Week | Material
| Homework | Due |
1 | Chapters 2 and 4: Newtonian mechanics; Newton's Laws of
Motion, inertia and inertial frames,
equations of motion4.2,4.3,4.4,4.5,4.7,4.8,4.14,4.19 |
01/16/2009 |
|
2 | Chapters 2 and 4: Work and Conservative vs
Nonconservative forces,
kinetic and potential energy, the energy equation, separable forces,
constraints; solution of single body problems for different kinds of
forces.4.21,4.22,4.23,5.3,5.4,5.5 |
01/23/2009 |
|
3 | Chapters 2 and 4:
solution of single body problems for the different kinds of
forces; Chapter 5: Noninertial reference frames, frame
translations and rotations, inertial velocity, fictitious
forces--transverse acceleration, Coriolis acceleration, centrifugal
acceleration--motion in noninertial frames, motion near the surface of the
Earth (the Foucault pendulum, projectile motion, cyclonic motion).
5.6,5.7,5.8,5.10,5.11,5.12 |
01/30/2009 |
|
4 |
Chapter 5: Noninertial reference frames,
motion near the surface of the
Earth, Plumb Bob, the Foucault pendulum, projectile motion, cyclonic motion.
Chapter 6: Gravitation and Central Forces.
5.16,5.17,6.2,6.4,6.5,6.11,6.14 |
02/09/2009 |
|
5 |
Chapter 6: Gravitation and Central Forces. Newton's Law of Universal
Gravitation, fields of spherically symmetric objects, motion in
gravitational fields, Kepler's Laws of Planetary Motion, angular
mmentum conservation and central force fields, orbital
motion in central force fields, Kepler's Second Law of Planetary motions
(Areal law), solution of the equation-of-motion for
central force fields, solutions to the equation-of-motion for gravity (inverse
square force laws).
Test 1 |
02/06/2009 |
|
6 |
Chapter 6: Gravitation and Central Forces.
Solution of the equation-of-motion for
gravity (inverse
square force laws), ellipses, parabolas, and hyperbolas, definitions of
qunatitites used to describe the properties of ellipses (orbits), Kepler's
3rd Law of Planetary Motion (the Harmonic Law), energy equation, centrifugal
potential, effective potential, types of orbits in central force fields,
stability of circular orbits, scattering.
6.15, 6.17, 6.19, 6.24, 6.29, 6.32, 6.33 |
02/20/2009 |
|
7 |
Chapter 6: Gravitation and Central Forces.
Energy equation, centrifugal
potential, effective potential, types of orbits in central force fields,
stability of circular orbits, scattering. Chapter 7: Systems of Particles,
center-of-mass.
7.1,7.2,7,3,7.5,7.11,7.12,7.13 |
02/27/2009 |
|
8 |
Chapter 7: Systems of Particles.
Center-of-Mass, equation-of-motion and torque on a system of particles,
momenta, angular momenta, and kinetic energy of a sytem of particles. The
reduction of the two-body problem to a one-body problem, the
three-body problem. The
dynamics and moment-of-inertia of rigid bodies. Particle collisions, the
center-of-momentum frame, elastic vs. inelastic collisions, the
coefficient of restitution, the rocket problem.
7.14,7.15,7.16,7.23,7.28 |
03/06/2009 |
9 |
Chapter 7: Systems of Particles.
Particle collisions, the
center-of-momentum frame, elastic vs. inelastic collisions, the
coefficient of restitution, the rocket problem. Chapter 10: Lagrange Dyanmics:
Virtual work, virtual displacements, generalized coordinates and
displacements, constraints
(holonomic versus nonholonomic constraints).
Test 2 |
03/04/2009 |
|
10 |
Chapter 10: Lagrange Dyanmics: Dynamic equilibrium, virtual work, generalized
coordinates and displacements, d'Alembert's Principle, Euler-Lagrange equations,
generalized force, momentum, Hamilton's Principle, First integrals of the
Euler-Lagrange formula, ignorable or cyclic coordinates and their consequences,
the Hamiltonian and its physical meaning.
Chapter 8 & 9: Rigid Body Motion. Moment-of-Inertia tensor, Parallel Axis Theorem.
8.12,8.15,8.19,10.4,10.6,10.12,10.14 |
Not collected |
|
|
