Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 17, Problem 43AP

(a)

To determine

The factor by which the frequency should be changed so that same number of antinodes are produced.

(b)

To determine

The tension that produced n+1 antinodes keeping the frequency and length constant.

(c)

To determine

The factor by which the tension should be changed to produce twice as many antinodes if the frequency is tripled and length of the string is halved.

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A standing wave is set up in a string of variable length and tension by a vibrator of variable frequency. Both ends of the string are fixed. When the vibrator has a frequency f, in a string of length L and under tension T, n antinodes are set up in the string. (a) If the length of the string is doubled, by what factor should the frequency be changed so that the same number of antinodes is produced? (b) If the frequency and length are held constant, what tension will produce n + 1 antinodes? (c) If the frequency is tripledand the length of the string is halved, by what factor should the tension be changed so that twice as many antinodes are produced?
A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 89 m/s. At t = 0, the string particle at x = 0 has a transverse displacement of 4.2 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = 0 is 17 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If the wave equation is of the form y(x, t) (c) Ym, (d) k, (e) w, (f) p, and (g) the correct choice of sign in front of w? = Ym sin(kx ± wt + p), what are (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units
A 125 cm length of string has mass 2.00 g and tension 7.00 N. (a) What is the wave speed for this string? (b) What is the lowest resonant frequency of this string?

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Physics for Scientists and Engineers with Modern Physics

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