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!