GATE ME 2015 Set 3 — Question 14
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Theory of Machines & Vibrations → Mechanisms & Linkages → Velocity & Acceleration Analysis
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Question
In the figure, link 2 rotates with constant angular velocity . A slider link 3 moves outwards with a constant relative velocity , where Q is a point on slider 3 and P is a point on link 2. The magnitude and direction of Coriolis component of acceleration is given by
Correct answer
(A) 2 ω₂ V_(Q/P); direction of V_(Q/P) rotated by 90^ in the direction of ω₂
Solution
The Coriolis component of acceleration () for a point moving along a rotating path is given by the formula , where is the angular velocity of the path and is the relative velocity of the point along that path. In this case, the magnitude is . The direction of the Coriolis acceleration is determined by rotating the relative velocity vector () by in the direction of the angular velocity (). Thus, option (A) is correct.
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