Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13, Problem 80PQ
Consider the downhill race in Example 13.9 (page 372). The acceleration of a particle down an incline is aparticle = g sin β, where β is the angle the incline makes with the horizontal. Show that the acceleration of a rolling object down an incline is given by
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Torque
You are playing with the masking tape that came in your lab box. This tape has a
thickness that is not small compared to the radius. You measure it and it has an
outer radius of 6.40 cm and an inner radius of 3.95 cm. You weigh the tape roll and
find that it has a mass of 79.5 g.
Now you roll the tape like you would a hoop (Rolling tape 1 (00:05)). The video
illustrates the idea of the motion - please do NOT use it for numerical values.
You find that the tape starts from rest, and has a torque applied when you push on it
with your finger. You push on the outer edge (perpendicular to the radial direction).
This causes the tape to accelerate. After 0.75 seconds, you find that the tape has an
angular velocity of 53.0 rpm (rotations / minute).
What is the Force you applied to the tape to start the rotation?
Your answer should have the following:
2 Decimal Places
Correct SI Units
Appropriate Signs for Vector quantity answers
Answers must be in the following format:
Written out and…
A solid spherical ball starts from rest at an initial height of 1.9 m, and rolls down an incline. The ball's mass is 2.5 kg and its radius is 23.2 cm. What is the ball's final center of mass (translational) speed (in m/s)?
What is the tension in the rope while the bucket is falling?
Take the free fall acceleration to be g = 9.80 m/s.
A bucket of water of mass 15.8 kg is suspended by a rope wrapped around a
windlass, that is a solid cylinder with diameter 0.260 m with mass 11.3 kg. The
cylinder pivots on a frictionless axle through its center. The bucket is released
from rest at the top of a well and falls a distance 10.9 m to the water. You can
ignore the weight of the rope.
N.
Submit
Request Answer
Part B
With what speed does the bucket strike the water?
Take the free fall acceleration to be g = 9.80 m/s.
%3D
ΑΣφ
m/s
Submit
Request Answer
Part C
What is the time of fall?
Take the free fall acceleration to be g = 9.80 m/s.
%D
Submit
Request Answer
• Part D
While the bucket is falling, what is the force exerted on the cylinder by the axle?
Take the free fall acceleration to be g = 9.80 m/s.
%3D
Chapter 13 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 13.1 - CASE STUDY When Is Energy Conserved? Under what...Ch. 13.6 - Figure 13.24 shows a particle with momentum p....Ch. 13.7 - Prob. 13.3CECh. 13.7 - Prob. 13.4CECh. 13.7 - Prob. 13.5CECh. 13 - Prob. 1PQCh. 13 - Prob. 2PQCh. 13 - A Frisbee flies across a field. Determine if the...Ch. 13 - Prob. 4PQCh. 13 - Prob. 5PQ
Ch. 13 - Rotational Inertia Problems 5 and 6 are paired. 5....Ch. 13 - A 12.0-kg solid sphere of radius 1.50 m is being...Ch. 13 - A figure skater clasps her hands above her head as...Ch. 13 - A solid sphere of mass M and radius Ris rotating...Ch. 13 - Suppose a disk having massMtot and radius R is...Ch. 13 - Problems 11 and 12 are paired. A thin disk of...Ch. 13 - Given the disk and density in Problem 11, derive...Ch. 13 - A large stone disk is viewed from above and is...Ch. 13 - Prob. 14PQCh. 13 - A uniform disk of mass M = 3.00 kg and radius r =...Ch. 13 - Prob. 16PQCh. 13 - Prob. 17PQCh. 13 - The system shown in Figure P13.18 consisting of...Ch. 13 - A 10.0-kg disk of radius 2.0 m rotates from rest...Ch. 13 - Prob. 20PQCh. 13 - Prob. 21PQCh. 13 - In Problem 21, what fraction of the kinetic energy...Ch. 13 - Prob. 23PQCh. 13 - Prob. 24PQCh. 13 - Prob. 25PQCh. 13 - A student amuses herself byspinning her pen around...Ch. 13 - The motion of spinning a hula hoop around one's...Ch. 13 - Prob. 28PQCh. 13 - Prob. 29PQCh. 13 - Prob. 30PQCh. 13 - Sophia is playing with a set of wooden toys,...Ch. 13 - Prob. 32PQCh. 13 - A spring with spring constant 25 N/m is compressed...Ch. 13 - Prob. 34PQCh. 13 - Prob. 35PQCh. 13 - Prob. 36PQCh. 13 - Prob. 37PQCh. 13 - Prob. 38PQCh. 13 - A parent exerts a torque on a merry-go-round at a...Ch. 13 - Prob. 40PQCh. 13 - Today, waterwheels are not often used to grind...Ch. 13 - Prob. 42PQCh. 13 - A buzzard (m = 9.29 kg) is flying in circular...Ch. 13 - An object of mass M isthrown with a velocity v0 at...Ch. 13 - A thin rod of length 2.65 m and mass 13.7 kg is...Ch. 13 - A thin rod of length 2.65 m and mass 13.7 kg is...Ch. 13 - Prob. 47PQCh. 13 - Two particles of mass m1 = 2.00 kgand m2 = 5.00 kg...Ch. 13 - A turntable (disk) of radius r = 26.0 cm and...Ch. 13 - CHECK and THINK Our results give us a way to think...Ch. 13 - Prob. 51PQCh. 13 - Prob. 52PQCh. 13 - Two children (m = 30.0 kg each) stand opposite...Ch. 13 - A disk of mass m1 is rotating freely with constant...Ch. 13 - Prob. 55PQCh. 13 - Prob. 56PQCh. 13 - The angular momentum of a sphere is given by...Ch. 13 - Prob. 58PQCh. 13 - Prob. 59PQCh. 13 - Prob. 60PQCh. 13 - Prob. 61PQCh. 13 - Prob. 62PQCh. 13 - A uniform cylinder of radius r = 10.0 cm and mass...Ch. 13 - Prob. 64PQCh. 13 - A thin, spherical shell of mass m and radius R...Ch. 13 - To give a pet hamster exercise, some people put...Ch. 13 - Prob. 67PQCh. 13 - Prob. 68PQCh. 13 - The velocity of a particle of mass m = 2.00 kg is...Ch. 13 - A ball of mass M = 5.00 kg and radius r = 5.00 cm...Ch. 13 - A long, thin rod of mass m = 5.00 kg and length =...Ch. 13 - A solid sphere and a hollow cylinder of the same...Ch. 13 - A uniform disk of mass m = 10.0 kg and radius r =...Ch. 13 - When a person jumps off a diving platform, she...Ch. 13 - One end of a massless rigid rod of length is...Ch. 13 - A uniform solid sphere of mass m and radius r is...Ch. 13 - Prob. 77PQCh. 13 - A cam of mass M is in the shape of a circular disk...Ch. 13 - Prob. 79PQCh. 13 - Consider the downhill race in Example 13.9 (page...Ch. 13 - Prob. 81PQ
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
- Consider the disk in Problem 71. The disks outer rim hasradius R = 4.20 m, and F1 = 10.5 N. Find the magnitude ofeach torque exerted around the center of the disk. FIGURE P12.71 Problems 71-75arrow_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_forwardThe velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?arrow_forward
- Consider a “round” rigid body with moment of inertia I = BMR2, where M is the body’s mass, R is the body’s radius, and B is a constant depending on the type of the body. The center of the “round” rigid body is attached to a spring of force constant k, and then the body is made to roll without slipping on a rough horizontal surface. Due to the spring, it is expected the body will oscillate by rolling back and forth from its resting position. A. Determine the angular frequency and the period for small oscillations of the round rigid body. Express your answer in terms of B. B. Among the four “round” rigid bodies shown at the table, for the same masses and radii, which among them will have the most number of cycles per second.arrow_forwardA uniform cube with mass 0.700 kg and volume 0.0270 m^3 is sitting on the floor. A uniform sphere with radius 0.300 m and mass 0.900 kg sits on top of the cube. How far is the center of mass of the two-object system above the floor? Express your answer with the appropriate units.arrow_forwardConsider a “round” rigid body with moment of inertia I = BMR2, where M is the body’s mass, R is the body’s radius, and B is a constant depending on the type of the body. The center of the “round” rigid body is attached to a spring of force constant k, and then the body is made to roll without slipping on a rough horizontal surface. Due to the spring, it is expected the body will oscillate by rolling back and forth from its resting position. A. Determine the angular frequency and the period for small oscillations of the round rigid body. Express your answer in terms of B.arrow_forward
- A bowling ball of mass M and radius R = 20.0 cm is released with an initial translational velocity of v = 17.0 m/s to the right and an initial angular velocity of zero. The bowling ball can be treated as a uniform solid sphere. The coefficient of kinetic friction between the ball and the surface is 0.190. The force of kinetic friction causes a linear acceleration, as well as a torque that causes the ball to spin. The ball rolls while slipping (sliding) along the horizontal surface for some time, and then rolls without slipping at constant velocity after that. Use g = 10 m/s2. (a) Which free-body diagram below shows all the forces acting on the ball while it is sliding? FN FN FN FBD 1 FBD 2 FBD 3 Fs FG FG Fs FG FBD 4 FBD 5 Fx FG FK O FBD 1 O FBD 2 O FBD 3 O FBD 4 O FBD 5 (b) What is the magnitude of the acceleration of the ball while it is sliding? m/s2 (c) What is the magnitude of the angular acceleration of the ball while it is sliding? rad/s2arrow_forwardIn the figure, a small disk of radius r-3.00 cm has been glued to the edge of a larger disk of radius R-6.00 cm so that the disks lie in the same plane. The disks can be rotated around a perpendicular axis through point O at the center of the larger disk. The disks both have a uniform density (mass per unit volume) of 1.40 x 103 kg/m³ and a uniform thickness of 6.00 mm. What is the rotational inertia of the two-disk assembly about the rotation axis through O? Number i 000172 Units kg-m^2arrow_forwardConsider a “round” rigid body with moment of inertia I = BMR2, where M is the body’s mass, R is the body’s radius, and B (beta) is a constant depending on the type of the body. The center of the “round” rigid body is attached to a spring of force constant k, and then the body is made to roll without slipping on a rough horizontal surface. Due to the spring, it is expected the body will oscillate by rolling back and forth from its resting position. A. Determine the angular frequency and the period for small oscillations of the round rigid body. Express your answers in terms of B (beta). B. Among the four “round” rigid bodies shown at the table, for the same masses and radii, which among them will have the most number of cycles per second.arrow_forward
- A solid sphere of mass M = 2.95 kg is mounted on a frictionless axle, which goes through its center. The moment of inertia of a solid sphere is given by I = 2MR2 /5 . A block of mass m = 1.05 kg hangs from a string which is wrapped around the edge of the sphere. The block is released from rest, and it begins to fall. Find the magnitude of the linear acceleration of the falling block, in m/s2arrow_forwardA 10.40 kg solid sphere with a 30.00 cm radius is initially at rest on a surface with friction. It is struck such that its impulse is 55.12 kg m/s, and no initial angular velocity. It travels some distance during which it rolls while slipping until it then begins to roll without slipping. What is the final translational velocity of the ball? Ignore any air resistance.arrow_forwardA billiard ball of mass M and radius R is initially moving with speed v0 without rotating. The ball slows down thanks to kinetic friction between the billiard ball and the table top, but starts rotating at the same time. Eventually, the ball rolls without slipping. The coefficient of kinetic friction between the table top is μk. Find the angular acceleration of the ball and the acceleration of the center of mass before it starts rolling without slipping. Find the speed of the center of mass when the ball starts rolling without slipping.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
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Static Equilibrium: concept; Author: Jennifer Cash;https://www.youtube.com/watch?v=0BIgFKVnlBU;License: Standard YouTube License, CC-BY