The pumping unit is used to recover oil. When the walking beam ABCABC is horizontal, the force acting in the wireline at the well head is FCFC = 250 lb. lb. Determine the torque MM which must be exerted by the motor in order to overcome this load. The horse-head CC weighs 61 lblb and has a center of gravity at GCGC. The walking beam ABCABC has a weight of 130 lblb and a center of gravity at GBGB, and the counterweight has a weight of 225 lblb and a center of gravity at GWGW. The pitman, ADAD, is pin connected at its ends and has negligible weight.

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj