- #1
The position of the fixed ends of the string determines the wavelength. The fundamental is the longest wavelength of vibration for which the distance between fixed ends is the distance between two adjacent nodes. Any longer wavelength would require the fixed end of the string to move. The distance between two adjacent nodes is 1/2 a wavelength.lektor said:This is not homework question but more of a personal interest question.
Can anyone help explain why it is that in the fundamental of a string the 2 impulses superimpose to form:
Superimposition in string fundamentals refers to the concept of combining two or more string vibrations to produce a new, more complex vibration. This can occur when two or more strings are played simultaneously or when a string is plucked at multiple points along its length.
Superimposition can greatly impact the sound of a string instrument. By combining different string vibrations, it can create new harmonics and overtones, resulting in a richer, more complex sound. It can also produce dissonance or interference patterns if the vibrations are not in sync.
The degree of superimposition in a string instrument can be affected by factors such as the type of string, the tension of the string, and the position and force of plucking or bowing. The materials and design of the instrument itself can also play a role in the level of superimposition.
Superimposition is closely related to string harmonics. Harmonics are created by superimposing different string vibrations at specific points along the string. The more complex the superimposition, the more harmonics are produced, resulting in a richer and more varied sound.
Understanding superimposition in string fundamentals has many real-world applications. It is essential for musicians to create harmonies and complex melodies on string instruments. It is also crucial in the fields of acoustics and audio engineering, where it is used to manipulate and improve the sound of string instruments in recordings and live performances.