m A solid sphere of mass 3m and radius 2R has a rope tied around it. The free end is wrapped around a pulley with mass and radius R which in turn suspends a block of mass m'. (a) What is the moment of inertia for the sphere and for the pul- ley/disk? (b) Draw an extended free-body diagram for the sphere and then find the tension in the rope pulling the sphere in terms of the linear acce- leartion of the rope and mass m. (c) Draw a simple free-body diagram of the hanging mass and solve for the tension in the other part of the rope in terms of the linear acceler- ation and the mass m'. (d) Now, draw an extended free-body diagram of the pulley and solve for the linear acceleration of the rope. Your answer should now only depend on the given masses. (e) Does your answer make sense if the pulley and sphere have no mass?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
Problem 1 Spherulley
A solid sphere of mass 3m and radius 2R has a rope tied around
it. The free end is wrapped around a pulley with mass m
and radius R which in turn suspends a block of mass m'. (a)
What is the moment of inertia for the sphere and for the pul-
ley/disk?
(b) Draw an extended free-body diagram for the sphere and then find
the tension in the rope pulling the sphere in terms of the linear acce-
leartion of the rope and mass m. (c) Draw a simple free-body diagram
of the hanging mass and solve for the tension in the other part of the rope in terms of the linear acceler-
ation and the mass m'.
(d) Now, draw an extended free-body diagram of the pulley and solve for the linear acceleration of the
rope. Your answer should now only depend on the given masses. (e) Does your answer make sense if the
pulley and sphere have no mass?
Transcribed Image Text:Problem 1 Spherulley A solid sphere of mass 3m and radius 2R has a rope tied around it. The free end is wrapped around a pulley with mass m and radius R which in turn suspends a block of mass m'. (a) What is the moment of inertia for the sphere and for the pul- ley/disk? (b) Draw an extended free-body diagram for the sphere and then find the tension in the rope pulling the sphere in terms of the linear acce- leartion of the rope and mass m. (c) Draw a simple free-body diagram of the hanging mass and solve for the tension in the other part of the rope in terms of the linear acceler- ation and the mass m'. (d) Now, draw an extended free-body diagram of the pulley and solve for the linear acceleration of the rope. Your answer should now only depend on the given masses. (e) Does your answer make sense if the pulley and sphere have no mass?
Expert Solution
steps

Step by step

Solved in 6 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY