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Q.1 In the mechanism depicted in Figure Q1 the upper end, A, of a vertical rod is attached to fixed bearings that allow it to rotate in the vertical, yz, plane at angular velocity ω1 = 4 rad s^-1 . At the lower end of this rod a bearing B can rotate about it at angular velocity ω2 = 6 rad s^-1 . Also attached to this bearing is another rod currently aligned parallel to the horizontal, y, direction. A collar, C, is sliding towards the free end, D, of this other rod at 3 ms^-1 .   Determine, at the instant shown:-   (a) the linear velocity of the collar,   (b) the linear acceleration of the collar.

Q.1 In the mechanism depicted in Figure Q1 the upper end, A, of a vertical rod is attached to fixed bearings that allow it to rotate in the vertical, yz, plane at angular velocity ω1 = 4 rad s^-1 . At the lower end of this rod a bearing B can rotate about it at angular velocity ω2 = 6 rad s^-1 . Also attached to this bearing is another rod currently aligned parallel to the horizontal, y, direction. A collar, C, is sliding towards the free end, D, of this other rod at 3 ms^-1 .   Determine, at the instant shown:-   (a) the linear velocity of the collar,   (b) the linear acceleration of the collar.

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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Q.1 In the mechanism depicted in Figure Q1 the upper end, A, of a vertical rod is attached to fixed bearings that allow it to rotate in the vertical, yz, plane at angular velocity ω1 = 4 rad s^-1 . At the lower end of this rod a bearing B can rotate about it at angular velocity ω2 = 6 rad s^-1 . Also attached to this bearing is another rod currently aligned parallel to the horizontal, y, direction. A collar, C, is sliding towards the free end, D, of this other rod at 3 ms^-1 .

 

Determine, at the instant shown:-

 

(a) the linear velocity of the collar,

 

(b) the linear acceleration of the collar. 

001 = 4 rad s.¹ X co, = 6 rad s 0.5m 0.2m Figure Q1 3 ms
Transcribed Image Text:001 = 4 rad s.¹ X co, = 6 rad s 0.5m 0.2m Figure Q1 3 ms
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