Homework problems

Assignment 1: Chapter 1 - 8, 9, 10, 13, 14, 18, 19, 21. Due: 9/30

Assignment 2: Chapter 2 - 3-5, 12, 13, 16-19, 22, 23, 26. Due: 10/27

Additional Problem (see Symmetries and Conservation Laws: Noether's Theorem):
Consider a system of Newtonian particles interacting pairwise by central forces. Show that this system admits a boost symmetry. Use Noether's theorem to compute the corresponding conserved quantities. What is their physical interpretation?

Assignment 3: Chapter 3 - 10, 11, 13, 14, 20, 23, 33 Due: 11/16

Assignment 4: Chapter 6 - 1, 4, 5, 12, 16, 18. Due: 12/1
Additional Problem:

Consider an oscillator, initially at rest, which undergoes a constant force for a finite period of time. Show that after the force ceases the system is oscillating harmonically. Determine the amplitude of the resulting oscillation. See Forced Oscillations for details.

Assignment 5:       Chapter 8 - 1a, 2, 14, 16, 23, 27
                               Chapter 9 - 1, 5, 25, 28a, 30, 31
                                                      8.1b, and 8.19 are optional for extra credit   Due: 12/14