EK harmonics/frequency 712.

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GRod18

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If increasing the frequency of the revolutions increases the tension in the rope, might the increase tension make it possible to generate teh same harmonic at more than one frquency on the same rope?

Yes, because greater tension would produce the harmonics at a higher frequency.

I just don't get it lol..

Which of the following is not simple harmonic motion?

EK said it has to be sine wave.

Answer: boy bouncing a yoyo in steady rhythm. (why is this not)


Thanks
 
Hmm I don't have the EK book so it's not exactly clear what you are asking but I'll take a shot at it. The velocity of propagation of any wave can be given by the equation v = (tension/linear mass density)^1/2. If you increase tension, the velocity increases. Since v = wavelength*frequency, either the frequency must increase with increasing tension or the wavelength must increase.
 
Hey Rabolisk.

Here are the other choices

A. An electron moving back and forth in ac current.

B. The orbit of the earth around the sun as viewed from the side.

C. A pendulum swinging at a small angle.


D A boy bouncing a yoyo in steady rhythm.


The one that is NOT simple harmonic motion is (D)
 
For simple harmonic motion, there must be a natural restoring force present. For the AC current, the alternating E field provides that restoring force. For the sun's orbit, that restoring force if gravity, same as for the pendulum. For the boy bouncing a yoyo, there is no restoring force. The yoyo will continue to dangle unless the boy makes an active effort to pull it back up.
 
For simple harmonic motion, there must be a natural restoring force present. For the AC current, the alternating E field provides that restoring force. For the sun's orbit, that restoring force if gravity, same as for the pendulum. For the boy bouncing a yoyo, there is no restoring force. The yoyo will continue to dangle unless the boy makes an active effort to pull it back up.

makes sense, thanks!
 
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