solutions to the resulting differential equations, as well as the conditions under which global nonexistence of solutions may arise. Furthermore, we conduct a thorough numerical analysis of the parameters a and p, examining their influence on the system’s behavior. The results provide valuable insights into the dynamics of lubrication, enhancing the understanding of these mechanisms in practical applications.