Physics 235Chapter 7- 1 -Chapter 7Hamilton's Principle - Lagrangian and Hamiltonian DynamicsMany interesting physics systems describe systems of particles on which many forces areacting. Some of these forces are immediately obvious to the person studying the system sincethey are externally applied. Other forces are not immediately obvious, and are applied by theexternal constraints imposed on the system. These forces are often difficult to quantify, but theeffect of these forces is easy to describe. Trying to describe such a system in terms of Newton'sequations of motion is often difficult since it requires us to specify the total force. In thisChapter we will see that describing such a system by applying Hamilton's principle will allow usto determine the equation of motion for system for which we would not be able to derive theseequations easily on the basis of Newton's laws. We should stress however, that Hamilton's
This is the end of the preview.
access the rest of the document.