Answer to Question #162618 in Physics for Tithi

Question

Explain the normal modes and proper frequencies of a stretched string.

Answer 1

The normal mode of a stretched string is the basic frequency f defined by its tension T, mass m, and length L:

$$f_1=\frac12\sqrt{\frac{T}{Lm}}.$$

The proper frequencies are also called harmonics and defined by the following expression:

$$f_n=nf_1,\space n\in N.$$