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Next: Chapter 19: Problem 48 Up: Waves and OpticsSolutions Previous: Chapter 19: Problem 33

Chapter 19: Problem 40

Question: A nylon guitar string has a linear mass density of tex2html_wrap_inline453 and is under tension of tex2html_wrap_inline455. The fixed supports are are tex2html_wrap_inline457 apart. The string is vibrating in the standing wave pattern shown in Fig.32 (3 antinodes). Calculate

  1. Wave speed.
  2. Wavelength
  3. Frequency of the component waves whose superposition gives rise to this vibration.

Solution: The wave speed can be computed from the relation tex2html_wrap_inline459. From the diagram, we see that tex2html_wrap_inline461, which gives tex2html_wrap_inline463. The frequency is therefore tex2html_wrap_inline391, tex2html_wrap_inline467.



Martin Savage
Tue Jan 12 17:39:44 PST 1999