The 64.0-cm-long string of a guitar has a fundamentalfrequency of 330 Hz when it

Chapter 18, Problem 22

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The 64.0-cm-long string of a guitar has a fundamentalfrequency of 330 Hz when it vibrates freely along its entire length. A fret is provided for limiting vibration tojust the lower two-thirds of the string. (a) If the string ispressed down at this fret and plucked, what is the newfundamental frequency? (b) What If? The guitarist canplay a natural harmonic by gently touching the stringat the location of this fret and plucking the string atabout one-sixth of the way along its length from theother end. What frequency will be heard then?

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