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May 14 |
Newtonian mechanics-single particle
L#1. Newton's laws
of motion. Equations of motion in cartesian and polar
coordinates. Linear motion in a force field. Linear constrained
motion. |
Reading Taylor
Ch. 1, Ch.2, Ch.3.1, 3.4, Ch. 4.1-4.8 |
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May 16 |
L#2. Basic
concepts of mechanics: inertial frames, work, kinetic and
potential energy, conservative forces, impulse of force, laws of
conservation of linear and angular momenta, energy law. |
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May 18 |
L#3. General
linear motion. Energy diagrams. |
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May 21 |
L#4 Friction
phenomena in a viscous medium and between solid bodies. |
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May 23 |
Oscillations
L#5 Simple
harmonic oscillator. |
Reading Taylor
Ch. 5.1-5.8 |
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May 25 |
L#6 Damped
oscillations. |
Homework #1 is due |
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May 28 |
Holiday |
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May 30 |
L#7 Oscillator
driven by external sinusoidal force. |
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June 1 |
L#8 Fourier series.
Plane pendulum. |
Homework #2
is due |
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June 4 |
Quiz #1 |
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June 6 |
Central force motion
L#9 Two-body central force motion. |
Reading Taylor Ch. 8 |
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June 8 |
L#10 Equation for
the orbit in the attractive inverse square field. Path
parameters. Bounded Kepler orbits. Kepler's laws of planetary motion. |
Homework #3 is due |
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June 11 |
L#11 Unbounded Kepler orbits.
Binary stars. Space travel-Hohmann
transfer orbits. |
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June 13 |
L#12 Scattering in
a central field: collision parameter, its relation to the
scattering angle and the formula for differential cross section.
Rutherford's scattering cross section. |
Reading Taylor Ch. 14.1-14.6 |
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June 15 |
Gravitation
L#13 The law of gravitation. Gravitation by a distribution of
mass. The principle of equivalence of inertial and gravitational
masses.
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Homework #4 is due |
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June 18 |
Multi-particle systems
L#14 Center of mass. Linear momentum of many-body system. Rocket motion. |
Reading Taylor 1.5, 3.2, 3.3, 3.5,
4.9-4.10, 10.1-10.2 (1st part) |
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June 20 |
L#15 Angular
momentum of the many-body system. |
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June 22 |
L#16 Energy law of
many-body system. |
Homework #5 is due, |
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June 25 |
L#17 Degrees of freedom. Integrable
mechanical systems |
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June 27 |
Quiz #2 |
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June 29 |
Collision theory
L#18 Elastic and
Inelastic collisions. Collisions processes as viewed in
center-of-mass and laboratory coordinate systems |
Reading Taylor 14.7-14.8
Homework #6 is due |
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July 2 |
L#19 Two-body
scattering cross section |
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July 4 |
Holiday |
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July 6 |
Motion in noninertial reference frame
L#20 Newton’s
equations in a rotating coordinate system |
Reading Taylor Ch.9
Homework #7 is due |
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July 9 |
L#21 Motion on the
rotating Earth |
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July 11 |
Mechanics of rigid bodies
L#22 Rigid body in
planar motion. |
Reading Taylor Ch.10 |
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July 13 |
L#23 Rotation about a point. Tensor of inertia. |
Homework #8 is due |
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July 16 |
L#24 Principal axes of inertia |
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July 18 |
Quiz #3 |
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July 20 |
L#25 Torque-free
motion of a rigid body. Euler angles. |
Homework #9
is due (Note: Isphere=(2/5)mR2) |
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July 23 |
L#26 Euler's
equations for rigid body |
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July 25 |
L#27 Motion of the
heavy symmetric top |
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July 27 |
L#28 Review |
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July 30, 2:50-5:40
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Final
exam |
Course
Survey |
