Physics for Scientists and Engineers: Foundations and Connections
15th Edition
ISBN: 9781305289963
Author: Debora M. Katz
Publisher: Cengage Custom Learning
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Textbook Question
Chapter 18, Problem 2PQ
Two pulses travel in opposite directions along a string. One pulse is traveling to the right. The other pulse is inverted, with half the width and twice the amplitude of the first pulse, moving to the left as shown in Figure P18.2. Sketch the shape of the string at the moment in time when the centers of each pulse are at the same location.
FIGURE P18.2
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Chapter 18 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 18.1 - As shown in Figure 18.3, two pulses trawling along...Ch. 18.1 - Prob. 18.2CECh. 18.2 - A wave pulse travels to the left on a rope as...Ch. 18.3 - Noise cancellation headphones use a microphone to...Ch. 18.8 - Tuning the Guitar Before a performance, a piano is...Ch. 18 - Prob. 1PQCh. 18 - Two pulses travel in opposite directions along a...Ch. 18 - Prob. 3PQCh. 18 - Prob. 4PQCh. 18 - Prob. 5PQ
Ch. 18 - The wave function for a pulse on a rope is given...Ch. 18 - Prob. 7PQCh. 18 - Prob. 8PQCh. 18 - Prob. 9PQCh. 18 - Prob. 10PQCh. 18 - Prob. 11PQCh. 18 - Two speakers, facing each other and separated by a...Ch. 18 - Prob. 13PQCh. 18 - Prob. 14PQCh. 18 - Prob. 15PQCh. 18 - As in Figure P18.16, a simple harmonic oscillator...Ch. 18 - A standing wave on a string is described by the...Ch. 18 - The resultant wave from the interference of two...Ch. 18 - A standing transverse wave on a string of length...Ch. 18 - Prob. 20PQCh. 18 - Prob. 21PQCh. 18 - Prob. 22PQCh. 18 - Prob. 23PQCh. 18 - A violin string vibrates at 294 Hz when its full...Ch. 18 - Two successive harmonics on a string fixed at both...Ch. 18 - Prob. 26PQCh. 18 - When a string fixed at both ends resonates in its...Ch. 18 - Prob. 28PQCh. 18 - Prob. 29PQCh. 18 - A string fixed at both ends resonates in its...Ch. 18 - Prob. 31PQCh. 18 - Prob. 32PQCh. 18 - Prob. 33PQCh. 18 - If you touch the string in Problem 33 at an...Ch. 18 - A 0.530-g nylon guitar string 58.5 cm in length...Ch. 18 - Prob. 36PQCh. 18 - Prob. 37PQCh. 18 - A barrel organ is shown in Figure P18.38. Such...Ch. 18 - Prob. 39PQCh. 18 - Prob. 40PQCh. 18 - The Channel Tunnel, or Chunnel, stretches 37.9 km...Ch. 18 - Prob. 42PQCh. 18 - Prob. 43PQCh. 18 - Prob. 44PQCh. 18 - If the aluminum rod in Example 18.6 were free at...Ch. 18 - Prob. 46PQCh. 18 - Prob. 47PQCh. 18 - Prob. 48PQCh. 18 - Prob. 49PQCh. 18 - Prob. 50PQCh. 18 - Prob. 51PQCh. 18 - Prob. 52PQCh. 18 - Prob. 53PQCh. 18 - Dog whistles operate at frequencies above the...Ch. 18 - Prob. 55PQCh. 18 - Prob. 56PQCh. 18 - Prob. 57PQCh. 18 - Prob. 58PQCh. 18 - Prob. 59PQCh. 18 - Prob. 60PQCh. 18 - Prob. 61PQCh. 18 - Prob. 62PQCh. 18 - The functions y1=2(2x+5t)2+4andy2=2(2x5t3)2+4...Ch. 18 - Prob. 64PQCh. 18 - Prob. 65PQCh. 18 - Prob. 66PQCh. 18 - Prob. 67PQCh. 18 - Prob. 68PQCh. 18 - Two successive harmonic frequencies of vibration...Ch. 18 - Prob. 70PQCh. 18 - Prob. 71PQCh. 18 - Prob. 72PQCh. 18 - A pipe is observed to have a fundamental frequency...Ch. 18 - The wave function for a standing wave on a...Ch. 18 - Prob. 75PQCh. 18 - Prob. 76PQCh. 18 - Prob. 77PQCh. 18 - Prob. 78PQCh. 18 - Prob. 79PQCh. 18 - Prob. 80PQ
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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 string shown in Figure P13.5 is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 12.0 cm, and the wave speed is v = 20.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t = 0. Determine (a) the angular frequency and (b) the wave number for this wave. (c) Write an expression for the wave function. Calculate (d) the maximum transverse speed and (e) the maximum transverse acceleration of an element of the string. Figure P13.5arrow_forward
- A block of mass m = 5.00 kg is suspended from a wire that passes over a pulley and is attached to a wall (Fig. P17.71). Traveling waves are observed to have a speed of 33.0 m/s on the wire. a. What is the mass per unit length of the wire? b. What would the speed of waves on the wire be if the suspended mass were decreased to 2.50 kg? FIGURE P17.71arrow_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_forwardA barrel organ is shown in Figure P18.38. Such organs are much smaller than traditional organs, allowing them to fit in smaller spaces and even allowing them to be portable. Use the photo to estimate the range in fundamental frequencies produced by the organ pipes in such an instrument. Assume the pipes are open at both ends. How does that range compare to a piano whose strings range in fundamental frequency from 21.7 Hz to 4186.0 Hz? FIGURE P18.38arrow_forward
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