MASSACHVSETTS INSTITVTE OF TECHNOLOGY Classical Mechanics 6.946, 8.351, 12.620, 12.008 Week 1: 1: Mechanics is more than equations of motion Read: Notation Appendix and Scheme Appendix Evening: Introduction to Lab -- Programming and Notation 7--10~PM, Room 14-0637 We will work on Exercises: 8.1, 8.2 (from notation section) Assignment 0: Due 11 September 2009 Exercises: 8.1, 8.2 Read: Section 1 through section 1.4 2: Principle of stationary action Assignment 1: Due 18 September 2009 Exercises: 1.2, 1.3, 1.4, 1.5 Week 2: Read: Section 1.5, 1.6 up to 1.6.2 3: Lagrange Equations, Hamilton's Principle Read: Sections 1.6.2, 1.6.3 4: Coordinate transformations and rigid constraints Read: Section 1.7 5: State and evolution - Chaos Assignment 2: Due 25 September 2009 Exercises: 1.8, 1.9 by hand, 1.11, 1.20, 1.21 Remember to show all steps on 1.9 and 1.11. You should use the method described in section 1.6.3 to do exercise 1.20 with the computer. Begin the Double Pendulum Project, exercise 1.39, which will be due on 2 October 2009. Week 3: Read: Sections 1.6.4 6: Total-time derivatives and the Euler-Lagrange operator 7: Chaotic Solar System Read: Section 1.8 8: Conserved quantities Assignment 3: Due 2 October 2009 Exercises: 1.26, 1.27, 1.29 On 1.29, use the constraint formalism. Remember that the project on the double pendulum, exercise 1.39, is due 2 October 2009.