Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10, Problem 5OQ
Assume a single 300-N force is exerted on a bicycle frame as shown in Figure OQ10.5. Consider the torque produced by this force about axes perpendicular to the plane of the paper and through each of the points A through E, where E is the center of mass of the frame. Rank the torques τA, τB, τC, τD, and τE from largest to smallest, noting that zero is greater than a negative quantity. If two torques are equal, note their equality in your ranking.
Figure OQ10.5
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The rotational kinetic energy term is often called the kinetic energy in the center of mass, while the translational kinetic energy term is called the kinetic energy of the center of mass.
You found that the total kinetic energy is the sum of the kinetic energy in the center of mass plus the kinetic energy of the center of mass. A similar decomposition exists for angular and linear momentum. There are also related decompositions that work for systems of masses, not just rigid bodies like a dumbbell.
It is important to understand the applicability of the formula Ktot=Kr+Kt. Which of the following conditions are necessary for the formula to be valid?
Choose all that apply.
The velocity vector v⃗ �→ must be perpendicular to the axis of rotation.
The velocity vector v⃗ �→ must be perpendicular or parallel to the axis of rotation.
The moment of inertia must be taken about an axis through the center of mass.
Tweedledum and Tweedledee are carrying a uniform wooden board that is LLL = 3.00 mm long and has a weight of w = 160 N. Tweedledum applies an upward force of magnitude F1 = 60.0 NN at the left end of the board.
Which of the following is the correct equation for Στ for the given rotation axis? All rotation axes lie on the x-axis and torques that would cause a counterclockwise rotation are positive.
Enter the letter(s) of the correct equation(s) in alphabetical order. For instance, if you thought that choices A, B, and D were correct, you would enter ABD.
Answer Choices:
Axis of Rotation
Et
A
x=0
(1/2)wL+F2d=0
B
x=L
(1/2)wL-F2(L-d)-F1L=0
C
x=0
(-1/2)wL+F2d=0
D
x=d
-F1d-F2(d-(1/2)L)=0
E
x=(1/2)L
(-1/2)F1L+F2(d-(1/2)L)
F
x=(1/2)L
(1/2)F1L+F2(d-(1/2)L)
A particle is located at the position vector r = (7.00Î + 10.00ĵ) m and a force exerted on it is given by F = (6.ooî + 5.00ĵ) N.
(a) What is the torque acting on the particle about the origin?
N.m
(b) Can there be another point about which the torque caused by this force on this particle will be in the opposite direction and half as large in magnitude?
Yes
No
(c) Can there be more than one such point?
Yes
No
(d) Can such a point lie on the y-axis?
Yes
No
(e) Can more than one such point lie on the y-axis?
Yes
No
(f) Determine the position vector of one such point. (Give a point on the y-axis.)
Chapter 10 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 10.1 - A rigid object is rotating in a counterclockwise...Ch. 10.2 - Consider again the pairs of angular positions for...Ch. 10.3 - Ethan and Joseph are riding on a merry-go-round....Ch. 10.4 - Prob. 10.4QQCh. 10.5 - (i) If you are trying to loosen a stubborn screw...Ch. 10.7 - Prob. 10.6QQCh. 10.9 - A solid sphere and a hollow sphere have the same...Ch. 10.10 - A competitive diver leaves the diving board and...Ch. 10.12 - Two items A and B are placed at the top of an...Ch. 10 - A cyclist rides a bicycle with a wheel radius of...
Ch. 10 - Prob. 2OQCh. 10 - Prob. 3OQCh. 10 - Prob. 4OQCh. 10 - Assume a single 300-N force is exerted on a...Ch. 10 - Consider an object on a rotating disk a distance r...Ch. 10 - Answer yes or no to the following questions. (a)...Ch. 10 - Figure OQ10.8 shows a system of four particles...Ch. 10 - As shown in Figure OQ10.9, a cord is wrapped onto...Ch. 10 - Prob. 10OQCh. 10 - Prob. 11OQCh. 10 - A constant net torque is exerted on an object....Ch. 10 - Let us name three perpendicular directions as...Ch. 10 - A rod 7.0 m long is pivoted at a point 2.0 m from...Ch. 10 - Prob. 15OQCh. 10 - A 20.0-kg horizontal plank 4.00 m long rests on...Ch. 10 - (a) What is the angular speed of the second hand...Ch. 10 - Prob. 2CQCh. 10 - Prob. 3CQCh. 10 - Which of the entries in Table 10.2 applies to...Ch. 10 - Prob. 5CQCh. 10 - Prob. 6CQCh. 10 - Prob. 7CQCh. 10 - Prob. 8CQCh. 10 - Three objects of uniform densitya solid sphere, a...Ch. 10 - Prob. 10CQCh. 10 - If the torque acting on a particle about an axis...Ch. 10 - Prob. 12CQCh. 10 - Stars originate as large bodies of slowly rotating...Ch. 10 - Prob. 14CQCh. 10 - Prob. 15CQCh. 10 - Prob. 16CQCh. 10 - Prob. 17CQCh. 10 - During a certain time interval, the angular...Ch. 10 - A bar on a hinge starts from rest and rotates with...Ch. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - The tub of a washer goes into its spin cycle,...Ch. 10 - Why is the following situation impossible?...Ch. 10 - An electric motor rotating a workshop grinding...Ch. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - A wheel 2.00 m in diameter lies in a vertical...Ch. 10 - A disk 8.00 cm in radius rotates at a constant...Ch. 10 - Make an order-of-magnitude estimate of the number...Ch. 10 - A car traveling on a flat (unbanked), circular...Ch. 10 - Prob. 14PCh. 10 - A digital audio compact disc carries data, each...Ch. 10 - Figure P10.16 shows the drive train of a bicycle...Ch. 10 - Big Ben, the Parliament tower clock in London, has...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - A war-wolf, or trebuchet, is a device used during...Ch. 10 - Prob. 20PCh. 10 - Review. Consider the system shown in Figure P10.21...Ch. 10 - The fishing pole in Figure P10.22 makes an angle...Ch. 10 - Find the net torque on the wheel in Figure P10.23...Ch. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Prob. 26PCh. 10 - A force of F=(2.00i+3.00j) N is applied to an...Ch. 10 - A uniform beam resting on two pivots has a length...Ch. 10 - Prob. 29PCh. 10 - Prob. 30PCh. 10 - Figure P10.31 shows a claw hammer being used to...Ch. 10 - Prob. 32PCh. 10 - A 15.0-m uniform ladder weighing 500 N rests...Ch. 10 - A uniform ladder of length L and mass m1 rests...Ch. 10 - BIO The arm in Figure P10.35 weighs 41.5 N. The...Ch. 10 - A crane of mass m1 = 3 000 kg supports a load of...Ch. 10 - An electric motor turns a flywheel through a drive...Ch. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - In Figure P10.40, the hanging object has a mass of...Ch. 10 - A potters wheela thick stone disk of radius 0.500...Ch. 10 - A model airplane with mass 0.750 kg is tethered to...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - A playground merry-go-round of radius R = 2.00 m...Ch. 10 - The position vector of a particle of mass 2.00 kg...Ch. 10 - Prob. 48PCh. 10 - Big Ben (Fig. P10.17), the Parliament tower clock...Ch. 10 - A disk with moment of inertia I1 rotates about a...Ch. 10 - Prob. 51PCh. 10 - A space station is constructed in the shape of a...Ch. 10 - Prob. 53PCh. 10 - Why is the following situation impossible? A space...Ch. 10 - The puck in Figure 10.25 has a mass of 0.120 kg....Ch. 10 - A student sits on a freely rotating stool holding...Ch. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - A cylinder of mass 10.0 kg rolls without slipping...Ch. 10 - A uniform solid disk and a uniform hoop are placed...Ch. 10 - A metal can containing condensed mushroom soup has...Ch. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - Prob. 63PCh. 10 - Review. A mixing beater consists of three thin...Ch. 10 - A long, uniform rod of length L and mass M is...Ch. 10 - The hour hand and the minute hand of Big Ben, the...Ch. 10 - Two astronauts (Fig. P10.67), each having a mass...Ch. 10 - Two astronauts (Fig. P10.67), each having a mass...Ch. 10 - Prob. 69PCh. 10 - Prob. 70PCh. 10 - The reel shown in Figure P10.71 has radius R and...Ch. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - A stepladder of negligible weight is constructed...Ch. 10 - A stepladder of negligible weight is constructed...Ch. 10 - A wad of sticky clay with mass m and velocity vi...Ch. 10 - Prob. 76PCh. 10 - Prob. 77PCh. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - Prob. 79PCh. 10 - Prob. 80PCh. 10 - A projectile of mass m moves to the right with a...Ch. 10 - Figure P10.82 shows a vertical force applied...Ch. 10 - A solid sphere of mass m and radius r rolls...Ch. 10 - Prob. 84PCh. 10 - BIO When a gymnast performing on the rings...
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
- Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23arrow_forwardConsider 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 long, thin rod of mass m = 5.00 kg and length = 1.20 m rotates around an axis perpendicular to the rod with an angularspeed of 3.00 rad/s. a. What is the angular momentum of therod if the axis passes through the rods midpoint? b. What is theangular momentum of the rod if the axis passes through a pointhalfway between its midpoint and its end?arrow_forward
- A long, uniform rod of length L and mass M is pivoted about a frictionless, horizontal pin through one end. The rod is released from rest in a vertical position as shown in Figure P10.65. At the instant the rod is horizontal, find (a) its angular speed, (b) the magnitude of its angular acceleration, (c) the x and y components of the acceleration of its center of mass, and (d) the components of the reaction force at the pivot. Figure P10.65arrow_forwardTwo astronauts (Fig. P10.67), each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. Treating the astronauts as particles, calculate (a) the magnitude of the angular momentum of the two-astronaut system and (b) the rotational energy of the system. By pulling on the rope, one of the astronauts shortens the distance between them to d/2. (c) What is the new angular momentum of the system? (d) What are the astronauts new speeds? (e) What is the new rotational energy of the system? (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? Figure P10.67 Problems 67 and 68.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
- A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56). When his arms are extended horizontally (Fig. P10.56a), the dumbbells are 1.00 m from the axis of rotation and the student rotates with an angular speed of 0.750 rad/s. The moment of inertia of the student plus stool is 3.00 kg m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.300 m from the rotation axis (Fig. P10.56b). (a) Find the new angular speed of the student. (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Figure P10.56arrow_forwardThe fishing pole in Figure P10.22 makes an angle of 20.0 with the horizontal. What is the torque exerted by the fish about an axis perpendicular to the page and passing through the anglers hand if the fish pulls on the fishing line with a force F=100N at an angle 37.0 below the horizontal? The force is applied at a point 2.00 m from the anglers hands. Figure P10.22arrow_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
- As shown in Figure OQ10.9, a cord is wrapped onto a cylindrical reel mounted on a fixed, frictionless, horizontal axle. When does the reel have a greater magnitude of angular acceleration? (a) When the cord is pulled down with a constant force of 50 N. (b) When an object of weight 50 N is hung from the cord and released. (c) The angular accelerations in parts (a) and (b) are equal. (d) It is impossible to determine. Figure OQ10.9arrow_forwardA wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R (Fig. P10.75). The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d R from the center. (a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (b) Is the mechanical energy of the claycylinder system constant in this process? Explain your answer. (c) Is the momentum of the claycylinder system constant in this process? Explain your answer. Figure P10.75arrow_forwardFigure P10.82 shows a vertical force applied tangentially to a uniform cylinder of weight Fg. The coefficient of static friction between the cylinder and all surfaces is 0.500. The force P is increased in magnitude until the cylinder begins to rotate. In terms of Fg, find the maximum force magnitude P that can be applied without causing the cylinder to rotate. Suggestion: Show that both friction forces will be at their maximum values when the cylinder is on the verge of slipping. Figure P10.82arrow_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 with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
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 with Modern ...
Physics
ISBN:9781337553292
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
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY