The diagram below shows a solid uniform cylinder of radius R and mass M rolling (without slipping) down an inclined plane ofincline angle 0. A thread wraps around the cylinder as it rolls down the plane and pulls upward on a block of mass m. Ignore therotational inertia of the pulley.Mт What is the relationship between the magnitude of the acceleration of the block and the linear acceleration of thecylinder?(c)(d)What is the acceleration of the cylinder?(e)What is the acceleration of the block?

(c) Draw free-body diagrams of an uniform cylinder and a block.

What is the relationship between the magnitude of the acceleration of the block and the linear acceleration of the cylinder? (c) (d) What is the acceleration of the cylinder? (e) What is the acceleration of the block?

What is the relationship between the magnitude of the acceleration of the block and the linear acceleration of the cylinder? (c) (d) What is the acceleration of the cylinder? (e) What is the acceleration of the block?

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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Question

The diagram below shows a solid uniform cylinder of radius R and mass M rolling (without slipping) down an inclined plane of
incline angle 0. A thread wraps around the cylinder as it rolls down the plane and pulls upward on a block of mass m. Ignore the
rotational inertia of the pulley.
M
т

What is the relationship between the magnitude of the acceleration of the block and the linear acceleration of the
cylinder?
(c)
(d)
What is the acceleration of the cylinder?
(e)
What is the acceleration of the block?

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