The two travelling sinusoidal waves that we have considered above extend to
arge distances in both directions (in principle to x =±∞). A string stretched
between two rigid walls has a finite length. However, it can still support standing
waves. In this case it is reflections at the two walls that produce the two waves
ravelling in opposite directions. This is illustrated in Figure 6.4, which shows the
formation of a standing wave on a string stretched between two rigid walls. The
figure represents snapshots of the waves, at successive instants of time, separated
by T /8, where T is the period of the waves. Again the thin continuous curve
represents a wave travelling towards the right and the dotted curve represents a
wave travelling towards the left. (At some instants of time, the incident and reflected
waves lie on top of each other.) These waves are reflected at each of the walls.
Inspection of Figure 6.4 shows that the waves obey the rules of reflection that we
The two travelling sinusoidal waves that we have considered above extend toarge distances in both directions (in principle to x =±∞). A string stretchedbetween two rigid walls has a finite length. However, it can still support standingwaves. In this case it is reflections at the two walls that produce the two wavesravelling in opposite directions. This is illustrated in Figure 6.4, which shows theformation of a standing wave on a string stretched between two rigid walls. Thefigure represents snapshots of the waves, at successive instants of time, separatedby T /8, where T is the period of the waves. Again the thin continuous curverepresents a wave travelling towards the right and the dotted curve represents awave travelling towards the left. (At some instants of time, the incident and reflectedwaves lie on top of each other.) These waves are reflected at each of the walls.Inspection of Figure 6.4 shows that the waves obey the rules of reflection that we
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Two traveling the sinusoidal Waves that we have considered above to Extend
distances in both Directions ARGE (x = ± ∞ to in principle). A STRING stretched
between rigid Two Walls has a finite Length. However, it Can Support still standing
Waves. It is in this Case Reflections at the Two Walls that Produce the Two Waves
in Opposite Directions Ravelling. This is illustrated in Figure 6.4, which shows the
Formation of a standing Wave on a rigid STRING stretched between Two Walls. The
figure represents snapshots of the Waves, at successive instants of time, Separated
by T / 8, where T is the period of the Waves. Again the thin continuous Curve
represents a Wave traveling towards the Right and the dotted Curve represents a
Wave traveling towards the left. (At Some instants of time, and the incident Reflected
Waves lie on top of each Other.) These are Reflected Waves at each of the Walls.
Inspection of Figure 6.4 shows that the Waves of Reflection that we obey the Rules.
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