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Music Physics Schedule for the Week Ahead

Explore the fascinating world of music physics through labs and assignments. From waves on stringed instruments to harmonic series analysis, delve into the science behind sound creation. Remember to submit Labs 4 and 5 by Friday!

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Music Physics Schedule for the Week Ahead

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  1. The Week Ahead… Mon: Waves on stringed instruments (lab 4) Tues: Oscillations in wind instruments (lab 5) Wed: No class; work on your labs and hw assignment Thur: Harmonic Series Analysis (lab 6) Fri: Fun demos! DUE DATES: Labs 4 and 5 due Friday at beginning of class. HW 1 due Friday, 5pm

  2. Standing Waves: Modes of Oscillation and Harmonic Series

    Phys/Mus 102 Spring 2014
  3. Resonance Every oscillating system has a natural frequency. Force on object occurs exactly in phase with the displacement, leading to a “build up” of maximal displacement.
  4. Key terms Resonance Reflection, fixed end, free end Superposition Standing wave Node/anti-node Harmonic series Mersenne’s Law Chladni pattern
  5. Reflection Hard Boundary/Fixed End Phase change! Soft boundary/Free End  No phase change
  6. Standing Waves Result from superposition of incident waves and reflected waves Only certain wavelengths/frequencies are allowed!
  7. Harmonic Series f1, 1st harmonic (fundamental) f2, 2ndharmonic f3, 3rdharmonic
  8. A few more in the series… Question: What will you hear if you touch your finger to the middle of the string?
  9. The overtone series notes
  10. Mersenne’s Law f1= fundamental frequency L = length of string T = tension in string m = mass per unit length of string
  11. Mersenne’s Law Generalized Nth harmonic occurs at frequency: N = 1 = first harmonic N = 2 = second harmonic N = 3 = third harmonic …

  12. Chladni Patterns

    What happens with more complex objects: Pianos, Drums, Guitars, Violins, etc?
  13. Modes on Guitar String
  14. More Chladni Patterns (Guitar!) Instruments with complex structures have harmonic series/ resonance frequencies too!
  15. Guitar Bracing
  16. Chladni Patterns (Drums!) Animations courtesy of Dan Russel, Kettering University.
  17. Piano soundboard modes
  18. Chladni Patterns (Violin!)
  19. Image/Animation Sources http://www.foreverparenting.com/1336/summer-fun-now-with-more-learning/ http://www.maestromindsguitarschool.com/guitar_website/Tools%20and%20Articles/guide_to_buying_your_first_guitar.html http://hep.physics.indiana.edu/~rickv/Standing_Waves_on_String.html http://www.animations.physics.unsw.edu.au/waves-sound/standing-waves/index.html Berg and Stork, Physics of Sound, 3rd ed. http://www.phys.unsw.edu.au/~jw/guitar/guitarchladni_engl.html http://vanadium.rollins.edu/~tmoore/piano_soundboard.htm http://www.speech.kth.se/music/5_lectures/conklin/howdoes.html http://thecraftsmanspath.com/2008/04/06/dreadnought-guitar-bracing-the-top/
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