Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 15, Problem 3Q
The acceleration a(t) of a particle undergoing
Figure 15-21 Question 3
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A Physics Question is the image attached
*11. ssm A spring is hanging down from the ceiling, and an object of mass
m is attached to the free end. The object is pulled down, thereby stretching
the spring, and then released. The object oscillates up and down, and the
time T required for one complete up-and-down oscillation is given by the
equation T = 27 Vmlk, where k is known as the spring constant. What
must be the dimension of k for this equation to be dimensionally correct?
A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby
stretching the spring, and then released. The object oscillates up and down, and the time T required for one complete up-and-down
oscillation is given by the equation T = 2л√m/k, wherek is known as the spring constant. What must be the dimension of k for this
equation to be dimensionally correct?
O [T]
O [M]
O [M]/[T]
O [T]/[M]
O [M]/[T]²
O [T]²/[M]
Chapter 15 Solutions
Fundamentals of Physics Extended
Ch. 15 - Which of the following describe for the SHM of...Ch. 15 - The velocity vt of a particle undergoing SHM is...Ch. 15 - The acceleration at of a particle undergoing SHM...Ch. 15 - Which of the following relationships between the...Ch. 15 - You are to complete Fig. 15-22a so that it is a...Ch. 15 - You are to complete Fig. 15-23a so that it is a...Ch. 15 - Figure 15-24 shows the xt curves for three...Ch. 15 - Figure 15-25 shows plots of the kinetic energy K...Ch. 15 - Figure 15-26 shows three physical pendulums...Ch. 15 - You are to build the oscillation transfer device...
Ch. 15 - In Fig. 15-28, a springblock system is put into...Ch. 15 - Figure 15-29 gives, for three situations, the...Ch. 15 - An object undergoing simple harmonic motion takes...Ch. 15 - A 0.12 kg body undergoes simple harmonic motion of...Ch. 15 - What is the maximum acceleration of a platform...Ch. 15 - An automobile can be considered to be mounted on...Ch. 15 - SSM In an electric shaver, the blade moves back...Ch. 15 - A particle with a mass of 1.00 1020 kg is...Ch. 15 - SSM A loudspeaker produces a musical sound by...Ch. 15 - What is the phase constant for the harmonic...Ch. 15 - The position function x = 6.0 m cos3 rad/st /3...Ch. 15 - An oscillating blockspring system takes 0.75 s to...Ch. 15 - In Fig. 15-31, two identical springs of spring...Ch. 15 - What is the phase constant for the harmonic...Ch. 15 - SSM An oscillator consists of a block of mass...Ch. 15 - A simple harmonic oscillator consists of a block...Ch. 15 - SSM Two particles oscillate in simple harmonic...Ch. 15 - Two particles execute simple harmonic motion of...Ch. 15 - ILW An oscillator consists of a block attached to...Ch. 15 - GO At a certain harbor, the tides cause the ocean...Ch. 15 - A block rides on a piston a squat cylindrical...Ch. 15 - GO Figure 15-33a is a partial graph of the...Ch. 15 - ILW In Fig. 15-31, two springs are attached to a...Ch. 15 - GO Figure 15-34 shows block 1 of mass 0.200 kg...Ch. 15 - SSM WWW A block is on a horizontal surface a shake...Ch. 15 - In Fig. 15-35, two springs are joined and...Ch. 15 - GO In Fig. 15-36, a block weighing 14.0 N, which...Ch. 15 - GO In Fig. 15-37, two blocks m = 1.8 kg and M = 10...Ch. 15 - SSM When the displacement in SHM is one-half the...Ch. 15 - Figure 15-38 gives the one-dimensional potential...Ch. 15 - SSM Find the mechanical energy of a blockspring...Ch. 15 - An oscillating blockspring system has a mechanical...Ch. 15 - ILW A 5.00 kg object on a horizontal frictionless...Ch. 15 - Figure 15-39 shows the kinetic energy K of a...Ch. 15 - GO A block of mass M = 5.4 kg, at rest on a...Ch. 15 - GO In Fig. 15-41, block 2 of mass 2.0 kg...Ch. 15 - A 10 g particle undergoes SHM with an amplitude of...Ch. 15 - If the phase angle for a blockspring system in SHM...Ch. 15 - GO A massless spring hangs from the ceiling with a...Ch. 15 - A 95 kg solid sphere with a 15 cm radius is...Ch. 15 - SSM WWW The balance wheel of an old-fashioned...Ch. 15 - ILW A physical pendulum consists of a meter stick...Ch. 15 - SSM In Fig. 15-42, the pendulum consists of a...Ch. 15 - Suppose that a simple pendulum consists of a small...Ch. 15 - a If the physical pendulum of Fig. 15-13 and the...Ch. 15 - A physical pendulum consists of two meter-long...Ch. 15 - A performer seated on a trapeze is swinging back...Ch. 15 - A physical pendulum has a center of oscillation at...Ch. 15 - In Fig. 15-44, a physical pendulum consists of a...Ch. 15 - GO A rectangular block, with face lengths a = 35...Ch. 15 - GO The angle of the pendulum of Fig. 15-11b is...Ch. 15 - Prob. 50PCh. 15 - GO In Fig. 15-46, a stick of length L = 1.85 m...Ch. 15 - GO The 3.00 kg cube in Fig. 15-47 has edge lengths...Ch. 15 - SSM ILW In the overhead view of Fig. 15-48, a long...Ch. 15 - Prob. 54PCh. 15 - GO A pendulum is formed by pivoting a long thin...Ch. 15 - In Fig. 15-50: a 2.50 kg disk of diameter D = 42.0...Ch. 15 - The amplitude of a lightly damped oscillator...Ch. 15 - For the damped oscillator system shown in Fig....Ch. 15 - SSM WWW For the damped oscillator system shown in...Ch. 15 - The suspension system of a 2000 kg automobile sags...Ch. 15 - For Eq. 15-45, suppose the amplitude xm is given...Ch. 15 - Hanging from a horizontal beam are nine simple...Ch. 15 - A. 1000 kg car carrying four 82 kg people travels...Ch. 15 - Although California is known for earthquakes, is...Ch. 15 - A loudspeaker diaphragm is oscillating in simple...Ch. 15 - A uniform spring with k = 8600 N/m is cut into...Ch. 15 - GO In Fig. 15-51, three 10, 000 kg ore cars are...Ch. 15 - A 2.00 kg block hangs from a spring. A 300 g body...Ch. 15 - SSM In the engine of a locomotive, a cylindrical...Ch. 15 - GO A wheel is free to rotate about its fixed axle....Ch. 15 - A 50.0 g stone is attached to the bottom of a...Ch. 15 - A uniform circular disk: whose radius R is 12.6 cm...Ch. 15 - SSM A vertical spring stretches 9.6 cm when a 1.3...Ch. 15 - A massless spring with spring constant 19 N/m...Ch. 15 - A 4.00 kg block is suspended from a spring with k...Ch. 15 - A 55.0 g block oscillates in SHM on the end of a...Ch. 15 - Figure 15-53 gives the position of a 20 g block...Ch. 15 - Figure 15-53 gives the position xt of a block...Ch. 15 - Figure 15-54 shows the kinetic energy K of a...Ch. 15 - A block is in SHM on the end of a spring, with...Ch. 15 - A simple harmonic oscillator consists of a 0.50 kg...Ch. 15 - A simple pendulum of length 20 cm and mass 5.0 g...Ch. 15 - The scale of a spring balance that reads from 0 to...Ch. 15 - A 0.10 kg block oscillates back and forth along a...Ch. 15 - The end point of a spring oscillates with a period...Ch. 15 - The tip of one prong of a tuning fork undergoes...Ch. 15 - Prob. 87PCh. 15 - A block weighing 20 N oscillates at one end of a...Ch. 15 - A 3.0 kg particle is in simple harmonic motion in...Ch. 15 - A particle executes linear SHM with frequency 0.25...Ch. 15 - SSM What is the frequency of a simple pendulum 2.0...Ch. 15 - A grandfather clock has a pendulum that consists...Ch. 15 - A 4.00 kg block hangs from a spring, extending it...Ch. 15 - What is the phase constant for SMH with at given...Ch. 15 - An engineer has an odd-shaped 10 kg object and...Ch. 15 - A spider can tell when its web has captured, say,...Ch. 15 - A torsion pendulum consists of a metal disk with a...Ch. 15 - When a 20 N can is hung from the bottom of a...Ch. 15 - For a simple pendulum, find the angular amplitude...Ch. 15 - In Fig. 15-59, a solid cylinder attached to a...Ch. 15 - SSM A 1.2 kg block sliding on a horizontal...Ch. 15 - A simple harmonic oscillator consists of an 0.80...Ch. 15 - A block sliding on a horizontal frictionless...Ch. 15 - A damped harmonic oscillator consists of a block m...Ch. 15 - A block weighing 10.0 N is attached to the lower...Ch. 15 - A simple harmonic oscillator consists of a block...Ch. 15 - The vibration frequencies of atoms in solids at...Ch. 15 - Figure 15-61 shows that if we hang a block on the...Ch. 15 - The physical pendulum in Fig. 15-62 has two...Ch. 15 - A common device for entertaining a toddler is a...Ch. 15 - A 2.0 kg block executes SHM while attached to a...Ch. 15 - In Fig. 15-64, a 2500 kg demolition ball swings...Ch. 15 - The center of oscillation of a physical pendulum...Ch. 15 - A hypothetical large slingshot is stretched 2.30 m...Ch. 15 - What is the length of a simple pendulum whose full...Ch. 15 - A 2.0 kg block is attached to the end of a spring...
Additional Science Textbook Solutions
Find more solutions based on key concepts
4. Two of these organ system bear the major responsibility for ensuring homeostasis of the internal environment...
Human Anatomy & Physiology (Marieb, Human Anatomy & Physiology) Standalone Book
In what ways does connective tissue differ from epithelial tissue?
Principles of Anatomy and Physiology
All of the following terms can appropriately describe humans except: a. primary consumer b. autotroph c. hetero...
Human Biology: Concepts and Current Issues (8th Edition)
Suppose you are culturing a microorganism that produces enough lactic acid to kill itself in a few days. a. How...
Microbiology: An Introduction
33. Write an equilibrium expression for each chemical equation for each chemical equation involving one or more...
Chemistry: Structure and Properties (2nd Edition)
1. Which is a function of the skeletal system? (a) support, (b) hematopoietic site, (c) storage, (d) providing ...
Anatomy & Physiology (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 angular frequency and amplitude of a simple pendulum are w and A respectively. At a displacement x from the mean position , if its KE is K and PE is U , find the ratio K/U.arrow_forwardA small block is sent through point A with a speed of 15.4 m/s. Its path is without friction until it reaches the section of length L, where frictional force stops the block. The coefficient of kinetic friction is 0.70. The indicated heights are h, = 14.9 m and hz = 3.6 m. What is L (in m)? [10 minutes]arrow_forwardA spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and down, and the time T required for one complete up-and-down oscillation is given by the equation T = 2л√/m/k, where k is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct? O [T] O [T]² O [M] O [M]/[T] O [T]/[M] O [M]/[T]² O [T]²/[M]arrow_forward
- Suppose that the displacement d(in meters) of an object at tie t (in seconds) satisfies the equation d = 8 - 5 cos(pi x t ). Find the maximum displacement from its resting position, the time required for one oscillation and the frequency.arrow_forwardA massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position Y; such that the spring is at its rest length. The object is then released from y; and oscillates up and down, with its lowest position being 22 cm below yj. (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 8.5 cm below the initial position? (c) An object of mass 230 g is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object? (d) How far below y; is the new equilibrium (rest) position with both objects attached to the sping? (a) Number Units (b) Number Units |(c) Number Units (d) Number Unitsarrow_forwardIn an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, O'max, is t s^(-1). What is the time needed for the pendulum to complete two oscillations? 0.25 sec O 1 sec O 0.5 sec O 2 sec 4 sec nring ef spring constant k. The blockarrow_forward
- O 0.085 J O 0.066 J In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, 0'max, is rt s^(-1). What is the time needed for the pendulum to complete one-half oscillation? O 4 sec O 0.5 sec 2 sec O 0.25 sec O 1 sec A block-spring system has a maximum restoring force Fmax=0.1N. If the amplitude of the motion is A = 0.01 and the mass of the olockis m = 400garrow_forwardA 1kg mass is attached to a spring (with spring constant k = 4 N/m), and the spring itself is attached to the ceiling. If you pull the mass down to stretch the spring past its equilibrium position, when you release the mass and observe its (vertical) position, it’s said to undergo simple harmonic motion. Under certain initial conditions, the mass’s vertical position (in metres) relative to its equilibrium position at time t, y(t), can be modelled by the equation y(t) = cos(2t) − sin(2t), (Note that y measures how much the spring has been stretched, so y = 1 indicates the mass is 1m below its equilibrium position, whereas y = −1 indicates it is 1m above its equilibrium position.) (a) Find expressions for the mass’s (vertical) velocity v(t) (relative to its equilibrium position) and the mass’s (vertical) acceleration a(t) (relative to its equilibrium position). (b) Is the mass moving toward the ceiling or toward the floor at t = π? Justify your answer with a calculation. (c) At what…arrow_forwardDo it without any delayarrow_forward
- Clear selection In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to complete two oscillations? O 0.25 sec 1 sec O 0.5 sec O 4 sec 2 sec The equation of motion of a particle in simple harmonic motion is given by: x(t) = O the narticle'sarrow_forwardA mass moving back and forth on a spring obeys the sinusoidal equation x(t) = A cos(2πft), where A is the amplitude of the oscillation or the maximum displacement of the mass from its equilibrium position, f is the frequency of the oscillation and t is the time. If the amplitude is 10.0 cm and the frequency is f = 0.500 Hz, what is the position of the mass at t = 3.00 s?arrow_forwardO -0.6V3m m/s In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is 2rts^(-1). What is the time needed for the pendulum to complete two oscillations? O 2 sec O 0.5 sec O 1 sec O 4 sec O 0.25 sec motio of a particle in simple harmonic motion is given by: x(t) 3Darrow_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 Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY