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(3:3) The Wave Equation: Consequences (Walter Lewin, MIT)

 

(1:3) The Wave Equation: Consequences (Walter Lewin, MIT)

 

(2:3) The Wave Equation: Consequences (Walter Lewin, MIT)

 

Lec 1 Vibrations and Waves

Periodic Phenomena (Oscillations, Waves) - SHO - Complex Notation - Differential Equations - Physical Pendulum

Lec 3 Vibrations and Waves

Forced Oscillations with Damping

Lec 4 Vibrations and Waves

Forced Oscillations - Power at Resonance (Resonance Absorption, Resonance Width, Quality Q) - Transient Phenomena (General Solutions including Initial Conditions)

Lec 5 Vibrations and Waves

Coupled Oscillators

Lec 2 Vibrations and Waves

Beats - Damped Free Oscillations (Under- Over- and Critically Damped) - Quality Q

Lec 6 Vibrations and Waves

Driven Coupled Oscillators - Triple Pendulum - Steady State and Transient Solutions - Cramer's Rule

Lec 7 Vibrations and Waves

Many Coupled Oscillators - Wave Equation - Transverse Traveling Pulses and Waves

Lec 8 Vibrations and Waves

Traveling Waves - Boundary Conditions - Standing Waves - Sound (Longitudinal Waves) - Energy in Waves

Lec 9 Vibrations and Waves

Musical Instruments - Sound Cavities - Normal Modes

Lec 10 Vibrations and Waves

Exam 1 Review

Lec 13 Vibrations and Waves

Electromagnetic Waves - Plane Wave Solutions to Maxwell's Equations - Polarization - Malus' Law

Lec 14 Vibrations and Waves

Accelerated Charges - Poynting Vector - Power - Rayleigh Scattering - Polarization

Lec 15 Vibrations and Waves

Doppler Effect - Sound - EM Radiation - Binary Stars - Neutron Stars and Black Holes - Expanding Universe

Lec 12 Vibrations and Waves

Dispersion - Phase Velocity - Group Velocity

Lec 11 Vibrations and Waves

Fourier Analysis - Time Evolution of Pulses on Strings

Lec 16 Vibrations and Waves

Boundary Conditions at Perfect Conductors - Reflection - Standing EM Waves - Transmission Lines - Radiation Pressure

Lec 17 Vibrations and Waves

Wave Guides - Resonance Cavities of EM-radiation and Sound

Lec 18 Vibrations and Waves

Boundary Conditions for Dielectrics - Index of Refraction - Snell's Law - Total Internal Reflection - Fresnel Equations - Brewster Angle

Lec 19 Vibrations and Waves

Exam 2 Review

Lec 20 Vibrations and Waves

Huygens' Principle - Interference - Thin films - Soap - Oil - Light (double slit interference)

Lec 23 Vibrations and Waves

Farewell Special - Bring a Friend!

Lec 22 Vibrations and Waves

Rainbows - Haloes - Coronae - Glories
Bring a friend and an umbrella! A rainbow will appear! - The Physics behind the Mystery Picture will be revealed.

Lec 21 Vibrations and Waves

Diffraction - Gratings - Pin Holes - Angular Resolution

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