For each of the following feedback systems a. Sketch the Root Locus
b. Indicate if there are break-in and/or break-away points, and how many
c. Indicate if there are asymptotes and how many
d. Use hand calculations to compute the break-in/break-away points
e. Use hand calculations to compute the asymptotes
SYSTEMI 1 G(s) = (s2 + 5s + 4)(s2 + 5s +6) H(s) = (s + 0.5)
SYSTEM II G(s) = (s2 – 3s + 2) (52 +3s + 2) H(s) = 1

If the thermal strain developed in polyimide film during deposition is given as 0.0044. assume room temperature is kept at 17.3 c, and thermal coefficient of expansion for the film and the substrate are 54 x 10^-6c^-1 and 3.3 x 10^-6c^-1respectively. calculate the deposition temperature.

Adouble-strand no. 60 roller chain is used to transmit power between a 13-tooth driving sprocket rotating at 300 rev/min and a 52-tooth driven sprocket. a) what is the allowable horsepower of this drive? b) estimate the center-to-center distance if the chain length is 82 pitches. c) estimate the torque and bending force on the driving shaft by the chain if the actual horsepower transmitted is 30 percent less than the corrected (allowable) power.

At 12 noon, the count in a bacteria culture was 400; at 4: 00 pm the count was 1200 let p(t) denote the bacteria cou population growth law. find: (a) an expression for the bacteria count at any time t (b) the bacteria count at 10 am. (c) the time required for the bacteria count to reach 1800.