RCW, I too spent some time in music. Do you remember hearing a universal tuning note called "A440"? Meaning the string, or whatever, moves 440 cycles per second. So braking causes some components on your bike to vibrate at the frequencies called high D (faster) and low E (slower). I spent less time in physics, more in engineering, and still can't figure out natural frequency, but the diameter of a string, its length and its tension might all affect pitch. Variables like those in a brake squeal situation could include rim diameter, rim sidewall stiffness/size, length/rigidity of brake arms and pads. Music instruments are simple by comparison!
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