University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 15, Problem 15.51P
Three pieces of string, each of length L, are joined together end to end, to make a combined string of length 3L. The first piece of siring has mass per unit length μ1, the second piece has mass per unit length μ2 = 4μ1 and the third piece has mass per unit length μ3 = μ1/4. (a) If the combined string is under tension F, how much time does it take a transverse wave to travel the entire length 3L? Give your answer in terms of L, F, and μ1. (b) Does your answer to part (a) depend on the order in which the three pieces are joined together? Explain.
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Three pieces of string, each of length L, are joined together end to end, to make a combined string of length 3L. The first piece of string has a mass per unit length μ1, the second piece has a mass per unit length of 1/3μ1, and the third piece has a mass per unit length of 2μ1.
(a) If the combined string is under tension F, how much time does it take a transverse wave to travel the entire length of 3L? Give your answer in terms of L, F, and μ1.
(b) Does your answer to part (a) depend on the order in which the three pieces are joined together? Explain.
Chapter 15 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 15.1 - What type of wave is the wave shown in Fig. 15.2?...Ch. 15.2 - If you double the wavelength of a wave on a...Ch. 15.3 - Figure 15.8 shows a sinusoidal wave of period T on...Ch. 15.4 - The six strings of a guitar are the same length...Ch. 15.5 - Four identical strings each carry a sinusoidal...Ch. 15.6 - Figure 15.22 shows two wave pulses with different...Ch. 15.7 - Suppose the frequency of the standing wave in...Ch. 15.8 - Prob. 15.8TYUCh. 15 - Two waves travel on the same string. Is it...Ch. 15 - Under a tension F, it takes 2.00 s for a pulse to...
Ch. 15 - What kinds of energy are associated with waves on...Ch. 15 - The amplitude of a wave decreases gradually as the...Ch. 15 - Prob. 15.5DQCh. 15 - The speed of ocean waves depends on the depth of...Ch. 15 - Is it possible to have a longitudinal wave on a...Ch. 15 - For transverse waves on a string, is the wave...Ch. 15 - The four strings on a violin have different...Ch. 15 - Prob. 15.10DQCh. 15 - Prob. 15.11DQCh. 15 - Prob. 15.12DQCh. 15 - In a transverse wave on a string, the motion of...Ch. 15 - Energy can be transferred along a string by wave...Ch. 15 - Prob. 15.15DQCh. 15 - If you stretch a rubber band and pluck it, you...Ch. 15 - A musical interval of an octave corresponds to a...Ch. 15 - By touching a string lightly at its center while...Ch. 15 - Prob. 15.19DQCh. 15 - Violins are short instruments, while cellos and...Ch. 15 - What is the purpose of the frets on a guitar? In...Ch. 15 - The speed of sound in air at 20C is 344 m/s. (a)...Ch. 15 - BIO Audible Sound. Provided the amplitude is...Ch. 15 - Prob. 15.3ECh. 15 - BIO Ultrasound Imaging. Sound having frequencies...Ch. 15 - Prob. 15.5ECh. 15 - A fisherman notices that his boat is moving up and...Ch. 15 - Transverse waves on a siring have wave speed 8.00...Ch. 15 - Prob. 15.8ECh. 15 - Prob. 15.9ECh. 15 - A water wave traveling in a straight line on a...Ch. 15 - A sinusoidal wave is propagating along a stretched...Ch. 15 - CALC Speed of Propagation vs. Particle Speed. (a)...Ch. 15 - A transverse wave on a string has amplitude 0.300...Ch. 15 - Prob. 15.14ECh. 15 - One end of a horizontal rope is attached to a...Ch. 15 - With what tension must a rope with length 2.50 m...Ch. 15 - Prob. 15.17ECh. 15 - A 1.50-m string of weight 0.0125 N is tied to the...Ch. 15 - A thin, 75.0-cm wire has a mass of 16.5 g. One end...Ch. 15 - A heavy rope 6.00 m long and weighing 29.4 N is...Ch. 15 - A simple harmonic oscillator at the point x = 0...Ch. 15 - A piano wire with mass 3.00 g and length 80.0 cm...Ch. 15 - Prob. 15.23ECh. 15 - Prob. 15.24ECh. 15 - A jet plane at takeoff can produce sound of...Ch. 15 - Threshold of Pain. You are investigating the...Ch. 15 - Energy Output. By measurement you determine that...Ch. 15 - A fellow student with a mathematical bent tells...Ch. 15 - At a distance of 7.00 1012 m from a star, the...Ch. 15 - Reflection. A wave pulse on a siring has the...Ch. 15 - Reflection. A wave pulse on a string has the...Ch. 15 - Reflection. A wave pulse on a string has the...Ch. 15 - Suppose that the left-traveling pulse in Exercise...Ch. 15 - Two pulses are moving in opposite directions at...Ch. 15 - Interference of Rectangular Pulses. Figure E15.35...Ch. 15 - CALC Adjacent antinodes of a standing wave on a...Ch. 15 - Prob. 15.37ECh. 15 - Prob. 15.38ECh. 15 - A wire with mass 40.0 g is stretched so that its...Ch. 15 - A piano tuner stretches a steel piano wire with a...Ch. 15 - CALC A thin, taut string tied at both ends and...Ch. 15 - Prob. 15.42ECh. 15 - Prob. 15.43ECh. 15 - Prob. 15.44ECh. 15 - Prob. 15.45ECh. 15 - Prob. 15.46ECh. 15 - Guitar String. One of the 63.5-cm-long strings of...Ch. 15 - A transverse wave on a rope is given by...Ch. 15 - CALC A transverse sine wave with an amplitude of...Ch. 15 - CP A 1750-N irregular beam is hanging horizontally...Ch. 15 - Three pieces of string, each of length L, are...Ch. 15 - Weightless Ant. An ant with mass m is standing...Ch. 15 - You must determine the length of a long, thin wire...Ch. 15 - Music. You are designing a two-string instrument...Ch. 15 - CP A 5.00-m, 0.732-kg wire is used to support two...Ch. 15 - A uniform, 8.40-kg, spherical shell 50.0 cm in...Ch. 15 - For a string stretched between two supports, two...Ch. 15 - A 0.800-m-long string with linear mass density =...Ch. 15 - CP A 1.80-m-long uniform bar that weighs 638 N is...Ch. 15 - A continuous succession of sinusoidal wave pulses...Ch. 15 - A horizontal wire is tied to supports at each end...Ch. 15 - CP A vertical, 1.20-m length of 18-gauge (diameter...Ch. 15 - A sinusoidal transverse wave travels on a string....Ch. 15 - A vibrating string 50.0 cm long is under a tension...Ch. 15 - Clothesline Nodes. Cousin Throckmorton is once...Ch. 15 - A strong string of mass 3.00 g and length 2.20 m...Ch. 15 - A thin string 2.50 m in length is stretched with a...Ch. 15 - CALC A guitar string is vibrating in its...Ch. 15 - A uniform cylindrical steel wire, 55.0 cm long and...Ch. 15 - A string with both ends held fixed is vibrating in...Ch. 15 - CP A large rock that weighs 164.0 N is suspended...Ch. 15 - Holding Up Under Stress. A string or rope will...Ch. 15 - Tuning an Instrument. A musician tunes the...Ch. 15 - Prob. 15.74PCh. 15 - DATA In your physics lab, an oscillator is...Ch. 15 - DATA You are measuring the frequency dependence of...Ch. 15 - CP CALC A deep-sea diver is suspended beneath the...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...Ch. 15 - BIO WAVES ON VOCAL FOLDS. In the larynx, sound is...
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