Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 18, Problem 52PQ
To determine
The minimum harmonic number in each of the portions A and B of the pipe for which they have the same frequency.
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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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- As shown in Figure P14.37, water is pumped into a tall, vertical cylinder at a volume flow rate R. The radius of the cylinder is r, and at the open top of the cylinder a tuning fork is vibrating with a frequency f. As the water rises, what time interval elapses between successive resonances? Figure P14.37 Problems 37 and 38.arrow_forwardA block of mass M is connected to a spring of mass m and oscillates in simple harmonic motion on a frictionless, horizontal track (Fig. P12.69). The force constant of the spring is k, and the equilibrium length is . Assume all portions of the spring oscillate in phase and the velocity of a segment of the spring of length dx is proportional to the distance x from the fixed end; that is, vx = (x/) v. Also, notice that the mass of a segment of the spring is dm = (m/) dx. Find (a) the kinetic energy of the system when the block has a speed v and (b) the period of oscillation. Figure P12.69arrow_forwardReview. Consider the apparatus shown in Figure P14.68a, where the hanging object has mass M and the string is vibrating in its second harmonic. The vibrating blade at the left maintains a constant frequency. The wind begins to blow to the right, applying a constant horizontal force on the hanging object. What is the magnitude of the force the wind must apply to the hanging object so that the string vibrates in its first harmonic as shown in Figure 14.68b? Figure P14.68arrow_forward
- A spherical bob of mass m and radius R is suspended from a fixed point by a rigid rod of negligible mass whose length from the point of support to the center of the bob is L (Fig. P16.75). Find the period of small oscillation. N The frequency of a physical pendulum comprising a nonuniform rod of mass 1.25 kg pivoted at one end is observed to be 0.667 Hz. The center of mass of the rod is 40.0 cm below the pivot point. What is the rotational inertia of the pendulum around its pivot point?arrow_forwardA block of mass m rests on a frictionless, horizontal surface and is attached to two springs with spring constants k1 and k2 (Fig. P16.22). It is displaced to the right and released. Find an expression for the angular frequency of oscillation of the resulting simple harmonic motion. FIGURE P16.22 Problems 22 and 81.arrow_forwardA string with a mass m = 8.00 g and a length L = 5.00 m has one end attached to a wall; the other end is draped over a small, fixed pulley a distance d = 4.00 m from the wall and attached to a hanging object with a mass M = 4.00 kg as in Figure P14.21. If the horizontal part of the string is plucked, what is the fundamental frequency of its vibration? Figure P14.21arrow_forward
- A very light rigid rod of length 0.500 m extends straight out from one end of a meter-stick. The combination is suspended from a pivot at the upper end of the rod as shown in Figure P12.31. The combination is then pulled out by a small angle and released. (a) Determine the period of oscillation of the system. (b) By what percentage does the period differ from the period of a simple pendulum 1.00 m long? Figure P12.31arrow_forwardA Two springs, with spring constants k1 and k2, are connected to a block of mass m on a frictionless, horizontal table (Fig. P16.80). The block is extended a distance x from equilibrium and released from rest. Show that the block executes simple harmonic motion with a period given by T=2m(k1+k2)k1k2 FIGURE P16.80arrow_forwardWhich of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.arrow_forward
- When a block of mass M, connected to the end of a spring of mass ms = 7.40 g and force constant k, is set into simple harmonic motion, the period of its motion is T=2M+(ms/3)k A two-part experiment is conducted with the use of blocks of various masses suspended vertically from the spring as shown in Figure P15.76. (a) Static extensions of 17.0, 29.3, 35.3, 41.3, 47.1, and 49.3 cm are measured for M values of 20.0, 40.0, 50.0, 60.0, 70.0, and 80.0 g, respectively. Construct a graph of Mg versus x and perform a linear least-squares fit to the data. (b) From the slope of your graph, determine a value for k for this spring. (c) The system is now set into simple harmonic motion, and periods are measured with a stopwatch. With M = 80.0 g, the total time interval required for ten oscillations is measured to be 13.41 s. The experiment is repeated with M values of 70.0, 60.0, 50.0, 40.0, and 20.0 g, with corresponding time intervals for ten oscillations of 12.52, 11.67, 10.67, 9.62, and 7.03 s. Make a table of these masses and times. (d) Compute the experimental value for T from each of these measurements. (e) Plot a graph of T2 versus M and (f) determine a value for k from the slope of the linear least-squares fit through the data points. (g) Compare this value of k with that obtained in part (b). (h) Obtain a value for ms from your graph and compare it with the given value of 7.40 g.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_forward
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SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY