In this class we have considered two oscillating systems containing a spring: A
ID: 1499264 • Letter: I
Question
In this class we have considered two oscillating systems containing a spring: A small cart that oscillates back and forth attached to a spring, and a long stretched spring that carries transverse waves, as shown in the figures on the right. In some sense these two springs are similar but serve different purposes in these two examples. Discuss a way in which they are similar, a way in which they are different, and how we model them differently and why.
In this class we have considered two oscillating systems containing a spring: A small cart that oscillates back and forth attached to a spring, and a long stretched spring that carries transverse waves, as shown in the figures on the right. In some sense these two springs are similar but serve different purposes in these two examples. Discuss a way in which they are similar, a way in which they are different, and how we model them differently and why.
Explanation / Answer
A wave motion, in which the particles of the medium oscillate about their mean positions at right angles to the direction of propagation of the wave, is called transverse wave.These waves can propagate through solids and liquids but not through gases, because gases do not possess elastic properties. Examples of these waves are: vibrations in strings, ripples on water surface and electromagnetic waves.In a transverse wave, the particles of the medium oscillate in a direction perpendicular to the direction of propagation.Thus, during their oscillations, the particles may move upwards or downwards from the plane passing through their mean positions. The uppermost point of the wave, i.e., the position of maximum positive displacement is crest and the lowest point, i.e. the position of maximum displacement is called trough. Thus in a transverse wave crests and troughs appear alternatively.
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