Tutorials in Introductory Physics
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 23.1, Problem 3bTH
To determine

The cup(s) that will be hit by the spring during the demonstration, whether free end of the spring have a maximum displacement that was greater than, less than, or equal to the amplitude of the incident pulse, and find whether the incident and reflected pulses are on the same side of the spring or on opposite sides of the spring.

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A standing wave is established in a snakey as shown in the diagram at the right. The distance from point A to point B is known to be 4.69 meters. When not being vibrated as a standing wave, a single pulse introduced into the medium at point A will travel to the opposite end and back in 2.70 seconds. Determine the vibrational frequency of the wave pattern.
Introduction to Two-Source Interference Learning Goal: To gain an understanding of constructive and destructive interference. Consider two sinusoidal waves (1 and 2) of identical wavelength A, period T, and maximum amplitude A. A snapshot of one of these waves taken at a certain time is displayed in the figure below. (Figure 1) Let y₁ (z, t) and y2 (x, t) represent the displacement of each wave at position at time t. If these waves were to be in the same location (2) at the same time, they would interfere with one another. This would result in a single wave with a displacement y (z, t) given by y(z, t)= y(x, t) + y2(x, t). This equation states that at time t the displacement y (x, t) of the resulting wave at position z is the algebraic sum of the displacements of the waves 1 and 2 at position z at time t. When the maximum displacement of the resulting wave is less than the amplitude of the original waves, that is, when ymax A. the waves are said to interfere constructively because the…
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