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What is the practical significance of evaluating velocity and acceleration of members of mechanisms? Fig depicts the structure of Whitworth quick return mechanism used in reciprocating machine tools. The various dimensions of the mechanism for a specified stroke of the tool are:

OQ = 12 cm, OP = 24cm, RQ = 18 cm, and RS = 60 cm.  Crank OP marks an angle of 60 degrees with the vertical.  Determine the velocity of the slider S (cutting tool) when the crank rotates at 120 r.p.m clockwise.  Find also the angular velocity of the link RS and the velocity of the sliding block T on the slotted lever QT.  

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