Figure 1 shows some of the ways in which a string can vibrate: A produces a certain note; B produces the first harmonic, an octave higher; and C fifth higher
y = sin x cos t for vibration A
y = sin 2x cos 2t for vibration B
y = sin 3x cos 3t for vibration C
y = sin 2x cos 2t for vibration B
y = sin 3x cos 3t for vibration C
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