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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?

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
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
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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?
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