Physics Homework Help?

Question

Problem 11.54A guitar string is 90 cm long and has a mass of 3.7 g . The distance from the bridge to the support post is L=62cm, and the string is under a tension of 540 N .

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

Answer 1

Length of the guitar string is .

Mass of the string is .

String is under a tension of .

The distance from the bridge to the support post is .

Find the fundamental frequency .

Fundamental frequency .

Where .

.

.

 kg/m.

Substitute ,  and  kg/m in .

.

Multiply by 2 for first overtone and multiple this by 3 for the second overtone.

First overtone is .

Second overtone is .