Problems on standing waves on a string

S19 A guitar string is 70 cm long and has a mass per unit length of 5 x 10-4 kg/m. It is held between the two frets with a tension of 100 N.
a.) What happens to the fundamental frequency and higher harmonics when the string is loosened?
b.) What happens to the fundamental frequency and the higher harmonics when the string is fingered, reducing its effective length by a factor of two?
c.) Sketch the shape of the string for the fundamental, and second and third harmonics?
d.) What is the frequency of the second harmonic?

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Last updated: 11 Oct 1999
Comments: bland@indiana.edu