Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
5th Edition
ISBN: 9781305586871
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 13, Problem 21P
A series of pulses, each of amplitude 0.150 m, are sent down a string that is attached to a post at one end. The pulses are reflected at the post and travel back along the string without loss of amplitude. When two waves are present on the same string, the net displacement of a particular element of the string is the sum of the displacements of the individual waves at that point. What is the net displacement of an element at a point on the string where two pulses are crossing (a) if the string is rigidly attached to the post and (b) if the end at which reflection occurs is free to slide up and down?
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A string consists of two parts attached at x=0. The right part of the string has
mass per unit length 12.8 g/m and the left part has mass per unit length
3.2g/m. The string tension is T. If a wave of amplitude 3.5cm travels along the
left part of the string, what is the amplitude of the wave that is transmitted to
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WS19 (rev. 2.5)
Page 71
19.
Waves
Problems
1. The equation of a certain wave on a string is given by
y(x,t) = 0.1 sin{2r(x - 10t)}
with x and y in meters, andt in seconds.
Which way is the wave moving, to the left or to the right? How do you know?
(b) What is the wavelength of the wave? frequency? phase speed?
(c) If the string has a mass per unit length of 0.1 kg/m, what is the tension in the
string?
(d) What is the maximum transverse velocity of the string (that is, the maximum
vertical velocity of particles in the cord)?
[Ans: (b) 1 m; 10 Hz; 10 m/s; (c) 10 N; (d) 2n m/s]
(a)
bow do
A transverse periodic wave travels to the left along a string. Their characteristics are: amplitude of 0.200 m, wavelength of 0.350 m and a frequency of 12.0 Hz. The position of a portion of the string at t = 0, x = 0 is y = -0.0300 m, and the element has a positive velocity at that location. Find an expression for the wave function that describes it in terms of cosines.
Chapter 13 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
Ch. 13.1 - (i) In a long line of people waiting to buy...Ch. 13.2 - Prob. 13.2QQCh. 13.2 - The amplitude of a wave is doubled, with no other...Ch. 13.3 - Suppose you create a pulse by moving the free end...Ch. 13.5 - Prob. 13.5QQCh. 13.7 - Consider detectors of water waves at three...Ch. 13.7 - Prob. 13.7QQCh. 13 - Prob. 1OQCh. 13 - Prob. 2OQCh. 13 - Rank the waves represented by the following...
Ch. 13 - Prob. 4OQCh. 13 - When all the strings on a guitar (Fig. OQ13.5) are...Ch. 13 - By what factor would you have to multiply the...Ch. 13 - A sound wave can be characterized as (a) a...Ch. 13 - Prob. 8OQCh. 13 - Prob. 9OQCh. 13 - A source vibrating at constant frequency generates...Ch. 13 - A source of sound vibrates with constant...Ch. 13 - Prob. 12OQCh. 13 - Prob. 13OQCh. 13 - Prob. 14OQCh. 13 - As you travel down the highway in your car, an...Ch. 13 - Prob. 16OQCh. 13 - Suppose an observer and a source of sound are both...Ch. 13 - Prob. 1CQCh. 13 - Prob. 2CQCh. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - When a pulse travels on a taut string, does it...Ch. 13 - Prob. 6CQCh. 13 - Prob. 7CQCh. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQCh. 13 - Prob. 11CQCh. 13 - How can an object move with respect to an observer...Ch. 13 - Prob. 13CQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - The string shown in Figure P13.5 is driven at a...Ch. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - A transverse wave on a string is described by the...Ch. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - A transverse sinusoidal wave on a string has a...Ch. 13 - A steel wire of length 30.0 m and a copper wire of...Ch. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Review. A light string with a mass per unit length...Ch. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - A series of pulses, each of amplitude 0.150 m, are...Ch. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - A taut rope has a mass of 0.180 kg and a length of...Ch. 13 - Prob. 25PCh. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - Write an expression that describes the pressure...Ch. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - A sound wave in air has a pressure amplitude equal...Ch. 13 - A rescue plane flies horizontally at a constant...Ch. 13 - A driver travels northbound on a highway at a...Ch. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Review. A tuning fork vibrating at 512 Hz falls...Ch. 13 - Submarine A travels horizontally at 11.0 m/s...Ch. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Review. A block of mass M, supported by a string,...Ch. 13 - Prob. 51PCh. 13 - Review. A block of mass M hangs from a rubber...Ch. 13 - Prob. 53PCh. 13 - The wave is a particular type of pulse that can...Ch. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - Prob. 63PCh. 13 - Prob. 64PCh. 13 - Prob. 65PCh. 13 - Prob. 66PCh. 13 - Prob. 67PCh. 13 - A sound wave moves down a cylinder as in Active...Ch. 13 - A string on a musical instrument is held under...Ch. 13 - A train whistle (f = 400 Hz) sounds higher or...Ch. 13 - The Doppler equation presented in the text is...
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