College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9, Problem 9CQ
Can you think of a body that has the same moment of inertia for all possible axes? If so, give an example, and if not, explain why this is not possible. Can you think of a body that has the same moment of inertia for all axes passing through a certain point? If so, give an example and indicate where the point is located.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
During a steady right turn, a person exerts the forces shown on the steering wheel. Note that each force consists of a tangential
component and a radially-inward component. Determine the moment exerted about the steering column at O. The moment will be
positive if counterclockwise, negative if clockwise.
7.7 N
31
17°
17⁰
Answer: M-
395 mm
i
31°
7.7 N
B
N-m
Three pairs of balls are connected by very light rods as shown. Rank in order, from smallest to largest, the moments of inertia I1 , I2 , and I3 about axes through the centers of the rods.
Chapter 9 Solutions
College Physics (10th Edition)
Ch. 9 - What is the difference between the tangential...Ch. 9 - A flywheel rotates with constant angular velocity....Ch. 9 - A flywheel rotates with constant angular...Ch. 9 - A uniform ring of mass M and radius R and a point...Ch. 9 - According to experienced riders, you make a bike...Ch. 9 - A solid ball, a solid cylinder, and a hollow...Ch. 9 - Experienced cooks can tell whether an egg is raw...Ch. 9 - Part of the kinetic energy of a moving automobile...Ch. 9 - Can you think of a body that has the same moment...Ch. 9 - A client has come to you with two metal balls of...
Ch. 9 - If a ball roils down an irregularly shaped hill...Ch. 9 - A uniform marble rolls down a symmetric bowl,...Ch. 9 - When a wheel turns through one complete rotation,...Ch. 9 - Two points are on a disk that rotates about an...Ch. 9 - A bicycle wheel rotating at a rate of 12 rad/s...Ch. 9 - Two uniform solid spheres of the same size, but...Ch. 9 - A disk starts from rest and has a constant angular...Ch. 9 - Two unequal masses m and 2m are attached to a thin...Ch. 9 - A thin uniform bar has a moment of inertia I about...Ch. 9 - Two small objects of equal weight are attached to...Ch. 9 - A disk starts from rest and rotates with constant...Ch. 9 - Two identical merry-go-rounds are rotating at the...Ch. 9 - A solid sphere and a hollow sphere, both uniform...Ch. 9 - A uniform ball rolls without slipping toward a...Ch. 9 - A flexible straight wire 75.0 cm long is bent into...Ch. 9 - (a) What angle in radians is subtended by an arc...Ch. 9 - (a) Calculate the angular velocity (in rad/s) of...Ch. 9 - The once-popular LP (long-play) records were 12...Ch. 9 - If a wheel 212 cm in diameter takes 2.25 s for...Ch. 9 - A curve ball is a type of pitch in which the...Ch. 9 - A laser beam aimed from the earth is swept across...Ch. 9 - Communications satellites. Communications...Ch. 9 - An airplane propeller is rotating at 1900 rpm. (a)...Ch. 9 - At t = 0 a cooling fan running at 200 rad/s is...Ch. 9 - A turntable that spins at a constant 78.0 rpm...Ch. 9 - DVDs. The angular speed of digital video discs...Ch. 9 - A circular saw blade 0.200 m in diameter starts...Ch. 9 - A wheel turns with a constant angular acceleration...Ch. 9 - An electric fan is turned off, and its angular...Ch. 9 - A flywheel in a motor is spinning at 500.0 rpm...Ch. 9 - A flywheel having constant angular acceleration...Ch. 9 - A potters wheel is spinning with an initial...Ch. 9 - A car is traveling at a constant speed on the...Ch. 9 - (a) A cylinder 0.150 m in diameter rotates in a...Ch. 9 - A wheel rotates with a constant angular velocity...Ch. 9 - Ultracentrifuge. Find the required angular speed...Ch. 9 - Exercise! An exercise bike that you pedal in place...Ch. 9 - A flywheel with a radius of 0.300 m starts from...Ch. 9 - A car is traveling at a speed of 101 km/h on the...Ch. 9 - Dental hygiene. Electric toothbrushes can be...Ch. 9 - The spin cycles of a washing machine have two...Ch. 9 - A slender metal rod has a mass M and length L. The...Ch. 9 - A thin uniform bar has two small balls glued to...Ch. 9 - Use the formulas of Table 9.2 to find the moment...Ch. 9 - Four small 0.200 kg spheres, each of which you can...Ch. 9 - Suppose you are given a steel bar and you cut it...Ch. 9 - A bicycle chain connects two sprockets as shown in...Ch. 9 - A wagon wheel is constructed as shown in Figure...Ch. 9 - You need to design an industrial turntable that is...Ch. 9 - A grinding wheel in the shape of a solid disk is...Ch. 9 - The flywheel of a gasoline engine is required to...Ch. 9 - An airplane propeller is 2.08 m in length (from...Ch. 9 - Storing energy in flywheels. It has been suggested...Ch. 9 - A light string is wrapped around the outer rim of...Ch. 9 - A solid uniform 3.25 kg cylinder, 65.0 cm in...Ch. 9 - A solid copper disk has a radius of 0.2 m, a...Ch. 9 - Gymnastics. We can roughly model a gymnastic...Ch. 9 - A bicycle racer is going downhill at 11.0 m/s...Ch. 9 - A 2.20 kg hoop 1.20 m in diameter is rolling to...Ch. 9 - A solid uniform sphere and a uniform spherical...Ch. 9 - A size-5 soccer bail of diameter 22.6 cm and mass...Ch. 9 - A solid uniform marble and a block of ice, each...Ch. 9 - What fraction of the total kinetic energy is...Ch. 9 - A string is wrapped several times around the rim...Ch. 9 - A 150.0 kg cart rides down a set of tracks on four...Ch. 9 - A uniform marble rolls down a symmetric bowl,...Ch. 9 - A 7300 N elevator is to be given an acceleration...Ch. 9 - A 392 N wheel comes off a moving truck and rolls...Ch. 9 - Odometer. The odometer (mileage gauge) of a car...Ch. 9 - Speedometer. Your cars speedometer works in much...Ch. 9 - A passenger bus in Zurich, Switzerland, derived...Ch. 9 - Kinetic energy of bicycle wheels. A 55 kg woman is...Ch. 9 - Compact discs. When a compact disc (CD) is...Ch. 9 - A vacuum cleaner belt is looped over a shaft of...Ch. 9 - A basketball (which can be closely modeled as a...Ch. 9 - Human rotational energy. A dancer is spinning at...Ch. 9 - A solid uniform spherical boulder rolls down a...Ch. 9 - A thin uniform rod 50.0 cm long with mass 0.320 kg...Ch. 9 - In redesigning a piece of equipment, you need to...Ch. 9 - A solid uniform spherical stone starts moving from...Ch. 9 - A solid, uniform hall rolls without slipping up a...Ch. 9 - The kinetic energy of walking. If a person of mass...Ch. 9 - The kinetic energy of running. Using the previous...Ch. 9 - The Spinning Eel. American eels are freshwater...Ch. 9 - The eel is observed to spin at 14 rev/s clockwise,...Ch. 9 - The eel has a certain amount of rotational kinetic...Ch. 9 - A new species of eel is found to have the same...
Additional Science Textbook Solutions
Find more solutions based on key concepts
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
14.40 A uniform, solid metal disk of mass 6.50 kg and diameter 24.0 cm hangs in a horizontal plane, supported a...
University Physics with Modern Physics (14th Edition)
The reason that the fossil fuels are non-renewable resource.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
Express the unit vectors in terms of (that is, derive Eq. 1.64). Check your answers several ways Also work o...
Introduction to Electrodynamics
An object undergoes acceleration 2.3 + 3.6 m/s2 for 10 s. At the end of this time, its velocity is 33 + 15 m/s....
Essential University Physics (3rd Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th 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
- Consider an object on a rotating disk a distance r from its center, held in place on the disk by static friction. Which of the following statements is not true concerning this object? (a) If the angular speed is constant, the object must have constant tangential speed. (b) If the angular speed is constant, the object is not accelerated. (c) The object has a tangential acceleration only if the disk has an angular acceleration. (d) If the disk has an angular acceleration, the object has both a centripetal acceleration and a tangential acceleration. (e) The object always has a centripetal acceleration except when the angular speed is zero.arrow_forwardAn ultracentrifuge accelerates from to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2 ? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in m/s2 and multiples of g of this point at full rpm? (d) What is the total distance travelled by a point 9.5 cm from the axis of totation of the ultracentrifuge?arrow_forwardA 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_forward
- Calculate the moment of inertia of a skater given the following information. (a) The 60.0-kg skater is approximated as a cylinder that has a 0.110-m radius. b) The skater with arms extended is approximated by a cylinder that is 52.5 kg, has a 0.110-m radius, and has two 0.900-m-long arms which are 3.75 kg each and extend straight out from the cylinder like rods rotated about their ends.arrow_forwardA system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular cylinder of mass 1.0 kg with inner radius 20 cm and outer radius 30 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10 rev/s. (a) What is the moment of inertia of the system? (b) What is its rotational kinetic energy?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
- Problems 62 and 63 are paired. 62. C A disk is rotating around a fixed axis that passes through its center and is perpendicular to the face of the disk. Consider a point on the rim of the disk (point R) and another point halfway between the center and the rim (point H) at one particular instant. a. How does the angular speed v of the disk at point H compare with the angular speed of the disk at point R? b. How does the tangential speed of the disk at point H compare with the tangential speed of the disk at point R? c. Suppose we pick a point H on the disk at random (by throwing a dart, for example), and we compare the speeds at that point with the speeds at point R. How will the answers to parts (a) and (b) be different? Explain.arrow_forwardAn aircraft is coming in for a landing at 300 meters height when the propeller falls off. The aircraft is flying at 40.0 m/s horizontally. The propeller has rotation rate of 20 rev/s, a moment of inertia fo 70.0kgm2 , and mass of 200 kg. Neglect air resistance. (a) With what translational velocity does the propeller hit the ground? (b) What is the rotation rate of the propeller at impact?arrow_forwardA system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with respect to each other. The masses and distances to the axis of the point particles are m1=0.1kg , r1=0.2m , m2=0.05kg , r2=0.4m , m3=0.5kg , r3=0.01m . (a) What is the moment of inertia of the system? (b) What is the rotational kinetic energy of the system?arrow_forward
- A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?arrow_forwardFigure OQ10.6 shows a system of four particles joined by light, rigid rods. Assume a = b and M is larger than m. About which of the coordinate axes does the system have (i) the smallest and (ii) the largest moment of inertia? (a) the x axis (b) the y axis (c) the z axis, (d) The moment of inertia is the same small value for two axes, (e) The moment of inertia is the same for all three axes.arrow_forwardThe angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as shown in the following figure, one at 10 cm from the ratation axis and the other at 20 cm from the rotation axis. (a) What is the instantaneous angular velocity of the rod at t=5s ? (b) What is the angular acceleration of the rod? (c) What are the tangential speeds of the beads at t=5s ? (d) What are the tangential acceleration of the beads at t=5s ? (e) What are the centripetal accelerations of the beads at t=5s ?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Moment of Inertia; Author: Physics with Professor Matt Anderson;https://www.youtube.com/watch?v=ZrGhUTeIlWs;License: Standard Youtube License