An engine crankshaft drives a reciprocating pump through a mechanism, as shown in Fig.2.22(a). The crank (O

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An engine crankshaft drives a reciprocating pump through a mechanism, as shown in Fig.2.22(a). The crank \(O A\) rotates in the counter-clockwise direction at \(150 \mathrm{rpm}\). The diameter of the pump piston at \(F\) is \(180 \mathrm{~mm}\) and \(O A=175 \mathrm{~mm}, A B=650 \mathrm{~mm}, C D=160 \mathrm{~mm}\), and \(D E=600 \mathrm{~mm}\).

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Determine

(a) the velocity of cross head \(E\),

(b) the rubbing velocities at pins \(A, B, C\), and \(D\) having diameters of \(40 \mathrm{~mm}\) each, and

(c) the torque required at the crank to overcome a pressure of \(0.35 \mathrm{MPa}\) at the pump piston at \(F\).

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