misskitty said:
Here's a question I just thought of. We were discussing resonance in my physics class today. We defined it, but I don't think the definition was very comprehendable. Honestly it was rather confusing.
Anyway, I know it has to do with something wanting to vibrate at a certain fundamental frequency. I know mechanical waves are affected by resonance because sound resonates. Does resonance occur with EM waves too? If so, what happens?
Sometimes it is hard to form a clear concept, from a definition. Examples are always much better.
When you swing on a swing in a playground, did you ever wonder why it swings at a certain rate? As you bend your knees and swing higher, you increase the amplitude of this system but you do not change the velocity. The swing and you move at a natural frequency. The system is resonant. If you try to swing faster or slower, you find that you cannot. That is how a pendulum works.
see --->
http://hyperphysics.phy-astr.gsu.edu/hbase/sound/reson.html#c2
If you are familiar with musical instruments, a clarinet is a good example for resonance of acoustic waves. Each key that is held down creates a cylindrical cavity (of a specific length) that is open at one end and blocked at the other. As you try to play a low note a lot of sqawking sound will occur until you find a certain note that will resonate for that length of pipe. Other pitches will also resonate for the same length of pipe and sound higher, those are harmonic frequencies and are related to the lowest (fundamental) note. A church pipe organ is certainly another good example of resonance.
see ---> http://www.umanitoba.ca/faculties/arts/linguistics/russell/138/sec4/resonanc.htm
Electromagnetic waves also exhibit resonance. In a radio, you can tune the dial to a certain frequency, to hear your favorite station. However the reception may be poor. You can improve the reception by making an antenna with the correct geometry (length of its elements), such that it
resonates at the same frequency as the radio waves traveling through air. If you made the antenna a bit longer or shorter, the antenna would no longer resonate at that frequency and reception would get weaker. (there is a bit more to antennas than that, but this illustrates the point)
If you're curious about antennas a good read can be found at --->
http://www.qsl.net/g3yrc/antenna basics.htm
they have a nice diagram of the electromagnetic spectrum from power line frequencies all the way up to cosmic radiation.
Lots of shapes resonate, including bridges. A famous instance was the "Tacoma Narrows" suspension bridge in Washington state. It was noticed that as the winds blew, this bridge would begin to swing. When the wind reached 42mph, the bridge began to oscillate at its resonant frequency, creating both transverse (side to side) and longitudinal (length wise) oscillations. Eventually the amplitude became so great that the entire suspension collapsed.
For some vivid photos, see ---> http://www.lib.washington.edu/specialcoll/tnb/