GATE ME 2019 Set 1 — Question 40
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Theory of Machines & Vibrations → Mechanisms & Linkages → Four-Bar & Slider-Crank
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Question
In a four bar planar mechanism shown in the figure, , and . In the configuration shown, both and are perpendicular to . The bar rotates with an angular velocity of . The magnitude of angular velocity (in rad/s) of bar at this instant is
Correct answer
(D) 25
Solution
Using the property of instantaneous centers for a four-bar mechanism: .
Let be the origin . Then is , is , and is .
is at and is at .
is the intersection of the fixed link and the coupler link .
The line is .
The line passes through and . Its equation is .
Intersection occurs at .
Distance .
Distance .
Applying the formula: .
Let be the origin . Then is , is , and is .
is at and is at .
is the intersection of the fixed link and the coupler link .
The line is .
The line passes through and . Its equation is .
Intersection occurs at .
Distance .
Distance .
Applying the formula: .
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