A thin plank of mass M is placed centrally across two solid cylindrical rollers each of mass m, and the system is allowed to move freely from rest without slip down a slope of angle as shown in the figure below. (a) Derive expressions for the initial accelerations of the plank and the roller. Your solution should include the following in a systematic way: (i) Identification of the types of ensuing motions of the plank and the rollers, (ii) free-body, kinematic and kinetic diagrams with an appropriate global axes system clearly shown, + +

A thin plank of mass M is placed centrally across two solid cylindrical rollers each of mass m, and the system is allowed to move freely from rest without slip down a slope of angle as shown in the figure below. (a) Derive expressions for the initial accelerations of the plank and the roller. Your solution should include the following in a systematic way: (i) Identification of the types of ensuing motions of the plank and the rollers, (ii) free-body, kinematic and kinetic diagrams with an appropriate global axes system clearly shown, + +

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

A thin plank of mass M is placed centrally across two solid cylindrical rollers each
of mass m, and the system is allowed to move freely from rest without slip down a
slope of angle as shown in the figure below.
(a) Derive expressions for the initial accelerations of the plank and the roller.
Your solution should include the following in a systematic way:
(i) Identification of the types of ensuing motions of the plank and
the rollers,
(ii) free-body, kinematic and kinetic diagrams with an appropriate
global axes system clearly shown,
+
+

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Question A thin plank of mass M is placed centrally across two solid cylindrical rollers each of mass m, and the system is allowed to move freely from rest without slip down slope of angle 9 as shown in the figure below. (a) Derive expressions for the initial accelerations of the plank and the roller. Your solution should include the following in a systematic way: (i) Identification of the types of ensuing motions of the plank and the rollers, (ii) free-body, kinematic and kinetic diagrams with an appropriate global axes system clearly shown, (iii) statements of relevant kinematic and kinetic relationships with reference to your chosen global axes system in (ii), and +
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