Music. You are designing a two-string instrument with

QUESTION:

Music. You are designing a two-string instrument with metal strings 35.0 cm long, as shown in ?Fig. P15.54?. Both strings are under the ?same tension?. String S1 has a mass of 8.00 g and produces the note middle C (frequency 262 Hz) in its fundamental mode. (a) What should be the tension in the string? (b) What should be the mass of string S2 so that it will produce A-sharp (frequency 466 Hz) as its fundamental? (c) To extend the range of your instrument, you include a fret located just under the strings but not normally touching them. How far from the upper end should you put this fret so that when you press S1 tightly against it, this string will produce C-sharp (frequency 277 Hz) in its fundamental? That is, what is x in the figure? (d) If you press S2 against the fret, what frequency of sound will it produce in its fundamental?