PHYS 224 Introductory Physics III (2007 Fall)

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Review Summary

This page will be updated after each lecture. A lecture-by-lecture summary is also available. Topics marked [No exam] will not appear in exams & quizzes.

  • TOPIC 1: Intro/Review of Periodic Motion [F1, Y13]
    • 1.1 Review of Definitions [Lect02]
    • 1.2 Review of Simple Harmonic Motion [Lect02]
      • 1.2a Horizontal Mass on a Spring [Lect02]
    • 1.3 SHM & Circular Motion [Lect02]
      • 1.3a Body on a String in Uniform Circular Motion [Lect03]
      • 1.3b Summary so far.. [Lect03]
    • 1.4 The Inclusion of Phase [Lect03]
      • 1.4a What value do I give φ? [Lect03]
    • 1.5 Energy in SHM [Lect03]
    • 1.6 Some Examples [Lect04]
      • Vertical Springs [Lect04]
      • Coiled Springs [Lect04]
      • Vibration of Molecules [Lect04]
      • Stretching, Shearing & Squeezing: The Elastic Moduli [Lect05]
        • Stretching or Compressing in 1-D: Young's Modulus [Lect05]
        • Shears & Torques: The Shear Modulus [Lect05]
        • Twisting Strips, Tubes & Rods & The Shear Modulus [Lect05]
        • Squeezing Solids & Liquids [Lect05]
        • Squeezing Gases Isothermally [Lect05]
        • Squeezing Gases Adiabatically [Lect05]
        • Elastic Moduli Summary [Lect05]
      • LC Electric Circuit [Lect05]
      • The Pendulum [Lect06]
        • The Physical Pendulum [Lect06]
    • 1.7 SHM, Circular Motion & Complex Numbers [Lect07]
      • The Complex Exponential & Euler's Relationship [Lect07]
  • TOPIC 2: Free Vibrations with Damping [F3]
    • 2.1 Introduction to Damping in Physical Systems [Lect08]
    • 2.2 Under-Damped Systems [Lect08]
      • Example: An LCR Circuit [Lect09]
    • 2.3 Critically-Damped Systems [Lect09]
    • 2.4 Over-Damped Systems [Lect09]
    • 2.5 The Q-factor [Lect09]
    • 2.5 The Story of Far.... [Lect09]
  • TOPIC 3: Forced Vibrations and Resonance [F4]
    • 3.1 Introduction to Forced Vibration of an Harmonic Oscillator [Lect10]
    • 3.2 Undamped Forced Oscillations [Lect11]
    • 3.3 Forced Oscillation with Damping [Lect12]
      • 3.3a Review of Derivation & Geometry on the Complex Plane [Lect12]
    • 3.4 Resonance in terms of the Q-Factor [Lect12]
    • 3.5 Power in Forced Oscillations [Lect13]
    • 3.6 Examples of Resonance [Lect13]
  • TOPIC 4: Superposition of Periodic Motion [F4]
    • 4.1 Superposition of Equal Frequencies in 1-D [Lect13]
      • 4.1a Equal Freq., Different Amplitude & Phase [Lect13]
      • 4.1b Equal Freq., Equal Amplitude, but Different Phase [Lect14]
      • 4.1c Superposition of Multiple Vibrations of the Same Frequency [Lect14]
    • 4.2 Superposition of Different Frequencies in 1-D [Lect14]
      • 4.2a Beats [Lect14]
      • 4.2b Transient Phenomena in Forced Oscillations [Lect15]
    • 4.3 Superposition of Frequencies in 2-D [Lect15]
      • 4.3a Lissajous Figures [Lect15]
  • TOPIC 5: Coupled Oscillators & Normal Modes [F5 & 6]
    • 5.1 Two Coupled Pendula [Lect16]
    • 5.2 Normal Modes & Frequencies [Lect16]
    • 5.3 Superposition of Normal Modes [Lect16] [Lect19]
      • 5.3a Normal Coords, Normal Modes, Degrees of Freedom [Lect19]
      • 5.3b Cartoon Version of the Superposition of Normal Modes [Lect19]
      • 5.3c Eigenvectors and Eigenvalues [Lect19 [No exam]]
    • 5.4 Other Examples of Coupled Systems [Lect19]
    • 5.5 Forced Vibration/Resonance [Lect20]
      • 5.5a The Effects of Damping [Lect20]
    • 5.6 Multiple Coupled Oscillators [Lect20]
    • 5.7 Very Large N & Continous Systems [Lect21]
      • 5.7a Normal Modes for Very Large N [Lect21]
      • 5.7b Normal Modes for Continuous Systems [Lect21]
      • 5.7c Free Vibrations of a Stretched String: Wave Equation [Lect21, 22]
      • 5.7d Aside on Equations involving Div Grad's [Lect22 [No exam]]
    • 5.8 The Effects of the Boundary Conditions [Lect23]
      • 5.8a A Longitudinal "train" of Masses Coupled by Springs [Lect23]
      • 5.8b Longitudinal Vibrations in a Metal Rod [Lect23]
      • 5.8c Vibrations of Air Columns [Lect23]
      • 5.8d Back to Transverse Oscillations [Lect23]
      • 5.8e Boundary Conditions Summary [Lect24]
    • 5.9 Vibrations in 2- and 3-Dimensions [Lect24]
    • 5.10 Superposition in Continuous Systems [Lect24]
      • 5.10a Fourier Analysis [Lect24]
      • 5.10b Introduction to Sound Waves [Lect25]
        • Human Speech [Lect25 [No exam]]
        • Human Hearing [Lect25 [No exam]]
        • The decibel scale [Lect25]
        • The (Western) Musical Scale [Lect26 [No exam]]
  • TOPIC 6: Progressive Waves [F6, Y15,16]
    • 6.1 Standing Waves vs Progressive Waves [Lect27]
      • 6.1a Progressive Waves and the Wave Equation [Lect27]
    • 6.2 Interference, Superposition & Reflection of Travelling Waves [Lect27]
      • 6.2a Pulses & Reflection [Lect27]
    • 6.3 The "Wave Number" [Lect27]
    • 6.4 Forms of the Wave Function of a Progressive Wave [Lect27]
    • 6.5 The speed of Progressive Waves [Lect28]
      • 6.5a Phase & Group Speeds [Lect28]
    • 6.6 The Energy Transfered by Wave Motion [Lect28]
    • 6.7 Waves in 3-D (plus Time) [Lect28]
      • 6.7a The Inverse-Square Law [Lect28]
  • TOPIC 7: EM Waves & Their Propagation [Y32,33]
    • 7.1 Intro to Maxwell's Equations [Lect29]
    • 7.2 Introduction to E.M. Waves [Lect30]
    • 7.3 Sinusoidal, Spherical & Plane E.M. Waves [Lect30]
    • 7.4 E.M. Waves in a Medium [Lect30]
    • 7.5 Energy in E.M. Waves [Lect30]
    • 7.6 Standing E.M. Waves [Lect31]
    • 7.7 Recap of the E.M. Spectrum [Lect31]
    • 7.8 Momentum Transport by E.M. Waves [Lect32]
    • 7.10 Reflection & Refraction
    • 7.11 Dispersion
    • 7.12 Polarization
      • 7.12a Polarizers
      • 7.12b Polarization by Reflection
      • 7.12c Circular & Elliptical Polarization
    • 7.13 Scattering

  • Note I may decide to swap around the ordering & hence numbering of the topics
  • TOPIC 8: Geometric Optics
  • TOPIC 9: Interference and Diffraction
  • TOPIC 10: Waves in Modern Physics -->
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