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GATE 2017 ME (ME2) – Question 22

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

A slider–crank has crank and connecting-rod lengths 100 and 160 mm. The crank rotates counterclockwise at 10 rad/s. The piston-speed magnitude in the configuration shown is ______ m/s.

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Correct answer: 0.99 to 1.01

Explanation

Crank-pin speed is rω=0.1·10=1m/s and is horizontal at this instant. The piston also moves horizontally. The rigid connecting rod requires their relative velocity to have zero projection along the rod; since its horizontal projection is nonzero, the two horizontal velocities must be equal. Hence piston speed is **1m/s**.