Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10, Problem 30SP
A uniform homogeneous solid disk lies in a horizontal plane. What would happen to the value of its moment of inertia about its central vertical axis if its diameter were doubled, keeping its mass fixed? [Hint: See Fig. 10-1.]
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The moment of inertia of a solid body about an axis in 3-space relates the angular acceleration about this axis to torque (force
twisting the body). The moments of inertia about the coordinate axes of a body of constant density and mass m occupying a
region W of volume V are defined to be
1, = +2)av
1, = L+)av
m
m
m
(3? + 2) dV
V
Iy
(22 + 2?) dV
V
(22
V
Use these definitions to find the moment of inertia about the z-axis of the rectangular solid of mass 180 given by 0
(a) A solid cylinder of mass 1.50 kg and radius 55.0 cm has a net torque of magnitude 0.170 N-m about the axis through its center. Determine the magnitude of its angular acceleration.Â
(b) Consider the cylinder described in part (a) above. If it is rotating at 2.11 rad/s about the axis through its center, determine its rotational kinetic energy.
To develop muscle tone, a woman lifts a 2.00-kg
weight held in her hand. She uses her biceps
muscle to flex the lower arm through an angle of
60.0°. (a) What is the angular acceleration if the
weight is 24.0 cm from the elbow joint, her
forearm has a moment of inertia of 0.250 kg
and the net force she exerts is 750 N at an
effective perpendicular lever arm of 2.00 cm? (b)
How much work does she do?
m²
Chapter 10 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 10 - 29. A homogeneous cylinder of radius R and mass m...Ch. 10 - 30. A uniform homogeneous solid disk lies in a...Ch. 10 - 31. A uniform homogeneous solid disk having a...Ch. 10 - 32. Picture a rigid rod of length L having...Ch. 10 - 33. Suppose we put a third tiny sphere of mass m...Ch. 10 - 34. Consider the arrangement in the previous...Ch. 10 - 10.35 [I] A flat uniform homogeneous disk is...Ch. 10 - 10.36 [II] A uniform homogeneous rod of length L...Ch. 10 - 10.37 [II] A uniform homogeneous rod of length L...Ch. 10 - Prob. 38SP
Ch. 10 - 10.39 [I] A force of 200 N acts tangentially on...Ch. 10 - 10.40 [I] An 8.0-kg wheel has a radius of gyration...Ch. 10 - 10.41 [II] Determine the constant torque that must...Ch. 10 - 10.42 [II] A 4.0-kg wheel of 20-cm radius of...Ch. 10 - 10.43 [II] Compute the rotational KE of a 25-kg...Ch. 10 - 10.44 [II] A cord 3.0 m long is wrapped around the...Ch. 10 - 45. A 500-g wheel that has a moment of inertia of...Ch. 10 - 46. When 100 J of work is done on a stationary...Ch. 10 - 47. A 5.0-kg wheel with a radius of gyration of 20...Ch. 10 - 48. An electric motor runs at 900 rpm and delivers...Ch. 10 - 49. The driving side of a belt has a tension of...Ch. 10 - 10.50 [III] A 25-kg wheel has a radius of 40 cm...Ch. 10 - 10.51 [III] A wheel and axle having a total moment...Ch. 10 - 52. A solid uniform homogeneous disk of radius r...Ch. 10 - 53. A 20-kg solid disk (I = Mr2) rolls on a...Ch. 10 - 10.54 [II] A 6.0-kg bowling ball starts from rest...Ch. 10 - 10.55 [II] A tiny solid ball rolls without...Ch. 10 - 10.56 [I] Compute the radius of gyration of a...Ch. 10 - 10.57 [I] Figure 10-13 shows four masses that are...Ch. 10 - 10.58 [I] Determine the moment of inertia (a) of a...Ch. 10 - 10.59 [II] Rod OA in Fig. 10-14 is a meterstick....Ch. 10 - Prob. 60SPCh. 10 - 10.61 [II] A large horizontal disk is rotating on...Ch. 10 - 10.63 [II] A 90-kg person stands at the edge of a...
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
- If the angular acceleration of a rigid body is zero, what is the functional form of the angular velocity?arrow_forwardFind 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_forwardA 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_forward
- A 12.0-kg solid sphere of radius 1.50 m is being rotated by applying a constant tangential force of 10.0 N at a perpendicular distance of 1.50 m from the rotation axis through the center of the sphere. If the sphere is initially at rest, how many revolutions must the sphere go through while this force is applied before it reaches an angular speed of 30.0 rad/s?arrow_forwardThe precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?arrow_forwardA rigid body with a cylindrical cross-section is released from the top of a 30 incline. It rolls 10.0 m to the bottom in 2.60 s. Find the moment of inertia of the body In terms of its mass m and radius r.arrow_forward
- A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an incline to a vertical height of 1.0 m. If a hollow sphere of the same mass and radius is given the same initial velocity how high vertically does it roll up the incline?arrow_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 constant torque is applied to a rigid body whose moment of inertia is 4.0kgm2 around the axis of rotation. If the wheel starts from rest and attains an angular velocity of 20.0 rad/s in 10.0 s, what is the applied torque?arrow_forward
- Rotational Inertia Problems 5 and 6 are paired. 5. N A system consists of four boxes modeled as particles connected by very lightweight, stiff rods (Fig. P13.5). The system rotates around the z axis, which points out of the page. Each particle has a mass of 5.00 kg. The distances from the z axis to each particle are r1 = 32.0 cm, r2 = 16.0 cm, r3 = 17.0 cm, and r4 = 34.0 cm. Find the rotational inertia of the system around the z axis. 6. N Use the information in Problem 5 to find the rotational inertia of the system around particle 1. FIGURE P13.5 Problems 5 and 6.arrow_forwardA solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?arrow_forwardA constant net torque is applied to an object. Which one of the following will not be constant? (a) angular acceleration, (b) angular velocity, (c) moment of inertia, or (d) center of gravity.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University 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 LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher: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
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY