Applications in solution of physical problems by using Lagrange and Hamilton's equations for conservative systems

الملخص

In this paper, Lagrange and Hamilton's equations for the conservative systems have been studied through the applications and solving some physical questions in Newton's field, electrical field, also of the plants moving within the sun's gravity field as well, the solving also have been compared and found all identical , and extraction of the potential energy of conservative force. But dealing with Hamilton's equations is easier because they are from the first order; therefore, we are dealing with the scalar quantities and not dealing with vector once as in Newton's mechanics.