Confusion about frequency and resonance of tuning forks?

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Kratos321
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hello.

ok so i know that if you have two tuning forks of the same natural frequency, one can stimulate the same frequency to another and resonance is achieved.

but what if I have a 100 Hz tuning fork and say maybe a 180 Hz tuning fork. If a strike the 100 Hz one, how will the other one be affected? will it vibrate at all? and if it does, with what frequency? what about if I strike the 180 Hz tuning fork?

thanks in advance.
 
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Kratos321 said:
hello.

ok so i know that if you have two tuning forks of the same natural frequency, one can stimulate the same frequency to another and resonance is achieved.

but what if I have a 100 Hz tuning fork and say maybe a 180 Hz tuning fork. If a strike the 100 Hz one, how will the other one be affected? will it vibrate at all? and if it does, with what frequency? what about if I strike the 180 Hz tuning fork?

thanks in advance.

In either case, the other will vibrate, but the minimally and not with increasing amplitude. The reasoning is easy to see if you think of pushing a child on a swing. The child swings up to a peak just in front of you. Just as she was about to go down, you push and increase her speed. That makes her go higher on the far side. She swings back higher on your side, you push, and she goes faster and higher still...

Without much thinking about it, you push with the same frequency as the swing moves. If you were to push with, say 1.8 times that frequency, you would sometimes push when she was going down anyway and add to her motion. Some times you would push as she was on the way up, slowing her. Sometimes you would push when she is not in reach. You would not consistently increase her speed or the amplitude of the motion.

Its the same with the tuning fork. The push (or pull) is carried through the compressions and expansions of the air to the prongs of the other fork. Sometimes they add the to vibration and sometimes they diminish it. The other fork moves, but inconsistently and with a tiny amplitude.