Question: After reading the chapter on superposition and standing waves, you decide to design a special wind chime. It consists of three light wires, of

After reading the chapter on superposition and standing waves, you decide to

After reading the chapter on superposition and standing waves, you decide to design a special wind chime. It consists of three light wires, of linear mass density, and three heavy objects, each of mass M = 2.20 kg, as shown in the figure. L M La M Ls M The entire system is suspended from the ceiling. When the wind blows, it sets all three wires into vibration. You want the system to play a C major chord in the just scale, with the upper wire of length L = 46.0 cm having a frequency of middle C in the equal-tempered scale, f = 261.6 Hz. In the just scale, musical intervals between two notes are defined by frequencies of the notes whose ratios = The third are those of small whole numbers. In a C major chord, the first note in the chord is C and the second note is E. In the just scale, the ratio of the frequencies in the C-E interval is note in the C major chord is G, so the chord also contains a C-G interval. In the just scale, the ratio of the frequencies in the C-G interval is need to determine what the lengths of the other two wires should be (in cm). fG 3 fc Before embarking on building the system, you 5 4 fc 2 L2 cm L3 cm

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