Find the transfer functions for the following circuits (10 points / circuit) assuming ideal op amps. write your transfer function in terms of the variables r1, r2, c1, and c2 (i. e., do not use the numeric values) (b) calculate the locations of poles and zeros for the circuit (10 points / circuit). give both analytic expressions in terms of r1, r2, c1, and c2 as well as numeric values. (c) determine whether the circuit is likely to be stable or unstable (5 points / circuit) assuming the numeric values given for r1, r2, c1, and c2.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Give heat transfer applications for the following, (i) gas turbines (propulsion) ) gas turbines (power generation). (iii) steam turbines. (iv) combined heat and power (chp). (v) automotive engines

Calculate the bore of a cylinder that has a stroke of 18 inches and an extension time of 6 seconds at a flow rate of 4 gal/min.