Date | Lecture notes
|
Review from 325
| Harmonic oscillators 1
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| Harmonic oscillators 2
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Aug. 28
| The coupled harmonic oscillator problem
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Aug. 30
| Coupled oscillators: General strategy for finding normal modes
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Sept. 4
| Coupled oscillators: Massless oscillator and general formalism for coupled oscillators
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Sept. 6
| Coupled oscillators: General formalism cont'd and the double pendulum
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Sept. 11
| Coupled oscillators: DC modes
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Sept. 13
| Coupled oscillators: Inner Product Spaces
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Sept. 18
| Coupled oscillators: The inner product of normal modes, normal coordinates
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Sept. 20
| Coupled oscillators: Normal coordiantes and transformation matrices
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Sept. 25
| Coupled oscillators: Normal coords cont'd, driving forces (from Prof Hooberman)
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| Alternative notes from Prof MacDougall
|
Sept. 27
| The central force problem: Lagrangian in reduced mass coords
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Oct. 2
| The central force problem: effective potential, orbits and Kepler's laws
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Oct. 4
| The central force problem: the path equation and solution for the Kepler problem
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Oct. 9
| The central force problem: impact factor and the capture cross section
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Oct. 16
| The central force problem: solid angle and the differential cross-section
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Oct. 18
| The central force problem: scattering basics, luminosity, and hyperbolae
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Oct. 23
| Rotation of Rigid Bodies: the inertia tensor and principle axes
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Oct. 25
| Rotation of Rigid Bodies: example problems- the uniform cube, spin the stick and kick the triangle
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Oct. 30
| Rotation of Rigid Bodies: lab vs body coordinates, example problems, and the Euler equations
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Nov. 1
| Rotation of Rigid Bodies: rotational stability, and the free symmetric top (in body frame)
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Nov. 6
| Rotation of Rigid Bodies: free symmetric top (in lab frame), and the Euler angles
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| Euler angles slide
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Nov. 8
| Rotation of Rigid Bodies: free symmetric top using Euler angles
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Nov. 13
| General Relativity: equivalence principle, light bending, Doppler shift and time dilation
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Nov. 15
| General Relativity: time dilation cont'd, Haefele-Keating experiment, and spacetime metrics
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Nov. 27
| General Relativity: axioms of GR and the Schwarzschild metric
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Dec. 4
| General Relativity: Schwarzschild coordinates, local time and local distance
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Dec. 6
| General Relativity: the Schwarzschild radius, geodesics and the GR Lagrangian
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Dec. 11
| General Relativity: the Schwarzschild Lagrangian, constants of motion, and modifications to the planetary motion equation
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