ABSTRACT
This chapter discusses several dynamic equations of motion will be derived from variational principles using techniques developed by Legendre, Hamilton and Lagrange. It introduces Hamilton’s principle Hamilton’s principle is a generalization of Euler’s principle of minimum action in connection with the problem of a particle moving under the influence of a gravity field. Lagrange’s equations of motion are widely used for modeling mechanical systems. The electro-mechanical analogy was carried into complex systems with multiple connected circuits to simulate multiple member mechanical system behavior. Hence, Lagrange’s equation of motion can also be generalized to electrical systems. In fluid dynamics applications at the same height the gravity potential is constant and its derivative vanishes.
