Problem Set 4

• Course Home
• Syllabus
• Unit I: Vibrations

  • Periodic Phenomena
  • Damped Free Oscillations
  • Problem Set 1
  • Forced Oscillations 1
  • Forced Oscillations 2
  • Problem Set 2
  • Coupled Oscillators
  • Driven Coupled Oscillators
  • Problem Set 3
• Unit II: Waves

  • Many Coupled Oscillators & Wave Equations
  • Traveling & Standing Waves
  • Normal Modes in Sound and Music
  • Problem Set 4
  • Exam Review 1
  • Fourier Analysis
  • Dispersion, Phase Velocity, & Group Velocity
  • Problem Set 5
• Unit III: Electromagnetic Waves

  • Deriving Electromagnetic Waves
  • Generating EM Waves, Energy, Scattering
  • Problem Set 6
  • Doppler Effect, Sound, EM Radiation
  • Electromagnetic Waves and Conductors
  • Wave Guides & Resonant Cavities
  • Problem Set 7
• Unit IV: Applications

  • Interactions of Light with Nonconductors
  • Problem Set 8
  • Exam Review 2
  • Interference
  • Diffraction
  • Rainbows and Other Optical Phenomena
  • Problem Set 9
  • Farewell Special
• Final Exam
• Problem Solving Help Videos
• Download Course Materials

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 Problem Topics

Traveling pulse (transverse velocity and tension) Traveling pulse (speed and direction) Pulse reflection at a boundary Boundary conditions on a string Boundary conditions in a pipe Normal modes of discrete vs. continuous systems Piano galore Holes in woodwind instruments Pianos can talk back

Problem Set and Solutions

• Problem Set 4 (PDF)
• Solutions to Problem Set 4 (PDF)

Problem Solving Help Videos

• Watch the following help session by Prof. Wit Busza
  • {'English - US': '/courses/physics/8-03sc-physics-iii-vibrations-and-waves-fall-2012/unit-ii-waves/pset-4/traveling-waves-without-damping/uyofLz9Dtuw.srt'}Traveling Waves without Damping (01:18:40)

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    Traveling Waves without Damping

    > Download from iTunes U (MP4 - 171MB)

    > Download from Internet Archive (MP4 - 171MB)

    > Download this transcript - PDF (English - US)

    > Download English - US subtitle (SRT)

• Watch {'English - US': '/courses/physics/8-03sc-physics-iii-vibrations-and-waves-fall-2012/unit-ii-waves/pset-4/exam-review-1-lecture-10/ocw-8.03-lec10-mit-220k.srt'}Exam Review 1 (Lecture 10) (01:16:46)

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  Exam Review 1 (Lecture 10)

  > Download from iTunes U (MP4 - 140MB)

  > Download from Internet Archive (MP4 - 140MB)

  > Download this transcript - PDF (English - US)

  > Download English - US subtitle (SRT)

  with Prof. Walter Lewin. The most relevant topics for Problem Set 4 are:
  • Continuous media: wave equation
  • Waves passing between two media

Reference Materials

• Formula sheet (PDF)

 

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