Download PHGN 505 - Classical Mechanics Spring 2011

PHGN 505 - Classical Mechanics Spring 2011
Catalog Data: PHGN505: Classical Mechanics I (I). Review of Langrangian and
Hamiltonian formulations in the dynamics of particles and rigid bodies; kinetic theory, coupled
oscillations and continuum mechanics; fluid mechanics.
Textbook: A.L. Fetter and J.D. Walecka, "Theoretical Mechanics of Particles and Continua",
McGraw-Hill (1980).
Coordinator: Tim R. Ohno, Associate Professor of Physics
Office MH444, labs MH175 & 163
Office phone x3847, home 303-277-9459 cell phone 303-594-8349 (not always on)
[email protected], this is the best way to reach me
office hours: TBA
Goals:
(i)
Understand the fundamental concepts of the Lagrangian and Hamiltonian formulations of
classical mechanics. Develop background for, and applications of, their extensions to
other sub-fields of physics, e.g., quantum mechanics and statistical mechanics.
(ii)
Master the mathematical techniques of classical mechanics.
(iii) Develop skills in: Problem-oriented, structured thinking, Problem solving and
communications
Topics:
1.
2.
Particle Mechanics
a.
Newton's laws - 1 class
b.
System of particles and Central forces - 2 classes
c.
Accelerated systems – 1 class
d.
Variational methods and Lagrange's equations- 4 classes
e.
Normal modes of vibration; small oscillations - 2 classes
f.
Rigid bodies; Euler's equations - 4 classes
g.
Hamiltonian theory - 4 classes
Continuum mechanics
a.
loaded string, continuum limit, Green's function - 3 classes
b.
Strain, strain rate, Reynold's transport theorem - 2 classes
c.
Stress Strain Elasticity- 2 class
d.
Sound waves, fluids- 2 classes
e.
Viscous fluids – 1 class
Details
Homework - 45%
Midterm - 15%
Final - 20% Paper - 20%
Homework is due at the beginning of class Thursday. We will also have an in-class
problem each day on the material we have covered and one on the new material.