The heaviest string on an electric guitar has a linear

Chapter 17, Problem 17.14

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The heaviest string on an electric guitar has a linear density of 5.28 103 kg/m and is stretched with a tension of 226 N. This string produces the musical note E when vibrating along its entire length in a standing wave at the fundamental frequency of 164.8 Hz. (a) Find the length L of the string between its two fixed ends (see Figure 17.17a). (b) A guitar player wants the string to vibrate at a fundamental frequency of 2 164.8 Hz 329.6 Hz, as it must if the musical note E is to be sounded one octave higher in pitch. To accomplish this, he presses the string against the proper fret before plucking the string. Find the distance L between the fret and the bridge of the guitar (see Figure 17.17b).

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