Assignments

PROBLEM SET TOPICS DUE ONE DAY BEFORE

Problem Set 1: Classical Mechanics II Review (PDF)

Animation of a Double Compound Pendulum Showing Chaotic Behavior

 Lecture 4
Problem Set 2: Friction, Forces of Constraint, Lagrange Multipliers (PDF) Lecture 6
Problem Set 3: Dynamics of Rigid Bodies, the Use of Rotating Coordinate Systems (PDF) Lecture 8
Problem Set 4: Symmetric Top, Oscillations (PDF) Lecture 10
Problem Set 5: Canonical Transformations, Poisson Brackets, Conserved Quantities, the Hamilton-Jacobi Method (PDF) Lecture 13
Problem Set 6: Hamilton-Jacobi Equations, Action-angle Variables (PDF) Lecture 14

Problem Set 7: Perturbation Theory, Fluids (PDF)

Mathematica Code for Pendulum with Action Angle Vars (NB) — related to material discussed in Lecture 14 on Perturbation Theory

 Lecture 20
Problem Set 8: Ideal and Viscous Fluids, Dimensional Analysis (PDF) Lecture 21

Problem Set 9: Fluids, Chaos (PDF - 3.6MB)

Mathematica Code to Explore Driven Nonlinear Damped Oscillator (NB - 18.7MB)

 Lecture 23

Problem Set 10: Nonlinear Dynamics, Chaos (PDF - 3.4MB)

Mathematica Code for Logistic Map (NB - 3.6MB)

Mathematica Code for Damped Pendulum's Phase Space (NB)

Mathematica Code to Explore Driven Nonlinear Damped Oscillator (NB - 19MB)

 Lecture 26