Aguitar string is 90 cm long and has a mass of 3.4g . the distance from the bridge to the support post is l=62cm, and the string is under a tension of 500n .

what are the frequencies of the fundamental and first two overtones?

f = 293.38 Hz

1 st overtone = 586.76 Hz

2 nd overtone = 880.14 Hz

Explanation:

Mass of the string, m =3.4 g = 0.0034 kg

Length of the string, l = 90 cm = 0.90 m

Distance  from the bridge, L = 62 cm = 0.62 m

Tension in the string, T = 500 N

Fundamental frequency is given by:

First overtone = 2 × f = 2 × 293.38 =586.76 Hz

Second Overtone = 3×f = 3 × 293.38 = 880.14 Hz

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