Q1(a) A second-order measurement device has a time constant (T) of 0.4 s, damping coefficient () of 1 and static sensitivity (K) of 2. Construct the equation of the output response in s- and t-domain for a given unit step input change. (4 marks) (b) With the aid of a diagram, illustrate the effect of the time constant, damping coefficient and static sensitivity on the output responses of a second-order measurement device. (6 marks) (c) Explain the differences between a first-order and critically damped second- order output responses for a unit step input change, given the magnitude of time constant (T) and static sensitivity (K) are similar for both the output responses