MASTERINGPHYSICS W/ETEXT ACCESS CODE 6
13th Edition
ISBN: 9781269542661
Author: YOUNG
Publisher: PEARSON C
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 14, Problem 14.28E
A harmonic oscillator has angular frequency ω and amplitude A. (a) What are the magnitudes of the displacement and velocity when the elastic potential energy is equal to the kinetic energy? (Assume that U = 0 at equilibrium.) (b) How often does this occur in each cycle? What is the time between occurrences? (c) At an instant when the displacement is equal to A/2, what fraction of the total energy of the system is kinetic and what fraction is potential?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A harmonic oscillator has angular frequency w and amplitudeA. (a) what are the
magnitudes of the displacement and velocity when the elastic potential energy is
equal to the kinetic energy? (Assume that Uet = 0 at equilibrium.) (b) How often
does this occur in each cycle? what is the time between occurrences? (c) At an
instant when the displacement is equal to, what fraction of the total energy of the
system is kinetic and what fraction is potential?
A harmonic oscillator has angular frequency w and amplitude A. What are the magnitudes of the displacement
and velocity when the elastic potential energy is equal to the kinetic energy? (you can assume U = 0 at
equilibrium). How often does this occur in each cycle? What is the time between occurrences? At an instant when
the displacement is equal to A/2, what fraction of the total energy of the system is kinetic and what fraction is
potential?
A harmonic oscillator has angular frequency w and amplitude A. Assume
that the elastic potential energy of the oscillator is zero at x = 0. At an
instant when the displacement is equal to A/5, what fraction of the total
energy of the oscillator is kinetic?
Give the final answer to 2 decimal places.
Chapter 14 Solutions
MASTERINGPHYSICS W/ETEXT ACCESS CODE 6
Ch. 14.1 - A body like that shown in Fig. 14.2 oscillates...Ch. 14.2 - A glider is attached to a spring as shown in Fig....Ch. 14.3 - (a) To double the total energy for a mass-spring...Ch. 14.4 - A block attached to a hanging ideal spring...Ch. 14.5 - When a body oscillating on a horizontal spring...Ch. 14.6 - The center of gravity of a simple pendulum of mass...Ch. 14.7 - An airplane is flying in a straight line at a...Ch. 14.8 - When driven at a frequency near its natural...Ch. 14 - An object is moving with SHM of amplitude A on the...Ch. 14 - Think of several examples in everyday life of...
Ch. 14 - Does a tuning fork or similar tuning instrument...Ch. 14 - A box containing a pebble is attached to an ideal...Ch. 14 - If a uniform spring is cut in half, what is the...Ch. 14 - A glider is attached to a fixed ideal spring and...Ch. 14 - Two identical gliders on an air track are...Ch. 14 - You are captured by Martians, taken into their...Ch. 14 - The system shown in Fig. 14.17 is mounted in an...Ch. 14 - If a pendulum has a period of 2.5 s on earth, what...Ch. 14 - A simple pendulum is mounted in an elevator. What...Ch. 14 - What should you do to the length of the string of...Ch. 14 - If a pendulum clock is taken to a mountaintop,...Ch. 14 - When the amplitude of a simple pendulum increases,...Ch. 14 - Prob. 14.15DQCh. 14 - At what point in the motion of a simple pendulum...Ch. 14 - Could a standard of time be based on the period of...Ch. 14 - For a simple pendulum, clearly distinguish between...Ch. 14 - In designing structures in an earthquake-prone...Ch. 14 - BIO (a) Music. When a person sings, his or her...Ch. 14 - If an object on a horizontal, frictionless surface...Ch. 14 - The tip of a tuning fork goes through 440 complete...Ch. 14 - The displacement of an oscillating object as a...Ch. 14 - A machine part is undergoing SUM with a frequency...Ch. 14 - BIO The wings of the blue-throated hummingbird...Ch. 14 - A 2.40-kg ball is attached to an unknown spring...Ch. 14 - In a physics lab, you attach a 0.200-kg air-track...Ch. 14 - When a body of unknown mass is attached to an...Ch. 14 - When a 0.750-kg mass oscillates on an ideal...Ch. 14 - An object is undergoing SHM with period 0.900 s...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - A 2.00-kg. frictionless block is attached to an...Ch. 14 - Repeat Exercise 14.13, but assume that at t = 0...Ch. 14 - The point of the needle of a sewing machine moves...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - BIO Weighing Astronauts. This procedure has been...Ch. 14 - A 0.400-kg object undergoing SHM has ax = 1.80...Ch. 14 - On a frictionless, horizontal air track, a glider...Ch. 14 - A 0.500-kg mass on a spring has velocity as a...Ch. 14 - A 1.50-kg mass on a spring has displacement as a...Ch. 14 - BIO Weighing a Virus. In February 2004, scientists...Ch. 14 - CALC Jerk. A guitar string vibrates at a frequency...Ch. 14 - For the oscillating object in Fig. E14.4, what are...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - A 0.150-kg toy is undergoing SHM on the end of a...Ch. 14 - A harmonic oscillator has angular frequency and...Ch. 14 - A 0.500-kg glider, attached to the end of an ideal...Ch. 14 - A cheerleader waves her pom-pom in SHM with an...Ch. 14 - CP For the situation described in part (a) of...Ch. 14 - A block with mass m = 0.300 kg is attached to one...Ch. 14 - You are watching an object that is moving in SHM....Ch. 14 - A 2.00-kg frictionless block is attached to an...Ch. 14 - A 2.00-kg frictionless block attached to an ideal...Ch. 14 - A mass is oscillating with amplitude A at the end...Ch. 14 - A 175-g glider on a horizontal, frictionless air...Ch. 14 - A proud deep-sea fisherman hangs a 65.0-kg fish...Ch. 14 - A thrill-seeking cat with mass 4.00 kg is attached...Ch. 14 - A uniform, solid metal disk of mass 6.50 kg and...Ch. 14 - A certain alarm clock ticks four times each...Ch. 14 - A thin metal disk with mass 2.00 103 kg and...Ch. 14 - You want to find the moment of inertia of a...Ch. 14 - CALC The balance wheel of a watch vibrates with an...Ch. 14 - You pull a simple pendulum 0.240 m long to the...Ch. 14 - An 85.0-kg mountain climber plans to swing down,...Ch. 14 - A building in San Francisco has light fixtures...Ch. 14 - A Pendulum on Mars. A certain simple pendulum has...Ch. 14 - After landing on an unfamiliar planet, a space...Ch. 14 - In the laboratory, a student studies a pendulum by...Ch. 14 - A simple pendulum 2.00 m long swings through a...Ch. 14 - A small sphere with mass m is attached to a...Ch. 14 - Two pendulums have the same dimensions (length L)...Ch. 14 - We want to hang a thin hoop on a horizontal nail...Ch. 14 - A 1.80-kg connecting rod from a car engine is...Ch. 14 - Prob. 14.56ECh. 14 - The two pendulums shown in Fig. E14.57 each...Ch. 14 - CP A holiday ornament in the shape of a hollow...Ch. 14 - A 1.35-kg object is attached to a horizontal...Ch. 14 - A 50.0-g hard-boiled egg moves on the end of a...Ch. 14 - An unhappy 0.300-kg rodent, moving on the end of a...Ch. 14 - A mass is vibrating at the end of a spring of...Ch. 14 - A sinusoidally varying driving force is applied to...Ch. 14 - An object is undergoing SHM with period 0.300 s...Ch. 14 - An object is undergoing SHM with period 1.200 s...Ch. 14 - Four passengers with combined mass 250 kg compress...Ch. 14 - At the end of a ride at a winter-theme amusement...Ch. 14 - CP A block with mass M rests on a frictionless...Ch. 14 - A 1.50-kg, horizontal, uniform tray is attached to...Ch. 14 - CP A 10.0-kg mass is traveling to the right with a...Ch. 14 - An apple weighs 1.00 N. When you hang it from the...Ch. 14 - CP SHM of a Floating Object. An object with height...Ch. 14 - CP A square object of mass m is constructed of...Ch. 14 - An object with mass 0.200 kg is acted on by an...Ch. 14 - CALC A 2.00-kg bucket containing 10.0 kg of water...Ch. 14 - A uniform beam is suspended horizontally by two...Ch. 14 - A 5.00-kg partridge is suspended from a pear tree...Ch. 14 - A 0.0200-kg bolt moves with SHM that has an...Ch. 14 - CP SHM of a Butchers Scale. A spring of negligible...Ch. 14 - A 40.0-N force stretches a vertical spring 0.250...Ch. 14 - Dont Miss the Boat. While on a visit to Minnesota...Ch. 14 - CP An interesting, though highly impractical...Ch. 14 - CP A rifle bullet with mass 8.00 g and initial...Ch. 14 - CP Two uniform solid spheres, each with mass M =...Ch. 14 - CP In Fig. P14.85 the upper ball is released from...Ch. 14 - The Silently Ringing Bell. A large, 34.0-kg bell...Ch. 14 - CALC A slender, uniform, metal rod with mass M is...Ch. 14 - Two identical thin rods, each with mass m and...Ch. 14 - DATA A mass m is attached to a spring of force...Ch. 14 - DATA You hang various masses m from the end of a...Ch. 14 - DATA Experimenting with pendulums, you attach a...Ch. 14 - The Effective Force Constant of Two Springs. Two...Ch. 14 - CALC A Spring with Mass. The preceding problems in...Ch. 14 - BIO SEEING SURFACES AT THE NANOSCALE. One...Ch. 14 - In the model of Problem 14.94, what is the...Ch. 14 - By what percentage does the frequency of...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Which Moon position (F–l) best corresponds with the Moon phase shown in the upper-right corner of Figure 2?
Ent...
Lecture- Tutorials for Introductory Astronomy
Funding for Astrobiology. Imagine that you are a member of Congress, so it is your job to decide how much gover...
Life in the Universe (4th Edition)
40.(I) Estimate (a) how long it look King Kong to fall straight down from the top of the Empire State Building ...
Physics: Principles with Applications
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
(a) An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner's 2....
College Physics
89. A metal ball is barely able to past through a metal ring. When Anette Zetterberg heats the ball, it does no...
Conceptual Physical Science (6th Edition)
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
- The total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the kinetic energy of the system when the position of the oscillator is 0.750 cm? b. What is the potential energy of the system at this position? c. What is the position for which the potential energy of the system is equal to its kinetic energy? d. For a simple harmonic oscillator, what, if any, are the positions for which the kinetic energy of the system exceeds the maximum potential energy of the system? Explain your answer. FIGURE P16.73arrow_forwardThe amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?arrow_forwardConsider an undamped linear oscillator with a natural frequency ω0 = 0.5 rad/s and the step function a = 1 m/s2. Calculate and sketch the response function for an impulse forcing function acting for a time τ = 2π/ω0. Give a physical interpretation of the results.arrow_forward
- Consider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a. What is the mechanical energy of the blockspring system? b. Write expressions for the kinetic and potential energies as functions of time. c. Plot the kinetic energy, potential energy, and mechanical energy as functions of time on the same set of axes. Problems 5965 are grouped. 59. G Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59arrow_forwardConsider a damped harmonic oscillator. After four cycles the amplitude of the oscillator has dropped to 1/e of its initial value. Find the ratio of the frequency of the damped oscillator to its natural frequency.arrow_forwardA grandfather clock has a pendulum length of 0.7 m and mass bob of 0.4 kg. A mass of 2 kg falls 0.8 m in seven days to keep the amplitude (from equilibrium) of the pendulum oscillation steady at 0.03 rad. What is the Q of the system?arrow_forward
- C, N A uniform plank of length L and mass M is balanced on a fixed, semicircular bowl of radius R (Fig. P16.19). If the plank is tilted slightly from its equilibrium position and released, will it execute simple harmonic motion? If so, obtain the period of its oscillation.arrow_forwardRefer to the problem of the two coupled oscillators discussed in Section 12.2. Show that the total energy of the system is constant. (Calculate the kinetic energy of each of the particles and the potential energy stored in each of the three springs, and sum the results.) Notice that the kinetic and potential energy terms that have 12 as a coefficient depend on C1 and 2 but not on C2 or 2. Why is such a result to be expected?arrow_forwardA 50.0-g object connected to a spring with a force constant of 35.0 N/m oscillates with an amplitude of 4.00 cm on a frictionless, horizontal surface. Find (a) the total energy of the system and (b) the speed of the object when its position is 1.00 cm. Find (c) the kinetic energy and (d) the potential energy when its position is 3.00 cm.arrow_forward
- A simple pendulum as shown in Fig. 4.24 oscillates back and forth. Use the letter designations in the figure to identify the pendulums position(s) for the following conditions. (There may be more than one answer. Consider the pendulum to be ideal with no energy losses.) (a) Position(s) of instantaneous rest ___ (b) Position(s) of maximum velocity ___ (c) Position(s) of maximum Ek ___ (d) Position(s) of maximum Ep ___ (e) Position(s) of minimum Ek ___ (f) Position(s) of minimum Ep ___ (g) Position(s) after which Ek increases ___ (h) Position(s) after which Ep increases ___ (i) Position(s) after which Ek decreases ___ (j) Position(s) after which Ep decreases ___ Figure 4.24 The Simple Pendulum and Energyarrow_forwardA vibration sensor, used in testing a washing machine, consists of a cube of aluminum 1.50 cm on edge mounted on one end of a strip of spring steel (like a hacksaw blade) that lies in a vertical plane. The strips mass is small compared with that of the cube, but the strips length is large compared with the size of the cube. The other end of the strip is clamped to the frame of the washing machine that is not operating. A horizontal force of 1.43 N applied to the cube is required to hold it 2.75 cm away from its equilibrium position. If it is released, what is its frequency of vibration?arrow_forwardA uniform annular ring of mass m and inner and outer radii a and b, respectively, is pivoted around an axis perpendicular to the plane of the ring at point P (Fig. P16.35). Determine its period of oscillation. FIGURE P16.35arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY