GATE ME 2014 Set 3 — Question 48
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Theory of Machines & Vibrations → Mechanisms & Linkages → Four-Bar & Slider-Crank
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Question
A slider-crank mechanism with crank radius 60 mm and connecting rod length 240 mm is shown in figure. The crank is rotating with a uniform angular speed of 10 rad/s, counter clockwise. For the given configuration, the speed (in m/s) of the slider is _______
Correct answer
0.54 to 0.68
Solution
In the figure the crank is perpendicular to the connecting rod (the is marked between crank and rod), with the slider on the line through the crank pivot.Crank-pin velocity. m/s, perpendicular to the crank, i.e. directed along the connecting rod.Rod angle. Crank pin, crank centre and slider form a right triangle with legs and mm, so the rod makes angle with the line of stroke whereRigid-rod condition. The velocity components of both ends of the rod along the rod must be equal. The crank pin's whole velocity ( m/s) is along the rod, and the slider moves along the line of stroke, soAnswer: 0.62 m/s (accepted range 0.54 to 0.68)
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