An "installation musician" wants to create a "singing cable" installation, by hanging masses from tall poles in a windy location, so that when wind blows past the cables, it can excite audible oscillations in the cable. Consider a m = 105 kg mass hanging from one of these poles at the end of a 10 m cable. Consider the ends of the cable where it is attached to the suspending pole and the 105 kg mass to be nodes. If the cable adopted has linear mass density u = 0.184 kg/m, what is the lowest resonant frequency at which this cable can be excited to vibrate? (You can neglect the mass of the cable for the purposes of estimating the tension in the cable.) f : Hz If the lowest frequency that a human can hear is 50 Hz, what is the length that the cable needs to be changed to so that the fundamental tone can be heard? L =

An "installation musician" wants to create a "singing cable" installation, by hanging masses from tall poles in a windy location, so that when wind blows past the cables, it can excite audible oscillations in the cable. Consider a m = 105 kg mass hanging from one of these poles at the end of a 10 m cable. Consider the ends of the cable where it is attached to the suspending pole and the 105 kg mass to be nodes. If the cable adopted has linear mass density u = 0.184 kg/m, what is the lowest resonant frequency at which this cable can be excited to vibrate? (You can neglect the mass of the cable for the purposes of estimating the tension in the cable.) f : Hz If the lowest frequency that a human can hear is 50 Hz, what is the length that the cable needs to be changed to so that the fundamental tone can be heard? L =