Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 14, Problem 18P
(a)
To determine
The frequency of the vibrator
(b)
To determine
The mass of the largest object
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
P 18-27
In the arrangement shown in the figure below, an object can be hung from a string (with linear mass density
µ = 0.002 00 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant
frequency f), and the length of the string between point P and the pulley is L = 2.00 m. When the mass m of
the object is either 16.0 kg or 25.0 kg, standing waves are observed; no standing waves are observed with
any mass between these values, however.
page-559
(a) What is the frequency of the vibrator? Note: The greater the tension in the string, the smaller the
number of nodes in the standing wave.
(b) What is the largest object mass for which standing waves could be observed?
Vībrator -
A cord is connected to a vibrating machine which has a frequency of 120 Hz. The linear mass density
of the string is u = 0.05 kg/m. The other end of the string is passed over a pulley of negligible mass and
friction and holds a mass m = 5 kg. (Take g = 10 N/kg). The length of the string is:
1.53 m
1.23 m
0.79 m
0.47 m
A string has length 2.0 m, tension 60 N, and linear density 0.080 kg/m. The left
end of the string is connected to a massless ring that slides on a frictionless pole,
and the ring is attached to a spring of stiffness 150 N/m. The right end is attached
to a massless ring that slides on a frictionless pole. The left end of the string is
driven by a transverse force of amplitude 4.0 N and frequency 21 Hz.
F(t)
X = 0
x = L
1. Determine the distance (in m) between adjacent nodes of the steady-state
standing wave produced by the force.
Chapter 14 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 14.1 - Prob. 14.1QQCh. 14.2 - Prob. 14.2QQCh. 14.3 - When a standing wave is set up on a string fixed...Ch. 14.4 - Prob. 14.4QQCh. 14.4 - Prob. 14.5QQCh. 14.5 - You are tuning a guitar by comparing the sound of...Ch. 14 - A flute has a length of 58.0 cm. If the speed of...Ch. 14 - Prob. 2OQCh. 14 - In Figure OQ14.3, a sound wave of wavelength 0.8 m...Ch. 14 - Prob. 4OQ
Ch. 14 - Prob. 5OQCh. 14 - Prob. 6OQCh. 14 - Prob. 7OQCh. 14 - Prob. 8OQCh. 14 - Prob. 9OQCh. 14 - Prob. 10OQCh. 14 - A standing wave having three nodes is set up in a...Ch. 14 - Prob. 1CQCh. 14 - Prob. 2CQCh. 14 - Prob. 3CQCh. 14 - Prob. 4CQCh. 14 - What limits the amplitude of motion of a real...Ch. 14 - Prob. 6CQCh. 14 - Prob. 7CQCh. 14 - Prob. 8CQCh. 14 - Prob. 1PCh. 14 - Prob. 2PCh. 14 - Prob. 3PCh. 14 - Prob. 4PCh. 14 - Prob. 5PCh. 14 - Prob. 6PCh. 14 - Prob. 7PCh. 14 - Prob. 8PCh. 14 - Prob. 9PCh. 14 - Prob. 10PCh. 14 - Prob. 11PCh. 14 - Prob. 12PCh. 14 - Prob. 13PCh. 14 - Prob. 14PCh. 14 - Prob. 15PCh. 14 - Prob. 16PCh. 14 - Prob. 17PCh. 14 - Prob. 18PCh. 14 - Prob. 19PCh. 14 - Prob. 20PCh. 14 - A string with a mass m = 8.00 g and a length L =...Ch. 14 - Prob. 22PCh. 14 - Prob. 23PCh. 14 - Prob. 24PCh. 14 - Prob. 25PCh. 14 - Review. A sphere of mass M is supported by a...Ch. 14 - Prob. 27PCh. 14 - Prob. 28PCh. 14 - Prob. 29PCh. 14 - Prob. 30PCh. 14 - Prob. 31PCh. 14 - The overall length of a piccolo is 32.0 cm. The...Ch. 14 - Prob. 33PCh. 14 - Prob. 34PCh. 14 - Two adjacent natural frequencies of an organ pipe...Ch. 14 - Do not stick anything into your ear! Estimate the...Ch. 14 - Prob. 37PCh. 14 - As shown in Figure P14.37, water is pumped into a...Ch. 14 - Prob. 39PCh. 14 - Prob. 40PCh. 14 - Prob. 41PCh. 14 - Why is the following situation impossible? A...Ch. 14 - 23. An air column in a glass tube is open at one...Ch. 14 - Prob. 44PCh. 14 - Prob. 45PCh. 14 - Prob. 46PCh. 14 - Prob. 47PCh. 14 - Prob. 48PCh. 14 - Some studies suggest that the upper frequency...Ch. 14 - Prob. 50PCh. 14 - An earthquake can produce a seiche in a lake in...Ch. 14 - Prob. 52PCh. 14 - Prob. 53PCh. 14 - Prob. 54PCh. 14 - Prob. 55PCh. 14 - A nylon string has mass 5.50 g and length L = 86.0...Ch. 14 - Prob. 57PCh. 14 - Prob. 58PCh. 14 - Prob. 59PCh. 14 - Review. For the arrangement shown in Figure...Ch. 14 - Prob. 61PCh. 14 - Prob. 62PCh. 14 - Prob. 63PCh. 14 - Prob. 64PCh. 14 - Prob. 65PCh. 14 - Prob. 66PCh. 14 - Prob. 67PCh. 14 - Review. Consider the apparatus shown in Figure...Ch. 14 - Prob. 69P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A nylon string has mass 5.50 g and length L = 86.0 cm. The lower end is tied to the floor, and the upper end is tied to a small set of wheels through a slot in a track on which the wheels move (Fig. P14.56). The wheels have a mass that is negligible compared with that of the string, and they roll without friction on the track so that the upper end of the string is essentially free. At equilibrium, the string is vertical and motionless. When it is carrying a small-amplitude wave, you may assume the string is always under uniform tension 1.30 N. (a) Find the speed of transverse waves on the string. (b) The strings vibration possibilities are a set of standing-wave states, each with a node at the fixed bottom end and an anti-node at the free top end. Find the nodeantinode distances for each of the three simplest states. (c) Find the frequency of each of these states. Figure P14.56arrow_forwardWe do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.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_forward
- A string has length 2.0 m, tension 60 N, and linear density 0.080 kg/m. The left end of the string is connected to a massless ring that slides on a frictionless pole, and the ring is attached to a spring of stiffness 150 N/m. The right end is attached to a massless ring that slides on a frictionless pole. The left end of the string is driven by a transverse force of amplitude 4.0 N and frequency 21 Hz. F(t) S x = 0 x = L 2. The input mechanical impedance (at x = 0) is Zmo = s/im + ipLc tan(kL). Using established impedances (do not calculate), explain why the input impedance is given by this expression. Evaluate the impedance for the specified values of the system. Be sure to show the units. Note: In the computation of the tangent, do not round off the value of k. From the value of the impedance, determine the steady-state velocity amplitude (in m/s) of the left ring.arrow_forwardA 2.1kg , 20cm-diameter turntable rotates at 130rpm on frictionless bearings. Two 530g blocks fall from above, hit the turntable simultaneously at opposite ends of a diameter, and stick. What is the turntable's angular velocity, in rpm, just after this event?arrow_forwardA steel propeller shaft is to transmit 4.5 MW at 3 Hz without exceeding a sheering stress of 50 MPa or twisting through more than 1 degree in a length of 26 diameter (G= 83 GPa) A. Find the maximum torque applied in the steel propeller shaft? B. What is the proper diameter for the steel shaft?arrow_forward
- One end of a horizontal rope is attached to a prong of an electrically driven tuning fork that vibrates at 150 HzHz . The other end passes over a pulley and supports a 2.50 kgkg mass. The linear mass density of the rope is 0.070 kg/mkg/m . For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Mineral samples in a mine shaft. 1.What is the speed of a transverse wave on the rope? Express your answer in meters per second. 2.What is the wavelength? Express your answer in meters. 3.How would your answers to part (A) change if the mass were increased to 5.00 kgkg ? Express your answer in meters per second. 4.How would your answers to part (B) change if the mass were increased to 5.00 kgkg ? Express your answer in meters.arrow_forwardthe engine of a small airplane has a torque of 60Nm. the engine drives a 2.0m long, 50kg propeller. on start-up, how long does it take the propeller to reach 200rpm? treat the propeller as a rigid rod.arrow_forwardA professor sits on a rotating stool that is spinning at 10.010.0 rpm while she holds a heavy weight in each of her hands. Her outstretched hands are 0.805 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 20.5rpm. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in?arrow_forward
- P13.195 A 500 g block is released from rest after a spring of constant k=800 N/m has been compressed 200 mm. Determine the force exerted by the loop ABCD on the block as the block passes through (a) point A, (b) point B, (c) point C. Assume no friction. B 600 mm сarrow_forwardA captive James Bond is strapped to a table beneath a huge pendulum made of a 2.0-m-diameter uniform circular metal blade rigidly attached, at its top edge, to a 7.5-m-long, massless rod. The pendulum is set swinging with a 10° amplitude when its lower edge is 4.0 m above the prisoner, then the table slowly starts ascending at 1.0 mm/s. After 25 minutes, the pendulum's amplitude has decreased to 7.0°. Fortunately, the prisoner is freed with a mere 30 s to spare. Part A What was the speed of the lower edge of the blade as it passed over him for the last time? Express your answer with the appropriate units. OM μÀ 4 A ? Value Units Submit Request Answerarrow_forwardAfter landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 48.0 cm . The explorer finds that the pendulum completes 91.0 full swing cycles in a time of 138 s . What is the magnitude of the gravitational acceleration on this planet? A pendulum has a period of 1.85 s on Earth. What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth? A 330 kg wooden raft floats on a lake. When a 70 kg man stands on the raft, it sinks 4.0 cm deeper into the water. When he steps off, the raft vibrates for a while. What is the frequency of vibration?What is the total energy of vibration (ignoring damping)?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
What Are Sound Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=GW6_U553sK8;License: Standard YouTube License, CC-BY