# Resource Index

This resource index gives users access to most of the course resources in a single location.

## Instructor Insights

INSTRUCTOR INSIGHTS ﻿VIDEOS﻿
• Students’ Common Misconceptions
• Making Time for Individual Questions in a Large Lecture
• Using Humor to Enhance Learning
• Using Demonstrations in Class
• Behind-the-Scenes Demo Prep
• Taking a Vote to Engage Learners
• Combining Chalk Talks and Slides in a Complementary Way
• Using Questionnaires to Customize Course Content
• The Role of Recitations
• Course Iteration: Incorporating Theoretical Content and Demonstrations
• Tips for Physics Educators

## Part I: Mechanical Vibrations and Waves

TITLE LECTURE VIDEOS LECTURE NOTES TEXTBOOK READINGS PROBLEM SETS PROBLEM SOLVING HELP VIDEOS* IN-CLASS DEMONSTRATIONS
Periodic Oscillations, Harmonic Oscillators Lecture Video 1: Periodic Oscillations, Harmonic Oscillators

Typed Notes for Lecture 1 (PDF)

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 Lecture Video 2: Damped Free Oscillators

Typed Notes for Lecture 2 (PDF)

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 Lecture Video 3: Driven Oscillators, Transient Phenomena, Resonance 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 Lecture Video 4: Coupled Oscillators, Normal Modes

Typed Notes for Lecture 4 (PDF)

Chapter 3: Normal Modes (PDF - 1.4MB) None None

Double Pendulum

Two Rigid Pendulums Coupled with a Spring

Two Pendulums Coupled with a Rod

Wilberforce Pendulum

Beat Phenomena Lecture Video 5: Beat Phenomena 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 Lecture Video 6: Driven Oscillators, Resonance

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 Lecture Video 7: Symmetry, Infinite Number of Coupled Oscillators 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 Lecture Video 8: Translation Symmetry

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 Lecture Video 9: Wave Equation, Standing Waves, Fourier Series

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)?

Practice Exam 1 (PDF)

Traveling Waves Lecture Video 10: Traveling Waves

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 Lecture Video 11: Sound Waves

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

## Part II: Electromagnetic Waves

TITLE LECTURE VIDEOS LECTURE NOTES TEXTBOOK READINGS PROBLEM SETS PROBLEM SOLVING HELP VIDEOS* IN-CLASS DEMONSTRATIONS
Maxwell's Equation, Electromagnetic Waves Lecture Video 12: Maxwell's Equation, Electromagnetic Waves

Chapter 8: Traveling Waves (PDF - 1.4MB) (section 8.3 to end)

Chapter 9: The Boundary at Infinity (PDF - 1.3MB) (through section 9.2)

None Electromagnetic Waves in a Vacuum None
Dispersive Medium, Phase Velocity, Group Velocity Lecture Video 13: Dispersive Medium, Phase Velocity, Group Velocity

Chapter 8: Traveling Waves (PDF - 1.4MB) (section 8.3 to end)

Chapter 9: The Boundary at Infinity (PDF - 1.3MB) (through section 9.2)

Problem Set 7 (PDF) Accelerated Charges Radiating Electromagnetic Waves Bell Labs Wave Machine
Fourier Transform, AM Radio Lecture Video 14: Fourier Transform, AM Radio Chapter 10: Signals and Fourier Analysis (PDF - 1.4MB) None None None
Uncertainty Principle, 2D Waves Lecture Video 15: Uncertainty Principle, 2D Waves Chapter 10: Signals and Fourier Analysis (PDF - 1.4MB) Problem Set 8 (PDF) Interference of Electromagnetic Waves Chladni Figures (Speaker Driven)
2D and 3D Waves, Snell’s Law Lecture Video 16: 2D and 3D waves, Snell’s Law

Chapter 11: Two and Three Dimensions (PDF - 1.8MB)

Chapter 12: Polarization (PDF - 1.4MB) (through section 12.3)

None None

Oscillating Soap Film

## Part III: Optics

TITLE LECTURE VIDEOS LECTURE NOTES TEXTBOOK READINGS PROBLEM SETS PROBLEM SOLVING HELP VIDEOS* IN-CLASS DEMONSTRATIONS
Polarization, Polarizer Lecture Video 17: Polarization, Polarizer

Chapter 11: Two and Three Dimensions (PDF - 1.8MB)

Chapter 12: Polarization (PDF - 1.4MB) (through section 12.3)

None None

Total Internal Reflection

Fiber Optic Bundle

Polarization of Microwaves

Exam 2 (covers Lecture 9 through Lecture 16) (no video)

What you should know:

• How to use infinite system to solve finite system
• Continues limit: Wave equations!
• Solutions to wave equations: Normal modes (Progressing wave solutions standing waves)
• Matching the boundary of two systems: Reflection and transmission
• Longitudinal waves: Spring waves and sound waves
• EM waves: How to calculate electric field and magnetic field from one another, standing EM waves, energy density and Poynting vector
• Dispersive medium: Dispersive relation, Fourier transform, AM radio and Uncertainty Principle
• 2D and 3D waves: Normal modes, Snell’s Law

Practice Exam 2 (PDF)

Wave Plates, Radiation Lecture Video 18: Wave Plates, Radiation Chapter 12: Polarization (PDF - 1.4MB) (section 12.4 to end) None None

Polarizing Filters and Light

Polarization in a Sugar Solution

Polarization of Radio Waves (Dipole Antenna)

Waves in Medium Lecture Video 19: Waves in Medium Chapter 12: Polarization (PDF - 1.4MB) (section 12.4 to end) Problem Set 9 (PDF) None Brewster's Angle
Interference, Soap Bubble Lecture Video 20: Interference, Soap Bubble

Typed Notes for Lecture 20 (PDF)

Chapter 13: Interference and Diffraction (PDF - 1.6MB) Problem Set 10 (PDF)

Interference of Electromagnetic Waves

Reflection off Soap Bubbles

Reflection off a Soap Film

Phased Radar, Single Electron Interference Lecture Video 21: Phased Radar, Single Electron Interference Chapter 13: Interference and Diffraction (PDF - 1.6MB) None None

Ripple Tank (Interference of Two Point Sources)

Moiré Pattern

Single-Slit Diffraction with a Laser

Diffraction, Resolution Lecture Video 22: Diffraction, Resolution

Typed Notes for Lecture 22 (PDF)

Chapter 13: Interference and Diffraction (PDF - 1.6MB) None None Single-Slit Diffraction with a Laser
Quantum Waves and Gravitational Waves Lecture Video 23: Quantum Waves and Gravitational Waves None None None None
Review for Final Exam Lecture Video 24: Review for Final Exam None None None None None

## Final Exam (covers Lecture 1 through Lecture 23)

FORMULA SHEET PRACTICE FINAL EXAMS SOLUTIONS
Final Exam Formula Sheet (PDF)

Practice Final Exam 1 (PDF)

Practice Final Exam 3 (PDF)

* Note: This Problem Solving Help video was originally produced as part of a physics course that is no longer available on OCW.