Mechanical Wave

Mechanical wave motion is the occurrence of waves on the surface of a body.
For example, If a stone is dropped into a calm lake or pool, a series of expanding ripples appears to radiate from the splash center.
However, If you observe some bits of matter floating up-and-down bobbing motion as the waves move across the surface of the water.
Which means, the waves travel steadily in the same direction without any corresponding transport of the water floating water.
The bulk matter through which a wave propagates acts as a medium for the transport of energy and momentum, even though no part of the bulk matter participates in the long range motion of the wave.
1. Wave propagation can take in systems that are one- dimensional, two-dimensional and 3- dimensional in character.
A disturbance that propagates along a taut string or spring is a one-dimensional .
Waves on the surface of a body of water are two- dimensional waves.
A pressure disturbance(sound wave) that propagates through air is a three-dimensional wave.
2. Waves can be classified according to the type of motion that the medium undergoes.
If the displacement of the medium is at right angle to the direction of propagation of the wave,the wave is said to be
Example: if a taut horizontal string is flipped up-and-down, a transverse disturbance will propagate along the string.
If the displacement of the medium us back and forth(parallel) along the direction of propagation of the wave, the wave is said to be longitudinal or compressional waves.
Wave function of a pulse is the mathematical expression that describes the wave disturbance
and its propagation as a function of time.
The quantity U=X-VT is called the phase of the wave.
Superposition: In a medium that supports wave propagation, there may be several sources of waves.
When two waves cross or merge, the instantaneous displacement of the medium is simply the linear sum of the individual displacement that would have occurred for each wave alone.
When such a linear addition law is valid for combining waves, the waves are said to be linear and the addition obeys the principle of the superposition


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