MASSACHVSETTS INSTITVTE OF TECHNOLOGY Classical Mechanics 6.946, 8.351, 12.620, 12.008 Week 4: Assignment 4: Due 9 October 2009 Exercises: 2.2, 2.3a, 2.3b, 2.4, 2.5, 2.6 Note: The project on the double pendulum, exercise 1.39, is also due 2 October 2009. Read: 2.1, 2.2, 2.3, 2.4, 2.5 9: Kinematics of rigid bodies, Moments of inertia Read: 2.6, 2.7 10: Generalized coordinates for rigid bodies Read: 2.8, 2.9 11: Motion of a free rigid body Week 5: Assignment 5: Due 16 October 2009 Exercises: 2.11 2.12, 2.13 Begin project 2.21, on the rotation of Mercury, which will be due on 23 October 2009. Read: 2.10 12: Axisymmetric top Read: 2.11, 2.12 13: Spin-orbit coupling Read: Notes 14: Vector Fields and Form Fields Week 6: Note: Monday is Columbus Day Holiday, but Monday class is on Tuesday! 15: Poincare Equations Read: 3.1 up to 3.1.1 16: Hamilton's equations Assignment 6: Due 23 October 2009 Exercises: 3.1, 3.3, 3.4 parts a and c, 3.5 Choose one of the following two projects. These projects are quite a bit of work, so the problem sets for the next few weeks are small. Exercise 3.14: The Periodically-Driven Pendulum or Exercise 3.15: Spin-orbit Surfaces of Section Your write-up of one of these is due on 13 November 2009. Read: 3.1.1, 3.1.2, 3.1.3 17: Legendre transformation and Hamiltonian Action