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Theory of Machines Miscellaneous

  1. For the configuration shown, the angular velocity of link AB is 10 rad/s counter clockwise. The magnitude of the relative sliding velocity (in ms–1) of slider B with respect to rigid link CD is

    1. 0
    2. 0.86
    3. 1.25
    4. 2.50
Correct Option: D

Given: ωAB = 10 rad/sec (CCW)
AB = 250 mm, BC = 250 √3, AC = 500
Direction of velocity of AB is perpendicular to link AB and direction of velocity of AB is parallel to line CD.
Also, direction of relative velocity of slides B with respect to C is in line with link BC.
∴ VC = 0
But VB = rAB × WAB = 250 × 10 × 10– 3 = 2.5 m/sec
VBC = VB – VC = 2.5 m/sec



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