Lagrange Equations are a set of equations used in classical mechanics to describe the motion of a system. They are derived from the principle of least action, which states that the path taken by a system is the one that minimizes the action, a quantity that depends on the system's kinetic and potential energy. These equations provide a powerful method for analyzing complex mechanical systems, especially when dealing with constraints. The general form of a Lagrange Equation is given by L = T - V , where L is the Lagrangian, T is the kinetic energy, and V is the potential energy. By applying the Euler-Lagrange equation, one can derive the equations of motion for a system, making it easier to solve problems in mechanics compared to traditional methods.