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Part B please

Part B please

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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Part B please
Question The two uniform thin discs shown in the figure rest on a horizontal plane and are connected through frictionless pin-joints at A and B by a rigid light rod which remains horizontal. The mass of disc A is 15 kg. and that of disc B is 25 kg. The static coefficients of friction between the plane and discs A and B are, respectively, (,),= 0.2 and (u), = 0.55. At the instant shown, a counter-clockwise moment T = 125 Nm. is applied to disc B. You are required to, (a) identify the type of ensuing motion of the discs, (b) draw the free-body, kinematic and kinetic diagrams of the discs, (c) assuming motion initiates with pure rolling, write down the appropriate kinematic and kinetic relationships with respect to a suitable global axes system, and (d) determine, in magnitude and direction, the angular accelerations of the discs and force developed in the rod AB at the instant the moment T is applied. (e) Validate the pure rolling assumption in part(c) and if slipping is anticipated, explain with supporting arguments, whether one of the discs will first slip, or both discs will slip at the same time. You must clearly show details of the analysis that you have carried out using relationships in part (c) to arrive at subsequent results in a neat, logical way. 0.45 m 60⁰ 0.6 m 3 0.45 m 60° 0.6 m
Transcribed Image Text:Question The two uniform thin discs shown in the figure rest on a horizontal plane and are connected through frictionless pin-joints at A and B by a rigid light rod which remains horizontal. The mass of disc A is 15 kg. and that of disc B is 25 kg. The static coefficients of friction between the plane and discs A and B are, respectively, (,),= 0.2 and (u), = 0.55. At the instant shown, a counter-clockwise moment T = 125 Nm. is applied to disc B. You are required to, (a) identify the type of ensuing motion of the discs, (b) draw the free-body, kinematic and kinetic diagrams of the discs, (c) assuming motion initiates with pure rolling, write down the appropriate kinematic and kinetic relationships with respect to a suitable global axes system, and (d) determine, in magnitude and direction, the angular accelerations of the discs and force developed in the rod AB at the instant the moment T is applied. (e) Validate the pure rolling assumption in part(c) and if slipping is anticipated, explain with supporting arguments, whether one of the discs will first slip, or both discs will slip at the same time. You must clearly show details of the analysis that you have carried out using relationships in part (c) to arrive at subsequent results in a neat, logical way. 0.45 m 60⁰ 0.6 m 3 0.45 m 60° 0.6 m
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