Fig.3.30 depicts the structure of Whitworth quick return mechanism used in reciprocating machine tools. The various dimensions

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Fig.3.30 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:

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\[ O Q=120 \mathrm{~mm}, O P=240 \mathrm{~mm}, R Q=180 \mathrm{~mm} \text {, and } R S=600 \mathrm{~mm} \text {. } \]
Crank \(O P\) makes an angle of \(60^{\circ}\) with the vertical. Determine the velocity of the slider \(S\) (cutting tool) when crank rotates at \(120 \mathrm{rpm}\) clockwise. Find also the angular velocity of the link \(R S\) and the velocity of the sliding block on the slotted lever \(Q T\).

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