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There are so many vibrating systems. For example, simple pendulum, guitar strings, violin strings, metal springs etc. However, all vibrating systems do not produce sound. The sound producing vibrating systems are: guitar strings, violin strings etc. The sound waves on strings are affected by the length of the string, tension in the string and thickness of the string. The velocity of the wave traveling in the strings of musical instruments is given as:
Here, v is the velocity of the wave along the string of tension F and mass per unit length M. Now, the frequency of the wave is given as:
In addition to guitar and violin, there are numerous music instruments that can produce sound. In addition, there would be infinite examples of the sources of sound. For example piano, bass drum, and flute.
Beats:
The interference of two waves in time or the temporal interference is called beats. Thus, the periodic vibration in intensity at a given point due to the superposition of two waves having slightly different frequencies is called beating. The amplitude and intensity of the resulting sound wave vary with time. And, there are two maxima in each period of the resultant wave. If there are two tuning forks with frequencies f1 and f2 respectively then the resulting beat frequency is given as:
The formation of beats is shown in the figure as follows:
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Waves and Optics