Chapter 18533*P18.22The first string has linear densityµ133156 10237 10=×=×−−..kg0.658 mkg m.The second, 233675 10711 10=×−−..kg0.950 mkg m.The tension in both is T==693679..kg 9.8 m sN2. The speed of waves in the first string isvT11367 9169×=−. N2.37 10kg mmsand in the second vT2297 8. m s. The two strings vibrate at the same frequency, according tonvLL111222=nn121692065897 820950mm...af=nn2125052.. Thus n12=and n25=are the number of antinodes on each string in the lowestresonance with a node at the junction.(b)The first string has 2 13+=nodes and the second string 5more nodes, for a total of 8, or 6 other than the vibratorand pulley.(a)The frequency is 2169257mHzbg.=.junctionFIG. P18.22(b)*P18.23For the E-string on a guitar vibrating as a whole, vfλ33064 0Hz 2cm.. When it is stopped atthe first fret we have 233023302 64 012HzHzcmLvF.
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