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 44SP
A cord 3.0 m long is wrapped around the axle of a wheel. The cord is pulled with a constant force of 40 N, and the wheel revolves as a result. When the cord leaves the axle, the wheel is rotating at 2.0 rev/s. Determine the moment of inertia of the wheel and axle. Neglect friction. [Hint: The easiest solution is obtained via the energy method.]
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 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
- Which of the entries in Table 10.2 applies to finding the moment of inertia (a) of a long, straight sewer pipe rotating about its axis of symmetry? (b) Of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? (c) Of a uniform door turning on its hinges? (d) Of a coin turning about an axis through its center and perpendicular to its faces?arrow_forwardWhy is the following situation impossible? Starting from rest, a disk rotates around a fixed axis through an angle of 50.0 rad in a time interval of 10.0 s. The angular acceleration of the disk is constant during the entire motion, and its final angular speed is 8.00 rad/s.arrow_forwardThe propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?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_forwardA disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.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_forward
- A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.arrow_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_forwardA turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular speed of 3.00 rad/s arounda frictionless, vertical axle. A wad of clay of mass m =0.250 kg drops onto and sticks to the edge of the turntable.What is the new angular speed of the turntable?arrow_forward
- A disk with moment of inertia I1 rotates about a frictionless, vertical axle with angular speed i. A second disk, this one having moment of inertia I2 and initially not rotating, drops onto the first disk (Fig. P10.50). Because of friction between the surfaces, the two eventually reach the same angular speed f. (a) Calculate f. (b) Calculate the ratio of the final to the initial rotational energy. Figure P10.50arrow_forwardRigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.18). The system rotates about the x axis with an angular speed of 2.00 rad/s. Find (a) the moment of inertia about the x axis, (b) the total rotational kinetic energy evaluated from 12I2, (c) the tangential speed of each particle, and (d) the total kinetic energy evaluated from 12mivi2. (e) Compare the answers for kinetic energy in parts (b) and (d). Figure P10.18arrow_forwardIf the torque acting on a particle about an axis through a certain origin is zero, what can you say about its angular momentum about that axis?arrow_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 LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
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
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
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
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
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