he fundamental frequency of a vibrating system is 381 Hz. For each of the following systems, give the lowest frequency (excluding the fundamental) at which standing waves can occur: (a) a cylindrical pipe with both ends open and (b) a cylindrical pipe with only one end open

A A-string on a particular guitar has a circular cross-section with a diameter of 0.914 mm. The vibrating length of the string is 65.0 cm.   (1) If the density of the string is 7,600 kg/m3, find the mass per unit length of the string.   (2) For the string to be in tune, it should have a natural frequency of 110.00 Hz. Find the tension in the string that produces this natural frequency.  (3) Assuming that the guitar string is in tune, find the frequency and wavelength of the 5th harmonic.

Suppose the strings on a violin are stretched with the same tension and each has the same length between its two fixed ends. The musical notes and corresponding fundamental frequencies of two of these strings are G (196.0 Hz) and E (659.3 Hz). The linear density of the E string is 7.74 x 10-4 kg/m. What is the linear density of the G string?

A guitar string has an overall length of 2.0 m and a total mass of 35.2 g before it is strung on a guitar. Once on the guitar, however, there is a distance of 85 cm between its fixed end points. It is tightened to a tension of 345 N. (a) What is wave speed for waves on the tightened string?  (b) What are the wavelength and frequency of the traveling waves that interfere to form the fundamental and second harmonic standing waves on the string? Sketch standing wave patterns of both harmonic in this string.

A string that is stretched between fixed supports separated by 51.4 cm has resonant frequencies of 792.0 and 594.0 Hz, with no intermediate resonant frequencies. What are (a) the lowest resonant frequency and (b) the wave speed?