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, 0 + XCORETTE

Elements Of Electromagnetics
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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 8 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,
0
+
+
Transcribed Image Text: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 8 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, 0 + +
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