University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 14, Problem 14.61E
An unhappy 0.300-kg rodent, moving on the end of a spring with force constant k = 2.50 N/m, is acted on by a damping force Fx = −bvx. (a) If the constant b has the value 0.900 kg/s, what is the frequency of oscillation of the rodent? (b) For what value of the constant b will the motion be critically damped?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
University Physics with Modern Physics (14th Edition)
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
A battery produces 40.8 V when 7.40 A is drawn from it, and 47.3 V when 2.80 A is drawn. What are the emf and i...
Physics for Scientists and Engineers with Modern Physics
Give the metric symbol, or abbreviation, for each prefix.
11. milli
Applied Physics (11th Edition)
What is (a) the angular speed and (b) the linear speed of a point on Earth’s surface at latitude 30N . Take the...
University Physics Volume 1
The necessary situations for a total internal reflection.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
17. A speed skater moving to the left across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice....
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Choose the best answer to each of the following. Explain your reasoning. What is the name of the rigid outer la...
Cosmic Perspective Fundamentals
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
- If the amplitude of a damped oscillator decreases to 1/e of its initial value after n periods, show that the frequency of the oscillator must be approximately [1 − (8π2n2)−1] times the frequency of the corresponding undamped oscillator.arrow_forwardShow that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = bv2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E=12mv2+12kx2, and use Equation 15.51.arrow_forwardA 200-g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.250 s. The total energy of the system is 2.00 J. Find (a) the force constant of the spring and (b) the amplitude of the motion.arrow_forward
- In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = 0, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.arrow_forwardFor a damped, driven oscillator, show that the average kinetic energy is the same at a frequency of a given number of octaves* above the kinetic energy resonance as at a frequency of the same number of octaves below resonance.arrow_forwardA block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 30.0 cm/s. Calculate (a) the mass of the block, (b) the period of the motion, and (c) the maximum acceleration of the block.arrow_forward
- A 500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.0 cm. Calculate the maximum value of its (a) speed and (b) acceleration, (c) the speed and (d) the acceleration when the object is 6.00 cm from the equilibrium position, and (e) the time interval required for the object to move from x = 0 to x = 8.00 cm.arrow_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_forwardA pendulum of length L and mass M has a spring of force constant k connected to it at a distance h below its point of suspension (Fig. P15.55). Find the frequency of vibration of the system for small values of the amplitude (small ). Assume the vertical suspension rod of length L is rigid, but ignore its mass. Figure P15.35arrow_forward
- A car of mass 2.00 103 kg is lowered by 1.50 cm when four passengers, each of mass 70.0 kg, sit down in it. a. Determine the damping constant b of the shock absorbers that will provide critical damping. b. Suppose for the same car the shock absorbers are so worn that they provide almost no damping. Find the period of up-and-down oscillation of the car after hitting a bump in the road.arrow_forwardShow that angular frequency of a physical pendulum phy=mgrCM/I (Eq. 16.33) equals the angular frequency of a simple pendulum smp=g/, (Eq. 16.29) in the case of a particle at the end of a string of length .arrow_forwardIf a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
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
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
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
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY