Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10, Problem 65P
A disk of radius R has an initial mass M. Then a hole of radius R/4 is drilled, with its edge at the disk center (Fig. 10.29). Find the new rotational inertia about the central axis. (Hint: Find the rotational inertia of the missing piece, and subtract it from that of the whole disk. You’ll Find the parallel-axis theorem helpful.)
FIGURE 10.29 Problems 65 and 70
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Suppose you exert a force of 227 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.)
(a) What torque (in N · m) is exerted? (Enter the magnitude.)
N.m
(b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.)
rad/s2
(c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 22.6 N exerted 2.50 cm from the axis? (Enter the magnitude.)
rad/s2
A square metal plate 0.180 m on cach side is pivoted about
an axis through point O at its center and perpendicular to the plate
(Fig. 10.39). Calculate the net torque about this axis due to the
three forces shown in the figure if the magnitudes of the forces are
F = 18.0 N, F2 = 26.0 N, and F3 = 14.0 N. The plate and all
forces are in the plane of the page.
F1
0.180 m
45°
0.180 m
Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.)
(a) What torque (in N · m) is exerted? (Enter the magnitude.)
N. m
(b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.)
|rad/s?
(c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.)
|rad/s?
Chapter 10 Solutions
Essential University Physics (3rd Edition)
Ch. 10.1 - A wheel undergoes constant angular acceleration,...Ch. 10.2 - The forces in Figs. 10.5 and 10.6 all have the...Ch. 10.3 - Would the rotational inertia of the two-mass...Ch. 10.3 - Explain why the rotational inertia of the solid...Ch. 10.3 - The figure shows two identical masses m connected...Ch. 10.4 - A wheel is rotating at 100 rpm. To spin it up to...Ch. 10.5 - The wheels of trains, subway cars, and other rail...Ch. 10 - Do all points on a rigid, rotating object have the...Ch. 10 - Prob. 2FTDCh. 10 - Why doesnt it make sense to talk about a bodys...
Ch. 10 - Two forces act on an object, but the net force is...Ch. 10 - Is it possible to apply a counterclockwise torque...Ch. 10 - A solid sphere and a hollow sphere of the same...Ch. 10 - A solid cylinder and a hollow cylinder of the same...Ch. 10 - A circular saw lakes a long time to stop rotating...Ch. 10 - A solid sphere and a solid cube have the same...Ch. 10 - The lower part of a horses leg contains...Ch. 10 - Given a fixed amount of a material, what shape...Ch. 10 - A ball starts from rest and rolls without slipping...Ch. 10 - Exercises and Problems Exercises Section 10.1...Ch. 10 - Whats the linear speed of a point (a) on Earths...Ch. 10 - Express each of the following in radians per...Ch. 10 - A 25-cm-diameter circular saw blade spins at 3500...Ch. 10 - A compact discs rotation varies from about 200 rpm...Ch. 10 - During startup, a power plants turbine accelerates...Ch. 10 - A merry-go-round starts front rest and accelerates...Ch. 10 - Section 10.2 Torque A 320-N frictional force acts...Ch. 10 - A 110-N m torque is needed to start a revolving...Ch. 10 - A car tune-up manual calls for tightening the...Ch. 10 - A 55-g mouse runs out to the end of the 17-cm-long...Ch. 10 - You have your bicycle upside down for repairs. The...Ch. 10 - Section 10.3 Rotational Inertia and the Analog of...Ch. 10 - The shaft connecting a power plants turbine and...Ch. 10 - The chamber of a rock-tumbling machine is a hollow...Ch. 10 - A wheels diameter is 92 cm, and its rotational...Ch. 10 - Three equal masses m are located at the vertices...Ch. 10 - (a) Estimate Earths rotational inertia, assuming...Ch. 10 - A neutron star is an extremely dense, rapidly...Ch. 10 - A 108-g Frisbee is 24 cm in diameter and has half...Ch. 10 - At the MIT Magnet Laboratory, energy is stored in...Ch. 10 - Section 10.4 Rotational Energy A 25-cm-diameter...Ch. 10 - Humankind uses energy at the rate of about 16 TW....Ch. 10 - A 150-g baseball is pitched at 33 m/s spinning at...Ch. 10 - (a) Find the energy stored in the flywheel of...Ch. 10 - A solid 2.4-kg sphere is rolling at 5.0 m/s. Find...Ch. 10 - What fraction of a solid disks kinetic energy is...Ch. 10 - A rolling ball has total kinetic energy 100 J, 40...Ch. 10 - A wheel turns through 2.0 revolutions while...Ch. 10 - Youre an engineer designing kitchen appliances,...Ch. 10 - An eagle with 2.1-m wingspan flaps its wings 20...Ch. 10 - A compact disc (CD) player varies the rotation...Ch. 10 - You rev your cars engine and watch the tachometer...Ch. 10 - A circular saw spins at 5800 rpm, and its...Ch. 10 - Full-circle rotation is common in mechanical...Ch. 10 - A pulley 12 cm in diameter is free to rotate about...Ch. 10 - A square frame is made from four thin rods, each...Ch. 10 - A thick ring has inner radius 12R, outer radius R,...Ch. 10 - A uniform rectangular flat plate has mass M and...Ch. 10 - Each propeller on a King Air twin-engine airplane...Ch. 10 - The cellular motor driving the flagellum in E....Ch. 10 - Verify by direct integration Table 10.2s entry for...Ch. 10 - Prob. 55PCh. 10 - A skaters body has rotational inertia 4.2 kgm2...Ch. 10 - A 2.4-kg block rests on a slope and is attached by...Ch. 10 - Youve got your bicycle upside down for repairs,...Ch. 10 - A potters wheel is a stone disk 90 cm in diameter...Ch. 10 - A ships anchor weighs 5.0kN. Its cable passes over...Ch. 10 - Starting from rest, a hollow ball rolls down a...Ch. 10 - A hollow ball rolls along a horizontal surface at...Ch. 10 - As an automotive engineer, youre charged with...Ch. 10 - A solid ball of mass M and radius R starts at rest...Ch. 10 - A disk of radius R has an initial mass M. Then a...Ch. 10 - A 50-kg mass is tied to a massless rope wrapped...Ch. 10 - Each wheel of a 320-kg motorcycle is 52 cm in...Ch. 10 - A solid marble starts from rest and rolls without...Ch. 10 - A disk of radius R and thickness w has a mass...Ch. 10 - The disk in Fig. 10.29 is rotating freely about a...Ch. 10 - Youre asked to check the specifications for a wind...Ch. 10 - In bicycling, each foot pushes on the pedal for...Ch. 10 - Prob. 73PCh. 10 - A thick ring of mass M has inner radius R1 and...Ch. 10 - A thin rod of length L and mass M is free to pivot...Ch. 10 - The local historical society has asked your...Ch. 10 - Youre skeptical about a new hybrid car that stores...Ch. 10 - Figure 10.31 shows an object of mass M with one...Ch. 10 - Figure 10.32 shows an apparatus used to measure...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
For a solid, we also define the linear thermal expansion coefficient, a, as the fractional increase in length p...
An Introduction to Thermal Physics
Use a computer to form the sum implied in the caption of Figure 14.17, taking = 1 s1 and using (a) the three t...
Essential University Physics: Volume 1 (3rd Edition)
The aperture is a single slit or a double slit.
College Physics: A Strategic Approach (3rd Edition)
16. On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a 6 iron. The free-fall a...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th 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
- Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) 50.74 N. m (b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.) 15.55 rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) 15.44 ]× rad/s²arrow_forwardBe sure to review Examples 10.11 and 10.12 (Section 10.6) before attempting these problems. Suppose that instead of hitting the center of the door, the bullet in (Figure 5) strikes the door at the edge farthest away from the hinge and embeds itself there. What is the angular speed of the door just after the bullet embeds itself? Take Vbullet = 320 m/s. Express your answer in radians per second. 1να ΑΣφ. W = rad/s Submit Request Answer Figure 5 of 5 > Part F Hinge What fraction of the initial kinetic energy of the bullet remains as kinetic energy after the collision? l= 0.50m Express your answer using two significant figures. m = 10g Bullet να ΑΣ φ. Voullet d = 1.00m M =15kg K2/K1 = Submit Request Answer Before Afterarrow_forwardSuppose you exert a force of 207 N tangential to a 0.275 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N· m) is exerted? (Enter the magnitude.) N. m (b) What is the angular acceleration (in rad/s²) assuming negligible opposing friction? (Enter the magnitude.) |rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 24.6 N exerted 1.25 cm from the axis? (Enter the magnitude.) rad/s2 Additional Materials O Readingarrow_forward
- Suppose you exert a force of 212 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N· m) is exerted? (Enter the magnitude.) N: m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 24.6 N exerted 2.00 cm from the axis? (Enter the magnitude.) rad/s2arrow_forwardA rod extends from x = 0 m to x = 2.3 m. It has a linear mass density given by: λ(x) = 9 x2 (kg/m). Calculate the rotational inertia of this rod if it is rotated about its center of mass, in kg m2. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forwardSuppose you exert a force of 167 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N m) is exerted? (Enter the magnitude.) 42.585 N.m (b) What is the angular acceleration (in rad/s²) assuming negligible opposing friction? (Enter the magnitude.) 2.44 X rad/s² (c) What is the angular acceleration (in rad/s²) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) rad/s²arrow_forward
- Suppose you exert a force of 192 N tangential to a 0.235 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) N · m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 20.6 N exerted 2.50 cm from the axis? (Enter the magnitude.) rad/s2arrow_forwardThe rotational inertia of a disk about its axis is 5.3kg.m^2. When a 7.1 kg weight is added to its rim, 9.4 m from the axis, the rotational inertia becomes:arrow_forwardSuppose you exert a force of 192 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a)What torque (in N · m) is exerted? (Enter the magnitude.) (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 21.6 N exerted 2.50 cm from the axis? (Enter the magnitude.)arrow_forward
- A 2m radius wheel with spokes, rotating at 100 rad/s, slows down to rotational velocity of 82 rad/s in 10s. (a) Find the rotational acceleration of the rotor. (b) Treating the spokes like rods (mrod = 10 kg) rotating about their center and the rim as a ring (mring = 82 kg), find the total inertia. (c) Find the torque acting on the wheel.arrow_forwardA hollow sphere (Icom plane, which is tilted 0 = 18.9 degrees above horizontal. The ball rolls up the incline plane, again without slipping. How far does the ball go up the plane (L) before it comes to a momentary stop? Assume there is negligible loss due to any friction in this process. MR?) of mass 1.25 kg and radius 0.151 m rolls without slipping at a speed of 8.33 m/s toward an inclined Image size: s ML Maxarrow_forwardA cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY