Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 9.1, Problem 1aT
A piece of yarn has been attached to the spring. How did the motion of the yarn compare to the motion of the pulse for each type of pulse that you observed?
The terms transverse or longitudinal are often used to describe the types of pulses you have observed in the demonstration. To what feature of a pulse do these terms refer?
For the rest of this tutorial we will focus on transverse pulses along the spring.
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Mac and Tosh stand 8 meters apart and demonstrate the motion of a transverse wave on a string. The wave can be described as having a vertical distance of 32 cm from a trough to a crest, a frequency of 3.4 Hz, and a horizontal distance of 48 cm from a crest to the nearest trough. Determine the amplitude, wavelength, and speed of such a wave. Show all of your work and explain your steps for solving the problem
I. For the following problems, set up the differential equation that describes the motion under
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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…
Chapter 9 Solutions
Tutorials in Introductory Physics
Ch. 9.1 - A piece of yarn has been attached to the spring....Ch. 9.1 - During the demonstration, did any of the following...Ch. 9.1 - During the demonstration, each of the following...Ch. 9.1 - Prob. 2aTCh. 9.1 - Prob. 2bTCh. 9.1 - Prob. 3aTCh. 9.1 - Prob. 3bTCh. 9.2 - Describe what happens after the pulse reaches the...Ch. 9.2 - Compare the speed of a pulse in one spring to the...Ch. 9.2 - In answering the questions below, assume that each...
Ch. 9.2 - Prob. 2aTCh. 9.2 - Prob. 2bTCh. 9.2 - Prob. 3aTCh. 9.2 - Prob. 4aTCh. 9.2 - Which of the following quantities are different on...Ch. 9.2 - Prob. 4cTCh. 9.3 - Prob. 1aTCh. 9.3 - Prob. 1bTCh. 9.3 - Prob. 1cTCh. 9.3 - Prob. 1dTCh. 9.3 - Prob. 1eTCh. 9.3 - Prob. 2aTCh. 9.3 - Prob. 2bTCh. 9.3 - Prob. 2cTCh. 9.3 - Prob. 2dTCh. 9.3 - Each of the diagrams at right shows a ray incident...Ch. 9.3 - Does the ray representing a wave always “bend”...Ch. 9.4 - Shown below are mathematical and pictorial...Ch. 9.4 - Three light waves are represented at right. The...Ch. 9.4 - Write an expression for the force exerted on a...Ch. 9.4 - Imagine that the electromagnetic wave in section I...Ch. 9.4 - Prob. 3aTCh. 9.4 - Suppose that the electric field in a light wave...
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