Lagrangian mechanics was based on the concepts of kinetic energy and potential energy and was based on d’Alembert’s principle of virtual work. The standard Lagrangian is the difference between the ki...Lagrangian mechanics was based on the concepts of kinetic energy and potential energy and was based on d’Alembert’s principle of virtual work. The standard Lagrangian is the difference between the kinetic and potential energies. Hamilton extended Lagrangian mechanics by defining Hamilton’s Principle that states that a dynamical system follows a path for which the action functional is stationary.
