How Does Touching a Violin String Affect Its Frequency?

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SUMMARY

The discussion focuses on the effect of touching a violin string on its frequency, specifically analyzing a string of length 0.33m and mass 50g under a tension of 40N. When the player touches the string at a distance of L/3, it creates a node, effectively dividing the string into two segments. The fundamental frequency is calculated using the equation f1 = 1/2L sqrt[F/μ], where μ represents the mass per unit length, leading to a new effective length of 0.22m for the vibrating portion of the string.

PREREQUISITES
  • Understanding of wave mechanics and harmonic frequencies
  • Familiarity with the equation for fundamental frequency in string instruments
  • Knowledge of tension and mass per unit length in physics
  • Basic principles of nodes and antinodes in wave behavior
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  • Explore the concept of harmonic frequencies in string instruments
  • Learn about the impact of tension on string vibration frequencies
  • Research the calculation of mass per unit length (μ) for different materials
  • Investigate the effects of altering string length on pitch and frequency
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Musicians, physics students, and string instrument makers interested in understanding the principles of sound production and frequency modulation in stringed instruments.

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[SOLVED] Violin String and Waves

1. A violin string of length 0.33m and mass 50g is under a tension of 40N. A violin player touches the string a distance L/3 from one end, which produces a node at that point. What is the lowest frequency that can now be produced on the string?
2. I have several equations but they involve the funamental frequency
3. I tried solving this problem using the equation f1= 1/2L sqrt[F/mew] where mew is the mass per unit length. For the L i used 0.33- 0.33/3 to get 0.22m. This is the part I am not sure about. Is this the new length or is something else up. Thanks!b]
 
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There are effectively two strings now, with the same T/mew ratio. The lowest note would be the fundamental harmonic of the longer portion.
 
great, so i did it right. Thanks!
 

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