PHYS 400/500 - Analytical Mechanics II

Description

Lectures

Assignments

Grading

Lecture Schedule - Spring 2011 - Dr. Fortner

Lectures are M 6:00-8:40 in room FW 227 (LaTourette Hall)

  • Required texts:
    • Hand and Finch - Analytical Mechanics
    • Aris -Vectors, Tensors, and the Basic Equations of Fluid Dynamics
Week Date Lecture notes Text: Hand and Finch Text: Aris
1. Martin Luther King Holiday 1/17

no lecture

 

  
2. Lagrange's Equations 1/24

Coordinates; Work; Lagrangian

1.1-1.9

  
3. Hamilton's Principle 1/31 Hamiltonian; Variational Calculus; Constraints 1.10-1.13, 2.1-2.9  
4. Oscillators 2/7 Harmonic Oscillator; Forced Oscillator; Resonance 3.1-3.9  
5. Central Force 2/14

Pendulum; Two Bodies; Kepler

4.1-4.7

  
6. Hamilton's Equations 2/21 Conservation; Dynamics; Phase Space 5.1-5.7  
7. Vectors 2/28 Vectors; Vector Fields; Rotations 7.1-7.6 2.11-2.36, 3.11-3.43
8. Accelerated Systems 3/7 Fictitious Force; Rotating Earth; Coriolis Effect 5.8, 7.7-7.10  
Spring Break 3/14 no classes    
9. Tensors 3/21 Tensors; Stress Tensor; Inertia Tensor 8.1-8.3 2.41-2.82, 5.11-5.15
10. Body Motion 3/28 Principal Axes; Euler Rotation; Spinning Tops 8.4-8.13  
11. Fluid Dynamics 4/4 Trajectories; Fluid Motion; Navier-Stokes   4.11-4.5, 5.21-5.24, 6.11-6.3
12. Small Vibrations 4/11 Double Pendulum; Normal Modes; Strings 9.1-9.7  
13. Non-Linear Mechanics 4/18 Dynamic Equilibrium; Duffing Oscillator; Poincare Map 10.1-10.4, 11.1-11.2  
14. Special Relativity 4/22 6:00-8:40 Space-Time; Lorentz Transformation; Mass-Energy 12.1-12.10  
15. 4-Vectors 5/2 Invariants; Relativistic Motion 12.11-12.18  
  5/9 Finals    

Last updated April 18, 2011