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
Question
Chapter 23.3, Problem 23.5QQ
To determine
The reason for the decay of oscillations
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Problem 19: While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every T = 6.5 seconds.Randomized VariablesT = 6.5 seconds
Part (a) Calculate the frequency of oscillation (in Hertz) of the chandelier.
Part (b) Calculate the angular frequency ω of the chandelier in radians/second. Part (c) Determine the length L in meters of the chandelier. Part (d) That evening, while hanging out in J.J. Thompson’s House O’ Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is T + 0.11 seconds. Determine the acceleration due to gravity in m/s2 at the club.
Water flowing from an oscillating sprinkler head produces a velocity fieldgiven by~v = u0 sin[ω(t −y/v0)]ˆi + v0ˆj.where u0, v0 and ω are constants (which you are free to assign and experi-ment with). Thus, the y component of velocity remains constant (vy= v0)and the x component of velocity at y = 0 coincides with the velocity of theoscillating sprinkler head [vx= u0 sin(ωt) at y = 0].(a) Write a program to plot the velocity field and a few streamlines for afixed value of t. Include the capability of varying t in the streamlinesand velocity field plot.(b) On a separate figure plot a few pathlines of particles which emergefrom the point (0,0) at some time prior to time t and the correspondingstreakline at time t.(c) Describe the pathlines and streakline for this flow.
A small bar magnet having a magnetic
moment of 9×10-³ A-m² is suspended at its centre of gravity
by a light torsionless string at a distance of 10-2 m vertically
above a long, straight horizontal wire carrying a current of
1.0 A from east to west. Find the frequency of oscillation of the
magnet about its equilibrium position. The moment of inertia
of the magnet is 6 × 10-9 kg-m². (H = 3 × 10-5 T).
Chapter 23 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 23.1 - A circular loop of wire is held in a uniform...Ch. 23.1 - Prob. 23.2QQCh. 23.2 - You wish to move a rectangular loop of wire into a...Ch. 23.2 - Prob. 23.4QQCh. 23.3 - Prob. 23.5QQCh. 23.4 - In a region of space, a magnetic field is uniform...Ch. 23.6 - Prob. 23.7QQCh. 23.6 - Prob. 23.8QQCh. 23.7 - Prob. 23.9QQCh. 23 - Prob. 1OQ
Ch. 23 - Prob. 2OQCh. 23 - Prob. 3OQCh. 23 - A circular loop of wire with a radius of 4.0 cm is...Ch. 23 - A rectangular conducting loop is placed near a...Ch. 23 - Prob. 6OQCh. 23 - Prob. 7OQCh. 23 - Prob. 8OQCh. 23 - A square, flat loop of wire is pulled at constant...Ch. 23 - The bar in Figure OQ23.10 moves on rails to the...Ch. 23 - Prob. 11OQCh. 23 - Prob. 12OQCh. 23 - A bar magnet is held in a vertical orientation...Ch. 23 - Prob. 14OQCh. 23 - Two coils are placed near each other as shown in...Ch. 23 - A circuit consists of a conducting movable bar and...Ch. 23 - Prob. 17OQCh. 23 - Prob. 1CQCh. 23 - Prob. 2CQCh. 23 - Prob. 3CQCh. 23 - Prob. 4CQCh. 23 - Prob. 5CQCh. 23 - Prob. 6CQCh. 23 - Prob. 7CQCh. 23 - Prob. 8CQCh. 23 - Prob. 9CQCh. 23 - Prob. 10CQCh. 23 - Prob. 11CQCh. 23 - Prob. 12CQCh. 23 - Prob. 13CQCh. 23 - Prob. 14CQCh. 23 - Prob. 15CQCh. 23 - Prob. 16CQCh. 23 - Prob. 1PCh. 23 - An instrument based on induced emf has been used...Ch. 23 - A flat loop of wire consisting of a single turn of...Ch. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - A loop of wire in the shape of a rectangle of...Ch. 23 - When a wire carries an AC current with a known...Ch. 23 - Prob. 9PCh. 23 - Prob. 10PCh. 23 - Prob. 11PCh. 23 - A piece of insulated wire is shaped into a figure...Ch. 23 - A coil of 15 turns and radius 10.0 cm surrounds a...Ch. 23 - Prob. 14PCh. 23 - Figure P23.15 shows a top view of a bar that can...Ch. 23 - Prob. 16PCh. 23 - Prob. 17PCh. 23 - A metal rod of mass m slides without friction...Ch. 23 - Review. After removing one string while...Ch. 23 - Prob. 20PCh. 23 - The homopolar generator, also called the Faraday...Ch. 23 - Prob. 22PCh. 23 - A long solenoid, with its axis along the x axis,...Ch. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - A coil of area 0.100 m2 is rotating at 60.0 rev/s...Ch. 23 - A magnetic field directed into the page changes...Ch. 23 - Within the green dashed circle shown in Figure...Ch. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Prob. 32PCh. 23 - Prob. 33PCh. 23 - Prob. 34PCh. 23 - Prob. 35PCh. 23 - Prob. 36PCh. 23 - Prob. 37PCh. 23 - Prob. 38PCh. 23 - Prob. 39PCh. 23 - Prob. 40PCh. 23 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - Prob. 43PCh. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - Prob. 47PCh. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - Prob. 51PCh. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Prob. 54PCh. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - Prob. 57PCh. 23 - Figure P23.58 is a graph of the induced emf versus...Ch. 23 - Prob. 59PCh. 23 - Prob. 60PCh. 23 - The magnetic flux through a metal ring varies with...Ch. 23 - Prob. 62PCh. 23 - Prob. 63PCh. 23 - Prob. 64PCh. 23 - Prob. 65PCh. 23 - Prob. 66PCh. 23 - Prob. 67PCh. 23 - Prob. 68PCh. 23 - Prob. 69PCh. 23 - Prob. 70PCh. 23 - Prob. 71PCh. 23 - Prob. 72PCh. 23 - Review. The use of superconductors has been...Ch. 23 - Prob. 74PCh. 23 - Prob. 75P
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 vertical spring with constant k = 5 N/m and damping constant β = 6 kg/s has one end fixed to a wall, and a mass of 98 kg at the other end. Being in the position of equilibrium, the mass is propelled downward with a speed of 4 m/s. Suppose that on the system an external force acts in newtons given by f(t) = 8e^ −t What is the diferential equation and conditions that allow to find the position of the spring as function of a time t, with t in secondsarrow_forwardThe switch in the figure is closed on a at time t = 0. What is the ratio εL/ε (a) just after t = 0 and (b) at t = 3.10τL? (c) At what multiple of τL will εL/ε = 0.500?arrow_forwardA physics lab instructor is working on a new demonstration. She attaches two identical conducting spheres with mass m = 0.190 g to cords of length Las shown in the figure. There are two strings in the figure. The top of each string is connected to the ceiling, and both strings are connected at the same point. The bottom of each string is connected to a spherical mass labeled m. Both strings have length Land hang at an angle of θto the vertical, with the two strings on opposite sides of the vertical. Both spheres have the same charge of 8.00 nC, and are in static equilibrium when θ = 5.45°. What is L (in m)? Assume the cords are massless. m (b) What If? The charge on both spheres is increased until each cord makes an angle of θ = 10.9° with the vertical. If both spheres have the same electric charge, what is the charge (in nC) on each sphere in this case? nCarrow_forward
- Please help me with this problem. Thank you very much!arrow_forwardA vertical spring with constant k = 5 N/m and damping constant β = 6 kg/s has one end fixed to a wall, and a mass of 98 kg at the other end. Being in the position of equilibrium, the mass is propelled downward with a speed of 4 m/s. Suppose that on the system an external force acts in newtons given by f(t) = 8e^ −t What is the diferential equation and conditions that allow to fink the position of the spring as function of the time t, with t in seconds Determine a diferential equation of the position of the mass at any time “t”, with t in secondsarrow_forwardA uniform rod of mass M and length L is free to swing back and forth by pivoting a distance x from its center. It undergoes harmonic oscillations by swinging back and forth under the influence of gravity.Randomized Variables M = 2.4 kgL = 1.6 mx = 0.38 m a) In terms of M, L, and x, what is the rod’s moment of inertia I about the pivot point. b) Calculate the rod’s period T in seconds for small oscillations about its pivot point. c) In terms of L, find an expression for the distance xm for which the period is a minimum.arrow_forward
- When a 0.2 kg mass is hung from a spring, the spring elongates a distance of 0.25 meters from its equilibrium position. The spring is then place sideways on a frictionless table attached to a 0.8 kg mass. It is set into simple harmonic motion at a time 1 = 0sec. The 0.8 kg mass has a speed of 0.327 m/s to the right and is located at a position 0.725 meters. Determine the spring constant (k) of the spring Determine the frequency of oscillation when the spring is attached to the 0.8 kg mass Determine the amplitude of oscillation (A) when the spring is attached to the 0.8 kg mass Determine the phase constant when the position as a function of time is expressed in standard formarrow_forwardThe switch in the figure is closed on a at time t = 0. What is the ratio εL/ε (a) just after t = 0 and (b) at t = 1.76τL? (c)At what multiple of τL will εL/ε = 0.500?arrow_forwardA compact disc (CD) is played by a cd player, which uses a laser to read the tracks on the disc. The disc spins initially at approximately 200 rotations per minute (rpm), and increases to a maximum of approximately 500 rpm as the laser spirals inward towards the center of the disc. This ensures that the laser covers equal distance in an equal amount of time during playback. During the time that the cd is played, which of the following statements is true? A)The laser tracking mechanism experiences a changing tangential velocity B)The laser tracking mechanism experiences a constant angular velocity C)The laser tracking mechanism experiences a non-zero angular acceleration D)The laser tracking mechanism experiences a non-zero tangential accelerationarrow_forward
- Need help on D). I can't seem to get the correct answer. My answers are 24.9, .264 and 24.87 and none of them work in the program. See below The net x-force on a 1-kg oscillating object moving along the x axis is Fx = −b(x − a2x3), where b = 123 and a = 4 in the appropriate SI units.(a) What are the units of a and b?a) Unit of a is _1/m____ (Click to select) 1/m m N*m 1/N N/m N b) Unit of b is _______N/M (Click to select) m/N N N/m 1/m 1/N m N*m . For small oscillations, the force law reduces to the harmonic oscillator law F x ≈≈−k sx, where ks depends on the value of a and/or b.C) What is the frequency of such small oscillations?( Round the answer to two decimal places.)The frequency is 1.77 Hz. (d) How small is "small"? For what range of x will Fx be within 1% of −ksx ? ____cmarrow_forwardIn our discussion class, we found the expression of the angle 0 when the current loop pictured below reaches mechanical equilibrium. Call that angle 0. Now, suppose the loop has been turned to a new angle, 0 = 00 + 8, slightly away from equilibrium (so |8| << 0o), and let go. A simple harmonic oscillation of the loop ensues. Find the expression of the frequency f of the oscillation, and its numerical value if B = 800 mT, Io = 4.0 x 10-3 kg · m² (Moment of inertia about the axis through O), k = 200 N/m , b = 28 cm, and I = 1.6 A. %3D B В k k I Figure TP28.1 527arrow_forwardThe masses of astronauts are monitored during long stays in orbit, such as when visiting a space station. The astronaut is strapped into a chair that is attached to the space station by springs and the period of oscillation of the chair in a frictionless track is measured. The effective force constant of the springs is 888.54 N/m What is the mass of an astronaut who has an oscillation period of 2.00 s when in the chair? The movement of the space station should be negligible. Find the maximum displacement to the 100000 kg space station if the astronaut's motion has an amplitude of 0.100 m.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 LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY