Problem Set 5

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• 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

Plucked string Fourier analysis Fourier series Fourier series for a square wave Phase and group velocity in your bathtub Water wave packets Shallow-water waves Why are deep-water waves dispersive? Energy in waves Energy in traveling waves on a string

Problem Set and Solutions

• Problem Set 5 (PDF)
• Solutions to Problem Set 5 (PDF)

Problem Solving Help Videos

• Watch the following help sessions by Prof. Wit Busza
  • {'English - US': '/courses/physics/8-03sc-physics-iii-vibrations-and-waves-fall-2012/unit-ii-waves/pset-5/standing-waves-part-i/X60J__-GMx8.srt'}Standing Waves Part I (00:34:40)

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    Standing Waves Part I

    > Download from iTunes U (MP4 - 76MB)

    > Download from Internet Archive (MP4 - 76MB)

    > Download this transcript - PDF (English - US)

    > Download English - US subtitle (SRT)

  • {'English - US': '/courses/physics/8-03sc-physics-iii-vibrations-and-waves-fall-2012/unit-ii-waves/pset-5/standing-waves-part-ii/U_C7xW_gCfI.srt'}Standing Waves Part II (00:53:17)

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    Standing Waves Part II

    > Download from iTunes U (MP4 - 117MB)

    > Download from Internet Archive (MP4 - 117MB)

    > 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-5/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 5 are:
  • Energy in waves
  • Normal modes of continuous media: standing waves

• Watch {'English - US': '/courses/physics/8-03sc-physics-iii-vibrations-and-waves-fall-2012/unit-ii-waves/pset-5/exam-review-2-lecture-19/ocw-8.03-lec19-mit-220k.srt'}Exam Review 2 (Lecture 19) (01:20:24)

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  Exam Review 2 (Lecture 19)

  > Download from iTunes U (MP4 - 151MB)

  > Download from Internet Archive (MP4 - 151MB)

  > Download this transcript - PDF (English - US)

  > Download English - US subtitle (SRT)

  with Prof. Walter Lewin. The most relevant topics for Problem Set 5 are:
  • Traveling wave on a string
  • Standing wave energy on a string

Reference Materials

• Formula sheet (PDF)

 

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