Vibrations in Strings

Fundamental Mode (First Harmonic)

Fundamental Mode – when a string is plucked, it will vibrate in one segment with two nodes at either end.

This is the lowest possible mode of vibration

In a guitar string, for example, it will vibrate between the fret and the tuning key. The bridge transfers the vibration to the “box” (or sound box) through the saddle.

At the fundamental frequency (f₀) we have 1 loop and 2 nodes.

Note: # of nodes = # of loops +1

Also: L = ½ λ (L – length of the string, λ – wavelength)

Overtones – when strings vibrate in more than one segment.

Harmonies – frequencies which are multiples of the fundamental.

i.e.  2f₀, 3f₀ …

The fundamental frequency (f₀) is known as the First Harmonic.

Read about the modes of Vibrations in Strings and more right here-https://passnownow.com/lesson/resonance/