Sketch the root locus for the closed-loop systems with forward-path transfer function given below. Just do a quick sketch, no need to calculate break-in/break-out point(s) or exact imaginary axis crossing point.(a)G(s) =K(s+ 2)(s+ 6)s2+ 8s+ 25(b)G(s) =K(s2+ 4)s2+ 1(c)G(s) =K(s2+ 1)s2(d)G(s) =K(s+ 1)3(s+ 4)

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An air compression refrigeration system is to have an air pressure of 100 psia in the brine tank and an allowable air temperature increase of 60°f for standard vapor compression cycle temperatures of 77 f entering the expansion cylinder and 14 f entering the compression cylinder, calculate the coefficient of performance a. 2.5 b 3.3 c. 4.0 d. 5.0

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.