4. A solid disc of mass 6.5 kg and radius 0.5 m rests on a 2.25 kg trolley. A light cord is wrapped around the periphery of the disc and attached to the wall at B as shown in Figure Q4. A torque MG = 55 Nm. is applied to the disc which rolls on the trolley without slip. Assuming the whole system starts from rest, (a) Identify the types of ensuing motions of the disc and the trolley, (b) set up a global reference axes system and draw the free-body, kinematic and kinetic diagrams of the system clearly showing all the kinematic and kinetic parameters, (c) develop, in readily usable format, the relevant kinetic and kinematic relationships with respect to the global axes system, and (d) determine the ensuing angular acceleration of the disc and the linear acceleration of the trolley, and the time needed for the end C of the trolley to travel 1 m and strike the wall.

4. A solid disc of mass 6.5 kg and radius 0.5 m rests on a 2.25 kg trolley. A light cord is wrapped around the periphery of the disc and attached to the wall at B as shown in Figure Q4. A torque MG = 55 Nm. is applied to the disc which rolls on the trolley without slip. Assuming the whole system starts from rest, (a) Identify the types of ensuing motions of the disc and the trolley, (b) set up a global reference axes system and draw the free-body, kinematic and kinetic diagrams of the system clearly showing all the kinematic and kinetic parameters, (c) develop, in readily usable format, the relevant kinetic and kinematic relationships with respect to the global axes system, and (d) determine the ensuing angular acceleration of the disc and the linear acceleration of the trolley, and the time needed for the end C of the trolley to travel 1 m and strike the wall.

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

4. A solid disc of mass 6.5 kg and radius 0.5 m rests on a 2.25 kg trolley. A light
cord is wrapped around the periphery of the disc and attached to the wall at B as
shown in Figure Q4. A torque MG = 55 Nm. is applied to the disc which rolls on the
trolley without slip. Assuming the whole system starts from rest,
(a) Identify the types of ensuing motions of the disc and the trolley,
(b) set up a global reference axes system and draw the free-body, kinematic and
kinetic diagrams of the system clearly showing all the kinematic and kinetic
parameters,
(c) develop, in readily usable format, the relevant kinetic and kinematic relationships
with respect to the global axes system, and
(d) determine the ensuing angular acceleration of the disc and the linear acceleration
of the trolley, and the time needed for the end C of the trolley to travel 1 m and strike
the wall.
Ma
-0.5 m
rigid surface
1 m-
B

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