# Resonance question

## Main Question or Discussion Point

So this morning, while prepping for my calc 2 final, I sat at the breakfast table and drank my coffee. After stirring in some sugar, I tapped the spoon on the side of the mug to shake off the remaining drops of coffee. I noticed the pitch of resonating spoon was increasing. I wondered about a couple things--how far off a tuning fork is on a hot day, how much this effects guitar strings when you're really shredding, etc. I spent a minute trying to think of a way to relate temperature to a resonating solid- is it as simple as that the frequency response function is also dependent on the temperature of the material? I looked up the equation and I don't know the right way to get that in there... so drop some knowledge on me fellas!

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I'm almost pretty sure increase in temperature won't cause an increase in vibration. The fact that higher temperature cause the material to have more plastic like properties. Plastic seems to have better dampen properties than brittle materials. But who knows, maybe that dampen happens to cause the wave to reinforce.

Temperature will change the length of a string, thus its tension and pitch.

I found this frequency response model

http

://

en.wikipedia

(dot) org

/wiki/Image:Frequency_response_example

(dot)

png

(again, sorry about the funky link, but I'm not allowed to post links 'till I get to 15 posts. If anyone wants to patch it up for me, I'd appreciate it)

the only thing I can relate it to that I see here is the stiffness. anyone able to talk more about the change dampening as caused by a temperature change and how that might relate to the frequency?