University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10, Problem Q10.21DQ
In Example 10.10 (Section 10.6) the angular speed ω changes, and this must mean that there is nonzero
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The angular moomentum of a point with a mass of m, a velocity v, and position r is: L = mr x v. Prove that the rate of change of L, dL/dt is equal to the torque (T = r x F). F is the force on the point.
A square metal plate with mass M = 1. 20 [kg] and side length 0.180 [m] is pivotedabout an axis through point O at its center and perpendicular to the plate. Threeforces of magnitude F1 = 18. 0 [N], F2 = 26. 0 [N], and F3 = 14. 0 [N] act on theplate as shown.
a. What is the net torque on the square plate due to these forces?
b. What is the angular acceleration of the disk? The moment of inertia for a plate of lengtha and width b rotating about its center is Icom = 1⁄12 M(a^2 + b^2).
c. If the plate is initially at rest, what is the angular velocity of the particle after 3. 00 [s]?
Consider a bar of length 5.5 m, being acted on by three forces and constrained to rotate about its left end. The magnitudes of the first two forces are 19 N and 26 N and the first force is acting on the end of the bar at an angle of 53
What is the torque in newton-meters, due to F1 on this bar relative to the left end?
What is the torque in newton-meters, due to F2 on this bar relative to the left end, if this force is acting at the midpoint of the bar? Use a coordinate system with positive directed out of the screen.
What is the magnitude of the force F3, in newtons, if the force is a distance 0.25 m from the left end and the bar is not rotating?
Chapter 10 Solutions
University Physics (14th Edition)
Ch. 10 - Can a single force applied to a body change both...Ch. 10 - Suppose you could use wheels of any type in the...Ch. 10 - Serious bicyclists say that if you reduce the...Ch. 10 - The harder you hit the brakes while driving...Ch. 10 - When an acrobat walks on a tightrope, she extends...Ch. 10 - When you turn on an electric motor, it takes...Ch. 10 - The work done by a force is the product of force...Ch. 10 - A valued client brings a treasured ball to your...Ch. 10 - You make two versions of the same object out of...Ch. 10 - Two identical masses are attached to frictionless...
Ch. 10 - The force of gravity acts on the baton in Fig....Ch. 10 - A certain solid uniform bail reaches a maximum...Ch. 10 - A wheel is rolling without slipping on a...Ch. 10 - A hoop, a uniform solid cylinder, a spherical...Ch. 10 - A ball is rolling along al speed without slipping...Ch. 10 - You are standing at the center of a large...Ch. 10 - Global Warming. If the earths climate continues to...Ch. 10 - It two spinning objects have the same angular...Ch. 10 - A student is sitting on a frictionless rotating...Ch. 10 - A point particle travels in a straight line at...Ch. 10 - In Example 10.10 (Section 10.6) the angular speed ...Ch. 10 - In Example 10.10 (Section 10.6) the rotational...Ch. 10 - As discussed in Section 10.6, the angular momentum...Ch. 10 - If you stop a spinning raw egg for the shortest...Ch. 10 - A helicopter has a large main rotor that rotates...Ch. 10 - In a common design for a gyroscope, the flywheel...Ch. 10 - A gyroscope is precessing about a vertical axis....Ch. 10 - A gyroscope takes 3.8 s to precess 1.0 revolution...Ch. 10 - A gyroscope is precessing as in Fig. 10.32. What...Ch. 10 - A bullet spins on its axis as it emerges from a...Ch. 10 - Calculate the torque (magnitude and direction)...Ch. 10 - Calculate the net torque about point O for the two...Ch. 10 - A square metal plate 0.180m on each side is...Ch. 10 - Three forces are applied to a wheel of radius...Ch. 10 - One force acting on a machine part is...Ch. 10 - A metal bar is in the xy-plane with one end of the...Ch. 10 - A machinist is using a wrench lo loosen a nut. The...Ch. 10 - A uniform disk with mass 40.0 kg and radius 0.200...Ch. 10 - The flywheel of an engine has moment of inertia...Ch. 10 - A cord is wrapped around ihe rim of a solid...Ch. 10 - A machine part has the shape of u solid uniform...Ch. 10 - CP A stone is suspended from the free end of a...Ch. 10 - Prob. 10.13ECh. 10 - CP A 15.0-kg bucket of water is suspended by a...Ch. 10 - A wheel rotates without friction about a...Ch. 10 - A 12.0-kg box resting on a horizontal,...Ch. 10 - A 2.20-kg hoop 1.20 m in diameter is rolling to...Ch. 10 - BIO Gymnastics. We can roughly model a gymnastic...Ch. 10 - What fraction of the total kinetic energy is...Ch. 10 - A siring is wrapped several times around the rim...Ch. 10 - A solid ball is released from rest and slides down...Ch. 10 - A hollow, spherical shell with mass 2.00 kg rolls...Ch. 10 - A 392-N wheel comes off a moving truck and rolls...Ch. 10 - A uniform marble rolls down a symmetrical bowl,...Ch. 10 - A thin, light string is wrapped around the outer...Ch. 10 - A Ball Rolling Uphill. A bowling ball rolls...Ch. 10 - A size-5 soccer ball of diameter 22.6 cm and mass...Ch. 10 - A size-5 soccer ball of diameter 22.6 cm and mass...Ch. 10 - A playground merry-go-round has radius 2.40 m and...Ch. 10 - An engine delivers 175 hp to an aircraft propeller...Ch. 10 - A 2.80-kg grinding wheel is in the form of a solid...Ch. 10 - An electric motor consumes 9.00 kJ of electrical...Ch. 10 - (a) Compute the torque developed by an industrial...Ch. 10 - An airplane propeller is 2.08 m in length (from...Ch. 10 - A 2.00-kg rock has a horizontal velocity of...Ch. 10 - A woman with mass 50 kg is standing on the rim of...Ch. 10 - Find the magnitude of the angular momentum of the...Ch. 10 - (a) Calculate the magnitude of the angular...Ch. 10 - CALC A hollow, thin-walled sphere of mass 12.0 kg...Ch. 10 - CP A small block on a frictionless, horizontal...Ch. 10 - Prob. 10.41ECh. 10 - A diver comes off a board with arms straight up...Ch. 10 - The Spinning Figure Skater. The outstretched hands...Ch. 10 - A solid wood door 1.00 m wide and 2.00 m high is...Ch. 10 - A large wooden turntable in the shape of a flat...Ch. 10 - Asteroid Collision! Suppose that an asteroid...Ch. 10 - Prob. 10.47ECh. 10 - A thin uniform rod has a length of 0.500 m and is...Ch. 10 - A thin, uniform metal bar. 2.00 m long and...Ch. 10 - A uniform. 4.5-kg, square, solid wooden gate 1.5 m...Ch. 10 - The rotor (flywheel) of a loy gyroscope has mass...Ch. 10 - A Gyroscope on the Moon. A certain gyroscope...Ch. 10 - Stabilization of the Hubble Space Telescope. The...Ch. 10 - A 50.0-kg grindstone is a solid disk 0.520 m in...Ch. 10 - 10.55A grindstone in the shape of a solid disk...Ch. 10 - A thin, uniform. 3.80-kg bar, 80.0 cm long, has...Ch. 10 - You are designing a simple elevator system for an...Ch. 10 - The Atwoods Machine. Figure P10.59 illustrates an...Ch. 10 - The mechanism shown in Fig. P10.60 is used to...Ch. 10 - A large 16.0-kg roll of paper with radius R = 18.0...Ch. 10 - A block with mass m = 5.00 kg slides down a...Ch. 10 - Two metal disks, one with radius R1 = 2.50 cm and...Ch. 10 - A lawn roller in the form of a thin-walled, hollow...Ch. 10 - Two weights are connected by a very light,...Ch. 10 - You complain about fire safety to the landlord of...Ch. 10 - The Yo-yo. A yo-yo is made from two uniform disks,...Ch. 10 - CP A thin-walled, hollow spherical shell of mass m...Ch. 10 - A basketball (which can be closely modeled as a...Ch. 10 - CP A solid uniform ball rolls without slipping up...Ch. 10 - Rolling Stones. A solid, uniform, spherical...Ch. 10 - You are designing a system for moving aluminum...Ch. 10 - A 42.0-cm-diameter wheel, consisting of a rim and...Ch. 10 - A uniform, 0.0300-kg rod of length 0.400 in...Ch. 10 - A uniform solid cylinder with mass M and radius 2R...Ch. 10 - Tarzan and Jane in the 21st Century. Tarzan has...Ch. 10 - A 5.00-kg ball is dropped from a height of 12.0 m...Ch. 10 - The solid wood door of a gymnasium is 1.00 m wide...Ch. 10 - A uniform rod of length L rests on a friction less...Ch. 10 - CP A large turntable with radius 6.00 m rotates...Ch. 10 - In your job as a mechanical engineer you are...Ch. 10 - A local ice hockey team has asked you to design an...Ch. 10 - You are designing a slide for a water park. In a...Ch. 10 - Neutron Star Glitches. Occasionally, a rotating...Ch. 10 - A 500.0-g bird is flying horizontally at 2.25 m/s,...Ch. 10 - CP A small block with mass 0.130 kg is attached to...Ch. 10 - A 55-kg runner runs around the edge of a...Ch. 10 - DATA The V6 engine in a 2014 Chevrolet Silverado...Ch. 10 - DATA You have one object of each of these shapes,...Ch. 10 - DATA You are testing a small flywheel (radius...Ch. 10 - Prob. 10.91CPCh. 10 - When an object is rolling without slipping, the...Ch. 10 - A demonstration gyroscope wheel is constructed by...Ch. 10 - The moment of inertia of the empty turntable is...Ch. 10 - While the turntable is being accelerated, the...Ch. 10 - A doubling of the torque produces a greater...Ch. 10 - If the bodys center of mass were not placed on the...
Additional Science Textbook Solutions
Find more solutions based on key concepts
32. (II) A merry-go-round accelerates from rest to 0.68 rad/s in 34 s. Assuming the merry-go-round is a uniform...
Physics: Principles with Applications
A 110-N m torque is needed to start a revolving door rotating. If child can push with a maximum force of 90 N,...
Essential University Physics (3rd Edition)
The angular speed of the electron.
Physics (5th Edition)
Choose the best answer to each of the following. Explain your reasoning. at the center of the star fusion conve...
Cosmic Perspective Fundamentals
Figure 11.15 shows the dimensions of a 880-g wooden baseball bat whose rotational inertia about its center of m...
Essential University Physics: Volume 1 (3rd Edition)
Imagine you are comparing the ability of electric hot plates of different sizes and temperatures to fully cook ...
Lecture- Tutorials for Introductory Astronomy
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 solid sphere of uniform density has a mass of 2.42 kg and a radius of 0.432 meters. A force of 13.2 Newtons is applied tangentially to the equator of the sphere. If the sphere is free to rotate without friction about an axis perpendicular to the equator to which the 13.2 Newton force is applied, what is the angular acceleration α of the sphere caused by the applied force? It may be useful to bear in mind that the moment of inertia I for a solid sphere of uniform density is I = (2/5)MR^2 where M is the mass of the sphere and R is the radius of the sphere. Also, bear in mind in this case that the torque τ is τ = RF since the force F is applied tangentially to the equator. A. 15.3 rad/s^2 B. 31.5 rad/s^2 C. 50.3 rad/s^2 D. 68.5 rad/s^2arrow_forwardLet F be a force acting on an object, and let r be a position vector from a rotational center to the point of application of the force, the magnitude of the torque is given by the scalar F.r.cosɵ. Is this statement correct?arrow_forwardShow that the rotational inertia of a rectangular plate of sides a and b about an axis perpendicular to the plate (of mass M) through its center is M/12(a^2 + b^2).arrow_forward
- A rigid, massless rod has three particles with equal masses attached to it as shown. The rod is free to rotate in a vertical plane about a frictionless axle perpendicular to the rod through the point P and is released from rest in the horizontal position at t = 0. Assuming m and d are known, find (a) the moment of inertia of the system of three particles about the pivot, (b) the torque acting on the system at t = 0, (c) the angular acceleration of the system at t = 0, (d) the linear acceleration of the particle labeled 3 at t = 0, (e) the maximum kinetic energy of the system, (f) the maximum angular speed reached by the rod, (g) the maximum angular momentum of the system, and (h) the maximum speed reached by the particle labeled 2.arrow_forwardA 20 kg solid door is 220 cm tall, 95 cm wide. What is the door's moment of inertia for rotation on its hinges? What is the door's moment of inertia for rotation about a vertical axis inside the door, 14 cm from one edge?arrow_forwardA gymnast is performing a giant swing on the high bar. In a simplified model of the giant swing, treat the gymnast as a rigid object that swings around the bar without friction. With what angular speed should he be moving at the bottom of the giant swing in order to make it all the way around? The distance from the bar to his feet is 5.16 m and his center of gravity is 2.58 m from his feet. in rad/s?arrow_forward
- A 200 g uniform rod of length 5.0 m is pivoted about one end. What would be the angular acceleration due to gravity if the rod were held horizontally and released from rest?arrow_forwardThe ammonia molecule can be treated as a symmetric rigid rotator, with its 3 hydrogen atoms lying in the xy plane and the nitrogen atom lying above the plane on the z axis, as shown in the attached image. If we call the moment of inertia about the z acis I3, and the moments about the pair of axes perpendicular to the z axis I1, the rotational energy of the molecule can be written as Eq 1 (see provided image). Say that at time t = 0, the wave function of the ammonia molecule is given as Eq 2 (see provided image), where the Yl, m1(θ, Φ) are the sphereical harmonics. Determine the probability that a measure of the rotational energy of the molecule yields the value 0 for the state ψ. What is <E> for this state?arrow_forwardWhile sunbathing on the balcony of your 3rd floor apartment, you notice a gorilla drop a m = 38.2 kg crate from rest from the roof of the 5-story building across the street. Since you just completed a course on surveying, you know that the two identical buildings are d = 29 m apart, and have floors that are h = 5.1 m tall. The first floor is at ground level, as shown.a. Determine the magnitude of the angular momentum of the crate, in kilogram meters squared per second, as observed by you as it passes the floor of the 4th floor balcony of the other building. Lb =b. Determine the magnitude of the angular momentum of the crate, in kilogram meters squared per second, as observed by you as it passes the floor of the 3rd floor balcony of the other building, directly across from you. Lc =c. Determine the magnitude of the angular momentum of the crate, in kilogram meters squared per second, as observed by you as it passes the floor of the 2nd floor balcony of the other building. Ld =d.…arrow_forward
- If torque is a vector, with a specific direction in space, what is meant by clockwise and counterclockwise torques? If the sums of these torques on a rigid body are equal, what does this imply physically?arrow_forwardIn unit-vector notation, what is the net torque about the origin on a flea located at coordinates (0, -2.04 m, 5.53 m) when forces F→1=(1.06N)k̂ and F→2=(−7.18N)ĵ act on the flea?arrow_forwardA uniform solid sphere having mass M = 85.0 g and a radius R = 0.70 m rolls on a horizontal surface and then rolls up an incline at an angle of 60.0º. At the bottom of the incline, the sphere's center of mass has a translational speed of 5.8 m/s. If the frictional losses are negligible, how far does the sphere travel up along the incline?Can you write it out on paper? I'm having a hard time understanding the problem when it is typed out.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 LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
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
Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY