Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 9.2, Problem 1aT
Describe what happens after the pulse reaches the boundary between the springs.
Compare the widths of the incident and transmitted pulses.i
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Figure 6a shows the appearance of a progressive wave transverse wave at a particular instant in time. The wave travels at a speed of 12 ms^-1.
All Particles in the wave osciallte with simple harmonic motion.
i. Calculate the frequency and time period of the oscillations.
ii. Calculate the maximum acceleration of the particles (magnitude only).
iii. Calculate the velocity of the particles when the displacement is ±1.0 cm
iv. Compare the amplitude and phase of particles X and Y.
At a given point, what is the phase difference (as a multiple of π) between two ‘displacements for times 7.5 ms apart?Answer in units of π.
b-What is the wave velocity?Answer in units of m/s.
A support beam, within an industrial building, is subjected to vibrations along its length; emanating from two
machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled
by the following equations.
x1= 3.75 sin (100nt + 2m/9)
x2 = 4.42 sin (100rt – 2m/5 )
i State the amplitude, phase, frequency and periodic time of each of these waves.
ii. When both machines are switched on, how many seconds does it take for each machine to produce
its maximum displacement?
. Atwhattime does eachvibrationfirstreachadisplacementof–2mm?
iv. Use the compound angle formulae to expand xland x2 into the form A sin 100mt ± B cos 100mt, where
A and B are numbers to be found.
v. Using your answers from part iv, express x1 + x2 in a similar form. Convert this expression into the
equivalent form Rsin(100nt + o3).
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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