Topic outline

  • General

    Classical Mechanics-NSC607 -

    Credits: 4

    Level: intermediate-advanced

    Monday       11:30am - 12:50pm
    Wednesday 11:30am - 12:50pm

    Classroom: Sci 117A
    Faculty: Sara Salimbeni


    This Classical Mechanics class is suitable either for students in transition to advanced physics classes or for students with a good physics foundation who want to study Classical Mechanics more in depth. This class provides a complete analysis of the classical mechanics of particles, systems of particles, and rigid bodies. It introduces the mathematical formalism needed for the quantum theory of physics as well. Some of the included topics will be: Oscillations and Nonlinear Oscillations and Chaos, some Methods in the Calculus of Variations, Lagrangian and Hamiltonian Dynamics.

    TextBook: Classical Dynamics of Particles and Systems 5th  by  Thornton  

  • Topic 1

    Week 1:  Newtonian Mechanics
     

    Reading for Monday the  23rd: 2.1-Introduction 2.2- Newton's laws 2.3- Frames of reference 2.4 The equation of motion for a particle (Skipp example 2.8)

    Assignment_0 is due on Monday the  23rd

    Reading for Wednesday the 25th:2.5 Conservation theorems - 2.6 Energy - 2.7 Limitations of newtonian mechanics

    • Topic 2

      Week 2 - Newtonian Mechanincs - Oscillations

      Due on Monday 1/30: exercises 2.15, 2.27, 2.32

      Reading for Wednesday, February the 2nd: 3.1, 3.2, 3.3, 3.4

      • Topic 3

        Week 3 - Oscillations

        Due on Monday, February the 6th: execises 2.21, 2.43, 3.3, 3.7

        Reading for Wednesday, Februry the 8th: 3.5

        • Topic 4

          Week 4 - Oscillations

          Reading for Wednesday the 15th: 3.6

          Due on Wednesday, Februry the 15th:

          • Topic 5

            Week 5 - Oscillations

            Due on Monday, February the 20th: Review Appendix C, with exercises c-2:  a,b,c.  exercise 3.15 - 3.16

            Reading for Monday, February the 20th: review 3.5 + 3.6

            • Topic 6

              Week 6 - Nonlinear Oscilltions

              Reading for Monday the  27th: 4.1 -4.2 -4.3

              Reading for Wednesday, Februry the 29th: 4.4 - 4.5 - 4.6

              The midterm test is due by February  28th at 10 a.m.

              • Topic 7

                Week 7 - Nonlinear Oscillation and Chaos

                Due on Monday, March the  5th: exercises 4.2 - 4.3 +

                The equation of motion for a particle is mx''=a*x-bx^3 with a and b positive. Discuss the motion using the phase diagram.

                Reading for Monday, March the  5th: 4.4 - 4.5 - 4.6

                Reading for Wednesday, March the 7th: 4.7 - 4.8



                • Topic 8

                  Week 8 -

                  Due on Monday, March the  26th:  Discuss the  exercises 4.11, 4.12, 4.17 and 4.18 using the 1Dmap demostration on

                  http://www.cmp.caltech.edu/%7Emcc/Chaos_Course/Demonstrations.html

                  For the tent map (the parameter a in the demostration is equal to 2alpha on the exrcises)

                  + exercises 4.16 and 4.19

                  Reading for Monday, March the 26th: chaos.doc

                  Reading for Wednesday, March the 28th: 6.1; 6.2; 6.3; 6.4

                  • Topic 9

                    Week 9 -

                    Due on Monday, April the 2nd: Report on the pendulum experiment.

                    Reading for Monday, April the 2nd: 
                    6.4, 6.5, 6.6, 6.7

                    Reading for Wednesday, April the 4th: 7.1, 7.2, 7.3


                    • Topic 10

                      Week 10

                      Due on Monday: exercises 6-2 6-4 6-9 (for the last one, check equation 8-57 here http://www.mpri.lsu.edu/textbook/Chapter8-a.htm ). & and the one given in class

                      Reading:

                      monday 7.4-7.5

                      wednesday: 7.6-7.7-7.8-7.9

                      • Topic 11

                        Week 11


                        Due on Monday: 7.3,7.7


                        Reading for Wednesday: 7.10

                        • Topic 12

                          Week 12

                          Due on Monday: exercises 7.32 (skip the last question)-7.38-7.39

                          Reading for Monday: 9.1`-9.2-9.3-9.4-

                          Reading for Wednesday:  9.5-9.6

                          • Topic 13

                            Due on Monday: exercises 9.37 9.44

                            Reading for Monday: 9.7 9.8

                            Reading for Wednesday: