Consider a unity feedback system where the open-loop transfer function is given by kg(s)h(-, (sa ros)- and k(s+z) is contributed by a pd controller. assume that the parameter α is determined mathematically to be 1 1) sketch the root locus for z = α = 1 . determine the range of k for which the system is stable. 2) if the actual parameter α is 1 .5 instead, sketch qualitatively the "actual" root locus 3) explain why one should not cancel an unstable open-loop pole (ie, choose z =-a ) in designing a controller

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.

The proportional limit is always greater than the yield strength for a material. a)-trune b)- false

The power source in a certain welding setup generates 3500w that is transferred to the low carbon steel work with a heat transfer factor of 0.85. the melting factor in the operation is 0.45. a continuous fillet weld is to be made with a cross-sectional area of 23 mm2 determine the travel speed at which the welding can be accomplished.