Consider a system with transfer function h(s) = s +5 s2 +5s +6 find the (zero-state) response for the following inputs: (a) xa(t) = e−3t u(t) (b) xb(t) = e−4t u(t) (c) xc(t) = e−4(t−5) u(t −5) (d) xd(t) = e−4(t−5) u(t) (e) xe(t) = e−4t u(t −5) assuming that the system h(s) is controllable and observable, (f) write the differential equation relating the output y(t) to the input x(t)

Aplate clutch has a single pair of mating friction surfaces 250-mm od by 175-mm id. the mean value of the coefficient of friction is 0.30, and the actuating force is 4 kn. a) find the maximum pressure and the torque capacity using the uniform-wear model. b) find the maximum pressure and the torque capacity using the uniform-pressure model.

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.

Apiston-cylinder device contains 0.1 m3 of liquid water and 0.9 m3 of water vapor in equilibrium at 800 kpa. heat is transferred at constant pressure until the temperature of water reaches 350 °c. determine (a) the quality of water at the initial state (b) the work associated with this process, (c) the heat associated with this process.