GATE ME 2014 Set 1 — Question 21
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Engineering Mechanics → Dynamics → Kinematics of Rigid Bodies
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Question
A rigid link PQ is 2 m long and oriented at to the horizontal as shown in the figure. The magnitude and direction of velocity , and the direction of velocity are given. The magnitude of (in m/s) at this instant is
Correct answer
(D) 0.96
Solution
For a rigid link, the components of the velocities of its two endpoints along the line joining them must be equal.
Given:
Given:
- Link PQ is at to the horizontal.
- is horizontal, so the angle between and the link PQ is .
- m/s is at to the horizontal (as inferred from the diagram's reference line), so the angle between and the link PQ is .
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