Suppose you are given an Op Amp and 20 resistors, each with resistance R. Assuming ideal Op-Amp behavior, design a circuit which, given input voltages v1, v2, v3, and v4, will deliver a voltage vo, given by vo = 2v1 + 4v2 -2v3-4v4 to a load resistor RL.

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.