Problem 2 A guitar with standard tuning has an A-string frequency of 110 Hz. Take the A string to have a mass per unit length of / = 4.5 x 10 3 kg/m and tension of F* = 88.5 N. (a) After plucking the A string, what is the speed of the resulting wave in the string? (b) What is the wavelength of the fundamental mode of oscillation of this string? (c) What is the period of the fundamental from part (b)? (d) How long is the string? (e) Suppose you wanted to play a note that is 220 Hz by pressing down on the string with your finger. Assuming the note will ring at the fundamental, how long would the string length, from your finger to the end of the guitar, have to be to achieve this? Note: this problem does not require any special knowledge of guitar structure. Do not worry about fret locations, etc. (f) Suppose now, instead of placing a finger down, you increase the tension of the string and play the full string length at 220 Hz. What would the new tension in the string have to be? (Note: don't actually try this at home!)