Periodic Oscillations, Harmonic Oscillators
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Lecture Video 1: Periodic Oscillations, Harmonic Oscillators
Typed Notes for Lecture 1 (PDF)
Handwritten Notes for Lecture 1 (PDF - 2.2MB)
Chapter 1: Harmonic Oscillation (PDF - 1.4MB) Problem Set 1 (PDF) Simple Harmonic Motion and Introduction to Problem Solving
Air Cart Between Springs
Mass on a Spring
Two Pendulums with Different Amplitudes
Damped Free Oscillators
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Lecture Video 2: Damped Free Oscillators
Typed Notes for Lecture 2 (PDF)
Handwritten Notes for Lecture 2 (PDF - 2MB)
Chapter 2: Forced Oscillation and Resonance (PDF - 1.3MB) None None
Oscillating Steel Ball on a Track
Physical Pendulum
Damped and Undamped Masses on a Spring
Driven Torsional Balance Oscillator
Driven Oscillators, Transient Phenomena, Resonance
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Lecture Video 3: Driven Oscillators, Transient Phenomena, Resonance
Typed Notes for Lecture 3 (PDF - 1.2MB)
Handwritten Notes for Lecture 3 (PDF - 2.1MB)
Chapter 2: Forced Oscillation and Resonance (PDF - 1.3MB) Problem Set 2 (PDF)
Harmonic Oscillators with Damping
Driven Harmonic Oscillators
Coupled Oscillators without Damping
Driven Cart on Air Track
Driven Mechanical Oscillator
Breaking Glass with Sound
Coupled Oscillators, Normal Modes
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Lecture Video 4: Coupled Oscillators, Normal Modes
Typed Notes for Lecture 4 (PDF)
Handwritten Notes for Lecture 4 (PDF - 2.7MB)
Chapter 3: Normal Modes (PDF - 1.4MB) None None
Double Pendulum
Weighted Hacksaw Blade
Two Rigid Pendulums Coupled with a Spring
Two Pendulums Coupled with a Rod
Wilberforce Pendulum
Beat Phenomena
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Lecture Video 5: Beat Phenomena
Typed Notes for Lecture 5 (PDF - 1.1MB)
Handwritten Notes for Lecture 5 (PDF - 1.7MB)
Chapter 3: Normal Modes (PDF - 1.4MB) Problem Set 3 (PDF) Coupled Oscillators without Damping
Two Rigid Pendulums Coupled with a Spring
Wave Beats
Coupled Tunning Forks
Driven Oscillators, Resonance
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Lecture Video 6: Driven Oscillators, Resonance
Typed Notes for Lecture 6 (PDF - 1.3MB)
Handwritten Notes for Lecture 6 (PDF - 1.5MB)
Chapter 4: Symmetries (PDF - 1.3MB)
Chapter 5: Waves (PDF - 1.4MB) (through section 5.2)
None None
Two Rigid Pendulums Coupled with a Spring
Coupled Air Carts
Symmetry, Infinite Number of Coupled Oscillators
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Lecture Video 7: Symmetry, Infinite Number of Coupled Oscillators
Typed Notes for Lecture 7 (PDF - 1.1MB)
Handwritten Notes for Lecture 7 (PDF - 1.9MB)
Chapter 4: Symmetries (PDF - 1.3MB)
Chapter 5: Waves (PDF - 1.4MB) (through section 5.2)
Problem Set 4 (PDF)
Standing Waves Part I
Standing Waves Part II
Bell Labs Wave Machine
Vibrating Spring (Hand Driven)
Translation Symmetry
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Lecture Video 8: Translation Symmetry
Typed Notes for Lecture 8 (PDF - 1.2MB)
Handwritten Notes for Lecture 8 (PDF - 1.9MB)
Chapter 5: Waves (PDF - 1.4MB) (section 5.3 to end)
Chapter 6: Continuum Limit and Fourier Series (PDF - 1.2MB) (through section 6.1)
None None Bell Labs Wave Machine Wave Equation, Standing Waves, Fourier Series
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Lecture Video 9: Wave Equation, Standing Waves, Fourier Series
Typed Notes for Lecture 9 (PDF - 1.1MB)
Handwritten Notes for Lecture 9 (PDF - 1.7MB)
Chapter 5: Waves (PDF - 1.4MB) (section 5.3 to end)
Chapter 6: Continuum Limit and Fourier Series (PDF - 1.2MB) (through section 6.1)
Problem Set 5 (PDF)
Traveling Waves without Damping
Standing Waves Part I
Standing Waves Part II
Bell Labs Wave Machine
Rijke Tube
Exam 1 (covers Lecture 1 through Lecture 8) (no video)
What you should know:
How to write down Equation of Motion Undamped, under-damped, critically damped, over-damped Driven oscillator, transient behavior and steady state solution, resonance How to determine the unknown coefficients using initial conditions Coupled systems: What are the normal modes? How to solve M-1K eigenvalue problems and what are the full solutions? Driven coupled oscillator, resonance Symmetry & Infinite coupled system: What is the solution of reflection and translation symmetric system? How to determine the dispersion relation ω(k)?
Exam 1 Formula Sheet (PDF)
Practice Exam 1 (PDF)
Practice Exam 1 Solution (PDF)
Traveling Waves
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Lecture Video 10: Traveling Waves
Typed Notes for Lecture 10 (PDF - 1.9MB)
Handwritten Notes for Lecture 10 (PDF - 2.4MB)
Chapter 6: Continuum Limit and Fourier Series (PDF - 1.2MB) (section 6.2 to end)
Chapter 7: Longitudinal Oscillations and Sound (PDF - 1.3MB)
Chapter 8: Traveling Waves (PDF - 1.4MB) (through section 8.2)
None None Bell Labs Wave Machine (Mismatched Impedance) Sound Waves
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Lecture Video 11: Sound Waves
Typed Notes for Lecture 11 (PDF - 1.2MB)
Handwritten Notes for Lecture 11 (PDF - 2.4MB)
Chapter 6: Continuum Limit and Fourier Series (PDF - 1.2MB) (section 6.2 to end)
Chapter 7: Longitudinal Oscillations and Sound (PDF - 1.3MB)
Chapter 8: Traveling Waves (PDF - 1.4MB) (through section 8.2)
Problem Set 6 (PDF) Electromagnetic Waves in a Vacuum
Standing Sound Waves in a Glass Tube
Helium Balloon