FUNDAMENTALS OF PHYSICS V.1
11th Edition
ISBN: 9781119573913
Author: Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 15, Problem 99P
For a simple pendulum, find the angular amplitude θm at which the restoring torque required for
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
4B. Four electrons are located on the corners of a square, one on each corner, with the sides of the square being 25 cm long. a) Draw a sketch of the scenario and use your sketch to b) Determine the total force (magnitude and direction) on one of the electrons from the other three?
Portfolio Problem 3. A ball is thrown vertically upwards with a speed vo
from the floor of a room of height h. It hits the ceiling and then returns to the
floor, from which it rebounds, managing just to hit the ceiling a second time.
Assume that the coefficient of restitution between the ball and the floor, e, is
equal to that between the ball and the ceiling. Compute e.
Portfolio Problem 4. Consider two identical springs, each with natural length
and spring constant k, attached to a horizontal frame at distance 2l apart. Their
free ends are attached to the same particle of mass m, which is hanging under
gravity. Let z denote the vertical displacement of the particle from the hori-
zontal frame, so that z < 0 when the particle is below the frame, as shown in
the figure. The particle has zero horizontal velocity, so that the motion is one
dimensional along z.
000000
0
eeeeee
(a) Show that the total force acting on the particle is
X
F-mg k-2kz 1
(1.
l
k.
(b) Find the potential energy U(x, y, z) of the system such that U
x = : 0.
= O when
(c) The particle is pulled down until the springs are each of length 3l, and then
released. Find the velocity of the particle when it crosses z = 0.
Chapter 15 Solutions
FUNDAMENTALS OF PHYSICS V.1
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
One kilopond (1 kp) is the weight of 1 kg in the standard gravitational field. What is the weight of 1kg in new...
Fundamentals Of Thermodynamics
8.63 Two flasks of equal volume and at the same temperature contain different gases. One flask contains 10.0 g ...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
1. The correct sequence of levels forming the structural hierarchy is
A. (a) organ, organ system, cellular, che...
Human Anatomy & Physiology (Marieb, Human Anatomy & Physiology) Standalone Book
Use the following graph to answer questions 3 and 4. 3. Which of the lines best depicts the log phase of a ther...
Microbiology: An Introduction
How many vertebrae fuse to form the sacrum and coccyx?
Principles of Anatomy and Physiology
a. Which compound has the stretching vibration for its carbonyl group at the highest frequency: acetyl chloride...
Organic Chemistry (8th 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
- In the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page. R Pout (a) Calculate the maximum value of the emf induced between the ends of the conductor. 1.77 v (b) What is the value of the average induced emf for each complete rotation? 0 v (c) How would your answers to parts (a) and (b) change if the magnetic field were allowed to extend a distance R above the axis of rotation? (Select all that apply.) The value in part (a) would increase. The value in part (a) would remain the same. The value in part (a) would decrease. The value in part (b) would increase. The value in part (b) would remain the same. The value in part (b) would decrease. × (d) Sketch the emf versus time when the field is as drawn in the figure. Choose File No file chosen This answer has not been graded yet. (e) Sketch the emf…arrow_forwardPortfolio Problem 2. A particle of mass m slides in a straight line (say along i) on a surface, with initial position x ©0 and initial velocity Vo > 0 at t = 0. The = particle is subject to a constant force F = -mai, with a > 0. While sliding on the surface, the particle is also subject to a friction force v Ff = -m fo = −m fov, with fo > 0, i.e., the friction force has constant magnitude mfo and is always opposed to the motion. We also assume fo 0, and solve it to find v(t) and x(t). How long does it take for the particle to come to a stop? How far does it travel? (b) After coming to a stop, the particle starts sliding backwards with negative velocity. Write the equation of motion in this case, and solve it to find the time at which the particle returns to the original position, x = 0. Show that the final speed at x 0 is smaller than Vo. = Express all your answers in terms of a, fo and Vo.arrow_forward= Portfolio Problem 1. A particle of mass m is dropped (i.e., falls down with zero initial velocity) at time t 0 from height h. If the particle is subject to gravitational acceleration only, i.e., a = −gk, determine its speed as it hits the ground by solving explicitly the expressions for its velocity and position. Next, verify your result using dimensional analysis, assuming that the general relation is of the form v = khag³m, where k is a dimensionless constant.arrow_forward
- Review Conceptual Example 2 before attempting this problem. Two slits are 0.158 mm apart. A mixture of red light (wavelength = 693 nm) and yellow-green light (wavelength = 567 nm) falls on the slits. A flat observation screen is located 2.42 m away. What is the distance on the screen between the third-order red fringe and the third-order yellow- green fringe? m = 3 m = 3 m= 0 m = 3 m = 3 Fringes on observation screenarrow_forwardIn the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page. In this illustration, a wire extends straight to the right from point A, then curves up and around in a semicircle of radius R. On the right side of the semicircle, the wire continues straight to the right to point C. The wire lies in the plane of the page, in a region of no magnetic field. Directly below the axis A C is a region of uniform magnetic field pointing out of the page, vector Bout. If viewed from the right, the wire can rotate counterclockwise, so that the semicircular part can rotate into the region of magnetic field. (a) Calculate the maximum value of the emf induced between the ends of the conductor. V(b) What is the value of the average induced emf for each complete rotation? Consider carefully whether the correct answer is…arrow_forwardA coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.20 cm and 1.00 103 turns/meter (see figure below). The current in the solenoid changes as I = 6.00 sin(120t), where I is in amperes and t is in seconds. Find the induced emf (in volts) in the 15-turn coil as a function of time. (Do not include units in your answer.) =arrow_forward
- A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.80 cm and 1.00 103 turns/meter (see figure below). The current in the solenoid changes as I = 5.00 sin(120t), where I is in amperes and t is in seconds. Find the induced emf (in volts) in the 15-turn coil as a function of time. (Do not include units in your answer.) =arrow_forwardWhich vowel does this graph represent (”ah,” “ee,” or “oo”)? How can you tell? Also, how would you be able to tell for the other vowels?arrow_forwardConcept Simulation 26.4 provides the option of exploring the ray diagram that applies to this problem. The distance between an object and its image formed by a diverging lens is 5.90 cm. The focal length of the lens is -2.60 cm. Find (a) the image distance and (b) the object distance.arrow_forward
- A bat is flying toward a cave wall at 27.0 m/s. What is the frequency of the reflected sound that it hears, assuming it emits sound at 52.0 kHz? The speed of sound is 341.5 m/s. Multiple Choice о 60.9 kHz О 56.5 kHz о 61.3 kHz О 56.1 kHzarrow_forwardCompare the slope of your Data Table 2 graph to the average wavelength (Ave, l) from Data Table 2 by calculating the % Difference. Is the % Difference calculated for the wavelength in Data Table 2 within an acceptable % error? Explain why or why not?arrow_forwardThe slope of a graph of velocity, v, vs frequency, f, is equal to wavelength, l. Compare the slope of your Data Table 1 graph to the average wavelength (Ave, l) from Data Table 1 by calculating the % Difference.arrow_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
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher: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
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY