Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 13, Problem 18P
Review. A light string with a mass per unit length of 8.00 g/m has its ends tied to two walls separated by a distance equal to three-fourths the length of the string (Fig. P13.18). An object of mass m is suspended from the center of the string, putting a tension in the string. (a) Find an expression for the transverse wave speed in the string as a function of the mass of the hanging object. (b) What should be the mass of the object suspended from the string if the wave speed is to be 60.0 m/s?
Figure P13.18
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Chapter 13 Solutions
Principles of Physics: A Calculus-Based Text
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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- Review. A sphere of mass M is supported by a string that passes over a pulley at the end of a horizontal rod of length L (Fig. P14.25). The string makes an angle θ with the rod. The fundamental frequency of standing waves in the portion of the string above the rod is f. Find the mass of the portion of the string above the rod. Figure P14.25 Problems 25 and 26.arrow_forwardAs in Figure P18.16, a simple harmonic oscillator is attached to a rope of linear mass density 5.4 102 kg/m, creating a standing transverse wave. There is a 3.6-kg block hanging from the other end of the rope over a pulley. The oscillator has an angular frequency of 43.2 rad/s and an amplitude of 24.6 cm. a. What is the distance between adjacent nodes? b. If the angular frequency of the oscillator doubles, what happens to the distance between adjacent nodes? c. If the mass of the block is doubled instead, what happens to the distance between adjacent nodes? d. If the amplitude of the oscillator is doubled, what happens to the distance between adjacent nodes? FIGURE P18.16arrow_forwardThe equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?arrow_forward
- By what factor would you have to multiply the tension in a stretched string so as to double the wave speed? Assume the string does not stretch. (a) a factor of 8 (b) a factor of 4 (c) a factor of 2 (d) a factor of 0.5 (e) You could not change the speed by a predictable factor by changing the tension.arrow_forwardReview. A block of mass M, supported by a string, rests on a frictionless incline making an angle with the horizontal (Fig. P13.50). The length of the string is L, and its mass is m M. Derive an expression for the time interval required for a transverse wave to travel from one end of the string to the other. Figure P13.50arrow_forwardReview. For the arrangement shown in Figure P14.60, the inclined plane and the small pulley are frictionless; the string supports the object of mass M at the bottom of the plane; and the string has mass m. The system is in equilibrium, and the vertical part of the string has a length h. We wish to study standing waves set up in the vertical section of the string. (a) What analysis model describes the object of mass M? (b) What analysis model describes the waves on the vertical part of the string? (c) Find the tension in the string. (d) Model the shape of the string as one leg and the hypotenuse of a right triangle. Find the whole length of the string. (e) Find the mass per unit length of the string. (f) Find the speed of waves on the string. (g) Find the lowest frequency for a standing wave on the vertical section of the string. (h) Evaluate this result for M = 1.50 kg, m = 0.750 g, h = 0.500 m, and θ = 30.0°. (i) Find the numerical value for the lowest frequency for a standing wave on the sloped section of the string. Figure P14.60arrow_forward
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Wave Speed on a String - Tension Force, Intensity, Power, Amplitude, Frequency - Inverse Square Law; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=vEzftaDL7fM;License: Standard YouTube License, CC-BY
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