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 \(D E=600 \mathrm{~mm}\).

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 \(F\).

30% 300 mm B -Bell crank lever 600 mm 100 mm 10 0,C VDC, b be (c) Velocity diagram A (a) Configuration diagram B (b) Angular velocity w