GATE ME 2014 Set 1 — Question 47
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Theory of Machines & Vibrations → Mechanisms & Linkages → Four-Bar & Slider-Crank
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Question
An offset slider-crank mechanism is shown in the figure at an instant. The crank length is mm, the connecting rod length is mm and the offset of the slider axis from the crank centre is mm. Conventionally, the Quick Return Ratio (QRR) is considered to be greater than one. The value of QRR is _______ 
Correct answer
1.2 to 1.3
Solution
The Quick Return Ratio (QRR) for an offset slider-crank mechanism is given by , where is the angle between the two extreme positions of the crank. The extreme positions occur when the crank and connecting rod are collinear.Let mm be the crank radius, mm be the connecting rod length, and mm be the offset.At the first extreme position (inner dead center), the crank and connecting rod are folded:
At the second extreme position (outer dead center), the crank and connecting rod are extended:
The angle ..Thus, the value of QRR is approximately 1.26, which falls within the range [1.2, 1.3].
At the second extreme position (outer dead center), the crank and connecting rod are extended:
The angle ..Thus, the value of QRR is approximately 1.26, which falls within the range [1.2, 1.3].
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