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.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter1: Heat, Temperature, And Pressure
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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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