Why is one of my guitars string vibrating?
What ever you do, please leave the frets well alone, that's a job for professionals. It is also highly unlikely that you have a fret issue. You're not saying if the excessive string vibration is only on the open A, or if you have the problem up the neck. Since it's apparently only the A-string, and given that the vibration occurs up the neck (not only with an open string) it may be the action (string height) is too low on this string. If you can't raise the individual bridge saddles, then it is very unlikely that it's an issue with the action. It may be that you have a nut slot that is too wide or incorrectly filed and that the string is vibrating inside the slot. If you fret the string and the sound goes away, this may be the issue. Also, you may have the string wound to fa up the tuning post, giving too little pressure/angle in the A-string nut slot. It may also be that you have other parts of the guitar vibrating when you hit the A-string. One typical offender is the tuner (a loose bushing or something similar). Finally, there may be a problem with the string itself. A qualified individual - like a guitar tech - can pinpoint the problem quickly for you and suggest ways to fix the problem.
My guitar strings won't vibrate?
It may be that your strings are tuned too high and consequently harder to play/fret. It may also be that the action (string height) is too high - possibly combined with too heavy strings. High action and heavy strings tend to make a guitar harder to play for a beginner. It may also be that you don't fret the notes properly, perhaps playing too close to the fret/s or too far away from the fret/s. It may also be that your playing is correct but that the action is too low or the neck don't have a proper relief - choking out the notes. As you can understand, it is not easy to say for sure what the problem may be. It is best you let an experienced player take at the guitar and your playing. Also, a qualified guitar tech could set the guitar up for you, in order to make it as easy to play as possible.
Why do the first and second strings of my guitar sound tinny on the first fret?
Hi. If it's just one fret that gives you this problem, then I doubt very much you have an issue with the neck relief (curvature of the neck), or the action (string height).Since it's these two (E and B) strings which causes you a problem, my gut feeling would be to take a look at the second fret. Some times neck wood dries our a bit and the end of the fret may lift from the fretboard.If it's a guitar you've been playing a long time, it may also be that you have a grooved fret (in your case this would be the first). However, it is very seldom that a slightly grooved fret will cause a problem like this.If it was just one string, it could have been problems with the string itself. On rare occasions, you may have a bad string that needs changing. If the strings are old (and you don't see any issues with the frets), you should definitely change the strings.Another option - in case it's an electric guitar - is that you have a pickup (usually) the neck pickup a little too close to the strings. This may some times give a magnetic "pull" that is too strong, in effect dampening the string.This some times occur together with a low action. But again, it is rare to hear it on just one fret...Just for safe measures, you should have the guitar checked by a qualified tech. A loose fret is easy to fix for someone with experience. He/she will also check the other things mentioned here at the same time.it may be that you could benefit from having the relief adjusted slightly. This is done with the neck truss rod and it is not something you want to mess with yourself.Oh and for the future - remember to specify what sort of guitar you have, what type and gauge of strings you use, pickups etc :-)----45+ years of setting up, repairing, playing and dealing with guitars and other stringed instruments.
When a guitar string plays the note "A," the string vibrates at 440 Hz.?
T = 1/f = 1/440 = 0.0023 secs
Would an infinitely long guitar string vibrate forever?
No. You will pluck the string. The disturbance will travel ( forever ) along the string. The plucked section will vibrate in place and that vibration will gradually damp down as the Kinetic / Elastic Potential energy is converted into heat energy ( and radiated away ) by internal molecular shifting. The traveling disturbance will also lose energy to molecular heating and so will gradually reduce in amplitude till nothing is left. If the string is infinite then the disturbance will never reach the ends of the string. And it will gradually disappear. ( If the string is in a vacuum the damping might take a bit longer but it will still happen. )
How can one correct the low E string buzzing in guitar?
Sounds like the nut could be a millimetre too low for the E string. Both bridge and nut should be notched or angled so they allow for the different string diameter between top and bottom strings.But before you do any more woodwork have a look here! What causes Fret Buzz? ... and How to Fix it!