Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 13, Problem 20PCE
A ball rolls on a circular track of radius 0.62 m with a constant angular speed of 1.3 rad/s in the counterclockwise direction. If the angular position of the ball at t = 0 is θ = 0, find the x component of the ball’s position at the times 2.5 s, 5.0 s, and 7.5 s Let θ = 0 correspond to the positive x direction.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Problem 2.
A wheel of radius R = 0.1m whose center is fixed on an axle has a string of length l = 15m wrapped around it. It is
initially not rotating. The string is pulled off tangentially with a constant tension in t = 1.0s.
Find the the angular acceleration of the wheel.
Find the final angular velocity of the wheel.
How many full rotations does the wheel turn through while the string is being pulled off?
A small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle of radius 2.75 m centered at the origin. It starts at the point with position vector 2.75î m. Then it undergoes an angular displacement of 9.10 rad.
(a) What is its new position vector?
-2.61i + 0.87j
m
(b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis?
second
vv at 161.46
(c) What is its velocity?
4.4
m/s
(d) In what direction is it moving?
o from the +x direction.
(e) What is its acceleration?
m/s2
(f) Make a sketch of its position, velocity, and acceleration vectors. Choose File No file chosen
(g) What total force is exerted on the object?
N
A small object with mass 3.80 kg moves counterclockwise with constant speed 1.70 rad/s in a circle of radius 3.35 m centered at the origin. It starts at the point with position vector 3.35î m. Then
it undergoes an angular displacement of 9.25 rad.
(a) What is its new position vector?
-3.29i + 0.58j
m
(b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis?
second
at 170
(c) What is its velocity?
-0.989i – 5.61j
m/s
(d) In what direction is it moving?
260
° from the +x direction.
(e) What is its acceleration?
m/s2
(f) Make a sketch of its position, velocity, and acceleration vectors.
Choose File No file chosen
farhan.docx
Score: 0.37 out of 0.37
Comment:
(g) What total force is exerted on the object?
N
Chapter 13 Solutions
Physics (5th Edition)
Ch. 13.1 - If the frequency of an oscillator is halved, by...Ch. 13.2 - Prob. 2EYUCh. 13.3 - An object moves with simple harmonic motion about...Ch. 13.4 - Rank the four massspring systems in Figure 13-15...Ch. 13.5 - The total mechanical energy of an ideal...Ch. 13.6 - Rank the four pendulum systems in Figure 13-25 in...Ch. 13.7 - The amplitude of a damped oscillation decreases...Ch. 13.8 - When you drive a pendulum at a frequency f1, you...Ch. 13 - A basketball player dribbles a ball with a steady...Ch. 13 - A person rides on a Ferris wheel that rotates with...
Ch. 13 - An air-track cart bounces back and forth between...Ch. 13 - If a mass m and a mass 2m oscillate on identical...Ch. 13 - An object oscillating with simple harmonic motion...Ch. 13 - The position of an object undergoing simple...Ch. 13 - The pendulum bob in Figure 13-18 leaks sand onto...Ch. 13 - A person in a rocking chair completes 12 cycles in...Ch. 13 - While fishing for catfish, a fisherman suddenly...Ch. 13 - If you dribble a basketball with a frequency of...Ch. 13 - You take your pulse and observe 74 heartbeats in a...Ch. 13 - BIO Slow-Motion Dragonfly A frame-by-frame...Ch. 13 - Predict/Calculate (a) Your heart beats with a...Ch. 13 - You rev your cars engine to 3300 rpm (rev/min)....Ch. 13 - A mass moves back and forth in simple harmonic...Ch. 13 - A mass moves back and forth in simple harmonic...Ch. 13 - The position of a mass oscillating on a spring is...Ch. 13 - The position of a mass oscillating on a spring is...Ch. 13 - A position-versus-time plot for an object...Ch. 13 - A mass on a spring oscillates with simple harmonic...Ch. 13 - A mass oscillates on a spring with a period of...Ch. 13 - Predict/Calculate Molecular Oscillations An atom...Ch. 13 - A mass oscillates on a spring with a period T and...Ch. 13 - The position of a mass on a spring is given by x =...Ch. 13 - Predict/Calculate A mass attached to a spring...Ch. 13 - A lawn sprinkler oscillates with simple harmonic...Ch. 13 - A ball rolls on a circular track of radius 0.62 m...Ch. 13 - An object executing simple harmonic motion has a...Ch. 13 - A child rocks back and forth on a porch swing with...Ch. 13 - Predict/Calculate A 30.0-g goldfinch lands on a...Ch. 13 - BIO Tuning Forks in Neurology Tuning forks are...Ch. 13 - A vibrating structural beam in a spacecraft can...Ch. 13 - A peg on a turntable moves with a constant...Ch. 13 - The pistons in an internal combustion engine...Ch. 13 - Vomit Comet NASA trains astronauts to deal with...Ch. 13 - A 0.84-kg air cart is attached to a spring and...Ch. 13 - Predict/Calculate A person rides on a mechanical...Ch. 13 - An object moves with simple harmonic motion of...Ch. 13 - An object executing simple harmonic motion has a...Ch. 13 - Predict/Explain If a mass m is attached to a given...Ch. 13 - Predict/Explain An old car with worn-out shock...Ch. 13 - Predict/Explain The two blocks in Figure 13-34...Ch. 13 - A 0.49-kg mass attached to a spring undergoes...Ch. 13 - A freshly caught catfish is placed on a spring...Ch. 13 - System A consists of a mass m attached to a spring...Ch. 13 - Find the periods of block 1 and block 2 in Figure...Ch. 13 - When a 0.62-kg mass is attached to a vertical...Ch. 13 - A spring with a force constant of 82 N/m is...Ch. 13 - A bunch of grapes is placed in a spring scale at a...Ch. 13 - Two people with a combined mass of 125 kg hop into...Ch. 13 - A 0.95-kg mass attached to a vertical spring of...Ch. 13 - When a 0.184-kg mass is attached to a vertical...Ch. 13 - Predict/Calculate The springs of a 511-kg...Ch. 13 - Predict/Calculate If a mass m is attached to a...Ch. 13 - A 0.285-kg mass is attached to a spring with a...Ch. 13 - A 1.6-kg mass attached to a spring oscillates with...Ch. 13 - Predict/Calculate A 0.40-kg mass is attached to a...Ch. 13 - Prob. 51PCECh. 13 - BIO Astronaut Mass An astronaut uses a Body Mass...Ch. 13 - Predict/Calculate A 0.505-kg block slides on a...Ch. 13 - A 3.55-g bullet embeds itself in a 1.47-kg block,...Ch. 13 - Metronomes, such as the penguin shown in Figure...Ch. 13 - Predict/Explain A grandfather clock keeps correct...Ch. 13 - An observant fan at a baseball game notices that...Ch. 13 - A simple pendulum of length 2.3 m makes 5.0...Ch. 13 - United Nations Pendulum A large pendulum with a...Ch. 13 - Predict/Calculate If the pendulum in the previous...Ch. 13 - A Hula Hoop hangs from a peg. Find the period of...Ch. 13 - A fireman tosses his 0.98-kg hat onto a peg, where...Ch. 13 - Predict/Calculate Consider a meterstick that...Ch. 13 - On the construction site for a new skyscraper, a...Ch. 13 - BIO (a) Find the period of a childs leg as it...Ch. 13 - Suspended from the ceiling of an elevator is a...Ch. 13 - CE An object undergoes simple harmonic motion with...Ch. 13 - CE If the amplitude of a simple harmonic...Ch. 13 - CE A mass m is suspended from the ceiling of an...Ch. 13 - CE A pendulum of length L is suspended from the...Ch. 13 - A 1.3-kg mass is attached to a spring with a force...Ch. 13 - BIO Measuring an Astronauts Mass An astronaut uses...Ch. 13 - Sunspot Observations Sunspots vary in number as a...Ch. 13 - BIO Weighing a Bacterium Scientists are using...Ch. 13 - CE An object undergoing simple harmonic motion...Ch. 13 - The maximum speed of a 4.1-kg mass attached to a...Ch. 13 - The acceleration of a block attached to a spring...Ch. 13 - Helioseismology In 1962, physicists at Cal Tech...Ch. 13 - Predict/Calculate A 9.50-g bullet, moving...Ch. 13 - BIO Spiderweb Oscillations A 1.44-g spider...Ch. 13 - A service dog tag (Figure 13-40) is a circular...Ch. 13 - Calculate the ratio of the kinetic energy to the...Ch. 13 - A 0.340-kg mass slides on a frictionless floor...Ch. 13 - A shock absorber is designed to quickly damp out...Ch. 13 - Predict/Calculate Figure 13-41 shows a...Ch. 13 - Predict/Calculate A 3.2-kg mass on a spring...Ch. 13 - A 0.45-kg crow lands on a slender branch and bobs...Ch. 13 - A mass m is connected to the bottom of a vertical...Ch. 13 - Predict/Calculate Consider the pendulum shown in...Ch. 13 - An object undergoes simple harmonic motion of...Ch. 13 - A physical pendulum consists of a light rod of...Ch. 13 - Predict/Calculate A vertical hollow tube is...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - Predict/Calculate Referring to Example 13-5...Ch. 13 - Predict/Calculate Referring to Example 13-12...Ch. 13 - Predict/Calculate Referring to Example 13-12 (a)...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The height of a certain hill (in feet) is given by , where y is the distance (in miles) north, x the distance e...
Introduction to Electrodynamics
A coaxial cable carries equal but opposite charges on its two conductors. In electrostatic equilibrium, charge ...
Essential University Physics: Volume 2 (3rd Edition)
3. A passenger in a bus notices that a ball which has been at rest in the aisle suddenly starts to roll toward ...
College Physics (10th Edition)
16. A 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At , the mass is at and ...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Youre on a plane undergoing a banked turn, so steep that out the window you see the ground below. Yet your pret...
Essential University Physics (3rd 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
- A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.arrow_forwardIn testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m from the center. He then mountsthe tire in a vertical plane and notes that the radius vector to thespot is at an angle of 35.0 with the horizontal. Starting from rest,the tire is spun rapidly with a constant angular acceleration of 3.00 rad/s2. a. What is the angular speed of the wheel after 4.00 s? b. What is the tangential speed of the spot after 4.00 s? c. What is the magnitude of the total accleration of the spot after 4.00 s?" d. What is the angular position of the spot after 4.00 s?arrow_forwardA point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.arrow_forward
- The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?arrow_forwardJeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by = t2 + 0.800 t + 2.00,where t is in seconds and is in radians. At t = 0 and at t = 1.50s, what are the a. angular position, b. angular speed, and c. angularacceleration of the door?arrow_forwardLara is running just outside the circumference of a carousel, looking for her favorite horse to ride, with a constant angular speed of 1.00 rad/s. Just as she spots the horse, one-fourth of the circumference ahead of her, the carousel begins to move, accelerating from rest at 0.050 rad/s2. a. Taking the time when the carousel begins to move as t = 0, when will Lara catch up to the horse? b. Lara mistakenly passes the horse and keeps running at constant angular speed. If the carousel continues to accelerate at the same rate, when will the horse draw even with Lara again?arrow_forward
- A uniform rod of length b stands vertically upright on a rough floor and then tips over. What is the rods angular velocity when it hits the floor?arrow_forwardA particle moves 3.0 m along a circle of radius 1.5 m. (a) Through what angle does it rotate? (b) If the particle makes this trip in 1.0 s at a constant speed, what is its angular velocity? (c) What is its acceleration?arrow_forwardA solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?arrow_forward
- A turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular speed of 3.00 rad/s arounda frictionless, vertical axle. A wad of clay of mass m =0.250 kg drops onto and sticks to the edge of the turntable.What is the new angular speed of the turntable?arrow_forwardWhy is the following situation impossible? Starting from rest, a disk rotates around a fixed axis through an angle of 50.0 rad in a time interval of 10.0 s. The angular acceleration of the disk is constant during the entire motion, and its final angular speed is 8.00 rad/s.arrow_forwardA thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.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 LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher: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: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Moment of Inertia; Author: Physics with Professor Matt Anderson;https://www.youtube.com/watch?v=ZrGhUTeIlWs;License: Standard Youtube License