13257 4H14 BEE npiazzacom Oscillator P ' _ r Io _ , . ,. 0Q . L . (11) [7 points] A string with length L and linear mass density [1 is driven by a mechanical harmonic oscillator at frequency f to form standing waves. The tension in the string is provided by hanging mass m over the end of a support. The frequency is increased from zero and standing waves are observed at certain frequencies. The lowest frequency is called the fundamental frequency or first harmonic and is identified with n = 1. The fourth harmonic wave pattern (n = 4) is sketched here. (a) Find a symbolic formula for the nth standing wave frequency. Take the following values: 11 = 4-, m = 0.50 kg, L = 1.6 m, u = 0.002 kg/m, and g = 9.81 m/sz. (b) What is the frequency, speed, and wavelength of the traveling wave that makes up the standing wave pattern. (c) Briefly explain how the traveling wave driven by the oscillator results in the standing wave pattern observed. '5' 29%i