Stationary Waves on a vibrating string

?

Harmonics

Image result for fundamental frequency string (http://www.solitaryroad.com/c1031/ole.gif)

1 of 7

Fundamental Frequency

Image result for fundamental frequency string (http://ffden-2.phys.uaf.edu/211_fall2013.web.dir/zachariah_yarbro/Photos/u11l4d1.gif)

  • Fundamental Mode of Vibration -> Fundamental Frequency
  • 1st Harmonic = F0
  • L = λ/2
  • λ = 2L
2 of 7

Second Harmonic

Image result for second harmonic (http://www.physicsclassroom.com/Class/sound/u11l4d3.gif)

  • 2nd Harmonic = 2f0
  • L = λ
  • λ = L
3 of 7

Third Harmonic

Image result for THIRD harmonic (http://www.electronicshub.org/wp-content/uploads/2015/06/66.jpg)

  • 3rd Harmonic = 3f0
  • L = 3λ/2
  • λ = 2L/3
4 of 7

Fourth Harmonic

Image result for fourth harmonic

  • 4th Harmonic = 4F0
  • L = 2λ
  • λ = L/2
5 of 7

Fifth Harmonic

  • Fifth Harmonic = 5F0
  • L = 5λ/2
  • λ = 2K/5
6 of 7

Making Music

A guitar produces sound when it's strings vibrate as a result of being plucked. When a stretched string or wire vibrates, its pattern of vibration is a mix of its first and higher harmonics. The sound produced is the same mix of frequencies which change with time as the pattern of vibration changes. A spectrum analyser can be used to show how the intensity of sound varies with frequency and with time. Combined with a sound synthesiser, the original sound can be altered by amplifying or suppressing different frequency ranges.

7 of 7

Comments

No comments have yet been made

Similar Physics resources:

See all Physics resources »See all Waves resources »