A violin string of L = 31.8 cm in length and u= 0.64 gm of linear mass density is tuned to play an A4 nate at 440.0 Hz. This means that the string is in its made of fundamental oscillation, that is, it will be on that note without placing any fingers on it. From this information, A. Calculate the tension in the string that will keep it in tune. ANSWER IS 50.119 N B. When playing the violin, different notes can be produced depending on the position of the fingers of one hand on the string. The usual technique presses the string hard against the fretboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for an A4, and a finger is placed a third of the way down from the headstock: i What would be the new fundamental frequency, that is, the frequency of the new note that is being produced assuming it has the same tension as in part A? il. What would be the new frequency of the nate, if instead of using the technique described above for violin playing, the technique called artificial harmonic is used, where the string is only partially pressed in such a way as to produce a node on the string? Hint: the following illustration may help you Nut Bridge 12th Fret 1/2 7th Fret Node 1/3 Sth Fret 1/4 1/5 1/6 1/7

A violin string of L = 31.8 cm in length and u= 0.64 gm of linear mass density is tuned to play an A4 nate at 440.0 Hz. This means that the string is in its made of fundamental oscillation, that is, it will be on that note without placing any fingers on it. From this information, A. Calculate the tension in the string that will keep it in tune. ANSWER IS 50.119 N B. When playing the violin, different notes can be produced depending on the position of the fingers of one hand on the string. The usual technique presses the string hard against the fretboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for an A4, and a finger is placed a third of the way down from the headstock: i What would be the new fundamental frequency, that is, the frequency of the new note that is being produced assuming it has the same tension as in part A? il. What would be the new frequency of the nate, if instead of using the technique described above for violin playing, the technique called artificial harmonic is used, where the string is only partially pressed in such a way as to produce a node on the string? Hint: the following illustration may help you Nut Bridge 12th Fret 1/2 7th Fret Node 1/3 Sth Fret 1/4 1/5 1/6 1/7