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reading the chapter on superposition and standing waves, you decide to design a special wind chime. It con wires, of linear mass density u, and three heavy objects, each of mass M = 2.90 kg, as shown in the figure. M L2 M L3

reading the chapter on superposition and standing waves, you decide to design a special wind chime. It con wires, of linear mass density u, and three heavy objects, each of mass M = 2.90 kg, as shown in the figure. M L2 M L3

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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 u, and three heavy objects, each of mass M = 2.90 kg, as shown in the figure. L1 M L2 M L3 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, = 57.0 cm having a frequency of middle C in the equal- tempered scale, f, whose ratios 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 = 261.6 Hz. In the just scale, musical intervals between two notes are defined by frequencies of the notes the just scale, the ratio of the frequencies in the C-E interval is fc 5 The third note in the C major chord is G, so the chord 4 also contains a C-G interval. In the just scale, the ratio of the frequencies in the C-G interval is fc building the system, you need to determine what the lengths of the other two wires should be (in cm). 3 Before embarking on 2 = cm L3 cm
Transcribed Image Text: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 u, and three heavy objects, each of mass M = 2.90 kg, as shown in the figure. L1 M L2 M L3 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, = 57.0 cm having a frequency of middle C in the equal- tempered scale, f, whose ratios 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 = 261.6 Hz. In the just scale, musical intervals between two notes are defined by frequencies of the notes the just scale, the ratio of the frequencies in the C-E interval is fc 5 The third note in the C major chord is G, so the chord 4 also contains a C-G interval. In the just scale, the ratio of the frequencies in the C-G interval is fc building the system, you need to determine what the lengths of the other two wires should be (in cm). 3 Before embarking on 2 = cm L3 cm
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