The assembly shown in the figure below consists of a thin rod of length f = 23.2 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. (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 6.89 (b) What is the angular speed (in rad/s) of the rod and sphere? 8.75 v rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? 2.47 v m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.2 cm? (Express your answer as a percentage.) Vswing is greater than v Vall by 5.1 What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of veal does veming differ from va? %.

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)...
icon
Related questions
Question
The assembly shown in the figure below consists of a thin rod of length e = 23.2 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.
M
m
(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?
6.89
(b) What is the angular speed (in rad/s) of the rod and sphere?
8.75
rad/s
(c) What is the linear speed (in m/s) of the center of mass of the sphere?
2.47
m/s
(d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.2 cm? (Express your answer as a percentage.)
is greater than ♥
Vfall by 5.1
swing
V
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 v
differ from vall? %.
swing
Transcribed Image Text:The assembly shown in the figure below consists of a thin rod of length e = 23.2 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. M m (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 6.89 (b) What is the angular speed (in rad/s) of the rod and sphere? 8.75 rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? 2.47 m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.2 cm? (Express your answer as a percentage.) is greater than ♥ Vfall by 5.1 swing V 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 v differ from vall? %. swing
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Rotational Kinetic energy
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