GATE ME 2017 Set 2 — Question 12
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Theory of Machines & Vibrations → Mechanisms & Linkages → Velocity & Acceleration Analysis
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Question
In a slider-crank mechanism, the lengths of the crank and the connecting rod are and , respectively. The crank is rotating with an angular velocity of counter-clockwise. The magnitude of linear velocity (in m/s) of the piston at the instant corresponding to the configuration shown in the figure is ________
Correct answer
0.99 to 1.01
Solution
Given:
Crank length
Connecting rod length
Angular velocity From the figure, the crank is at an angle with the line of stroke .
The velocity of the piston () in a slider-crank mechanism is given by:where .At :Substituting these values:The magnitude of linear velocity of the piston is .
Crank length
Connecting rod length
Angular velocity From the figure, the crank is at an angle with the line of stroke .
The velocity of the piston () in a slider-crank mechanism is given by:where .At :Substituting these values:The magnitude of linear velocity of the piston is .
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