GATE 2018 ME (ME1) – Question 30

Theory of Machines · Displacement, velocity and acceleration analysis of plane mechanisms · 1 mark · Numerical answer

A four-bar mechanism has link lengths 100, 200, 300 and 350 mm. With the 350 mm link fixed, the number of links able to rotate fully is ______.

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Correct answer: 1 to 1

Explanation

Grashof condition holds: shortest plus longest is $100+350=450<200+300=500$ mm. With the longest link fixed in the specified crank–rocker assembly, one moving link rotates fully. Answer 1.