5th Edition

ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

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A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency …

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Textbook Question

Chapter 14, Problem 99GP

A steel guitar string has a tension F, length L, and diameter D. Give the multiplicative factor by which the fundamental frequency of the string changes under the following conditions: (a) The tension in the string is increased by a factor of 4. The diameter is D and the length is L. (b) The diameter of the string is increased by a factor of 3. The tension is F and the length is L. (c) The length of the string is halved. The tension is F and the diameter is D.

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Chapter 14, Problem 98GP

Chapter 14, Problem 100GP

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Just need to be shown parts (a) and (b) Problem 12: A guitar string of length L = 0.99 m is oriented along the x-direction and under a tension of T = 118 N. The string is made of steel which has a density of ρ = 7800 kg / m3. The radius of the string is r = 9.4 x 10-4 m. A transverse wave of amplitude A = 0.0020 m is formed on the string. Part (a) Calculate the mass per unit length μ of the guitar string in kg / m. Part (b) Calculate the velocity (in m/s) of a traveling transverse wave on the guitar string. Part (c) Assume a form y1 = A sin(α) for the transverse displacement of the string. Enter an expression for α of a transverse wave on a string traveling along the positive x-direction in terms of its wavenumber k, the position x, its angular frequency ω, and the time t? α = k x - ω t ✔ Correct! Part (d) Assume a form y2 = A sin(α) for the transverse displacement of the string. Write an expression for α of a transverse wave on a string traveling along the…

The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8Hz. The length of the oscillating portion of a D-string on a certain guitar is 0.616m. This same length of string is weighed and found have a mass of 1.72×10−3kg. Part (a) At what tension, in newtons, is the D-string properly tuned? Part (b) What is the wavelength, in meters, of the standing wave in the D-string when it is oscillating at its third harmonic, which is also called its second overtone? Part (c) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string. Part (d) The guitarist shortens the oscillating length of the properly tuned D-string by 0.138m by pressing on the string with a finger. What is the new fundamental frequency, in hertz, of the shortened string?

Two strings, A and B, have respective mass densities A and py respectively. The linear mass density, Hp. of string-B is nine times that of string-A (H = 9). If both strings have the same fundamental frequency when kept at the same tension, then the ratio of their lengths L/LA is equal to: O 1/3 1/9 O 3 9.

Chapter 14 Solutions

Physics (5th Edition)

Ch. 14.1 - Rank the following systems in order of increasing...Ch. 14.2 - Suppose the tension in a string is doubled, its...Ch. 14.3 - A particular harmonic wave is described by the...Ch. 14.4 - Which is faster: wave 1 in medium 1 with a...Ch. 14.5 - Enhance Your Understanding (Answers given at the...Ch. 14.6 - Observer 1 approaches a stationary 1000-Hz source...Ch. 14.7 - Prob. 7EYU Ch. 14.8 - When a string oscillates with the standing wave...Ch. 14.9 - Rank the following systems in order of increasing...Ch. 14 - A long nail has been driven halfway into the side...

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