GATE 2017 ME (ME2) – Question 40

Theory of Machines · Displacement, velocity and acceleration analysis of plane mechanisms · 2 marks · Numerical answer

Block 2 slides outward on link 1 at uniform speed 6 m/s as shown. Link 1 rotates counterclockwise at constant 20 rad/s. The magnitude of total acceleration of point P relative to fixed O is ______ m/s².

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Correct answer: 243 to 244

Explanation

With constant radial speed6m/s, radial relative acceleration is zero. At radius0.1m and angular speed20rad/s, centripetal acceleration isω²r=40m/s² and Coriolis acceleration is2ωv=240m/s². These components are perpendicular, so total magnitude is√(40²+240²)=**243.31m/s²**.