A guitar string’s third harmonic has a frequency of 450-Hz. What would be its fundamental  frequency? (b) How would pushing down on a fret, which effectively shortens the string’s length by  25%, change the fundamental frequency?

A string 3.00 m long and fixed at both ends is vibrating in its third harmonic. The maximumdisplacement of any point on the string is 4.00 mm. The speed of transverse waves on this string is 50.0 m/s. (a)What is the wavelength of this wave? (b) What is the frequency of this wave?

A 1.6 m long string fixed at both ends vibrates at resonant frequency of 780 Hz and 1040 Hz, with no other resonant frequency between these values. The tension in the string is 1200 N. (a) Calculate the fundamental frequency of the string. (b) Calculate the mass of the string.