Homework Help is Here – Start Your Trial Now!
Science
Physics
The assembly shown in the figure below consists of a thin rod of length = 22.0 cm and mass m - 1.20 kg with a solid sphere of diameter d - 10.0 cm and mass M - 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. f @ (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in 3)? x How can you apply conservation of energy to the system of the assembly and Earth? What types of energy are changing? What are the positions of the centers of mass of the rod and the sphere? What is the change in height of each? J (b) What is the angular speed (in rad/s) of the rod and sphere? |x How is the rotational kinetic energy of the system related to its angular speed and moment of inertia? How can you find the total moment of inertia of the rod and sphere? What does the parallel-axis theorem say? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? x How is angular speed related to linear speed? What is the distance from the pivot to the center of mass of the sphere? m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 27.0 cm? (Express your answer as a percentage of fall.) Vswing is less than X Vall by x What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of Vfall does Vswing differ from Vall? %.

The assembly shown in the figure below consists of a thin rod of length = 22.0 cm and mass m - 1.20 kg with a solid sphere of diameter d - 10.0 cm and mass M - 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. f @ (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in 3)? x How can you apply conservation of energy to the system of the assembly and Earth? What types of energy are changing? What are the positions of the centers of mass of the rod and the sphere? What is the change in height of each? J (b) What is the angular speed (in rad/s) of the rod and sphere? |x How is the rotational kinetic energy of the system related to its angular speed and moment of inertia? How can you find the total moment of inertia of the rod and sphere? What does the parallel-axis theorem say? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? x How is angular speed related to linear speed? What is the distance from the pivot to the center of mass of the sphere? m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 27.0 cm? (Express your answer as a percentage of fall.) Vswing is less than X Vall by x What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of Vfall does Vswing differ from Vall? %.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
The assembly shown in the figure below consists of a thin rod of length = 22.0 cm and mass m - 1.20 kg with a solid sphere of diameter d - 10.0 cm and mass M - 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. f @ (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in 3)? x How can you apply conservation of energy to the system of the assembly and Earth? What types of energy are changing? What are the positions of the centers of mass of the rod and the sphere? What is the change in height of each? J (b) What is the angular speed (in rad/s) of the rod and sphere? |x How is the rotational kinetic energy of the system related to its angular speed and moment of inertia? How can you find the total moment of inertia of the rod and sphere? What does the parallel-axis theorem say? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? x How is angular speed related to linear speed? What is the distance from the pivot to the center of mass of the sphere? m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 27.0 cm? (Express your answer as a percentage of fall.) Vswing is less than X Vall by What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of Vfall does Vswing differ from Vall? %.
Transcribed Image Text:The assembly shown in the figure below consists of a thin rod of length = 22.0 cm and mass m - 1.20 kg with a solid sphere of diameter d - 10.0 cm and mass M - 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. f @ (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in 3)? x How can you apply conservation of energy to the system of the assembly and Earth? What types of energy are changing? What are the positions of the centers of mass of the rod and the sphere? What is the change in height of each? J (b) What is the angular speed (in rad/s) of the rod and sphere? |x How is the rotational kinetic energy of the system related to its angular speed and moment of inertia? How can you find the total moment of inertia of the rod and sphere? What does the parallel-axis theorem say? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? x How is angular speed related to linear speed? What is the distance from the pivot to the center of mass of the sphere? m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 27.0 cm? (Express your answer as a percentage of fall.) Vswing is less than X Vall by What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of Vfall does Vswing differ from Vall? %.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Moment of inertia
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS