The following list of learning objectives is provided to the student as a study aide to highlight some of the most important concepts in this part of the textbook. It is not intended to be exhaustive and will not limit the type of questions your instructor may ask on an exam. It also is not intended to replace the student's own need to think about the material and to organize the material internally.
1. Know what is meant in Classical Physics by terms: coordinates and trajectories2. Be able to transform position, velocity, and acceleration vectors between different coordinatesystems including Cartesian, Cylindrical, and Spherical coordinate systems.3. Know what is meant by holonomic and non-holonomic constraints.4. Know the definition of the Lagrangian and be able to find the Lagrangian for a simple system.5. Know Hamilton's Principle of Least Action and use it to derive Lagrange's Equations of Motion.6. Be able to use Lagragian Mechanics to solve simple physical systems.7. Be able to find the Hamiltonian for a simple physical system.8. Be able to determine if a generalized coordinate is ignorable and its implication for the associated conjugate momentum. 9. Be able to use Hamiltonian Mechanics to solve simple physical systems. |