(e) Explain the operation of the ladder logic in Figure Q1 (e). Implement an alternative ladder logic method to achieve the same functionality. MB000 X000 DO K20 Overshoot Settling Time [ADDP m DO Figure Q1 (e) (f) Explain, with the aid of a diagram, the following performance measurements for second order control system models: i. Rise Time ii. iii. dx dt DO (5 marks) (5 marks) * (g) A first-order system has a time constant of 4 seconds and a steady-state transfer function of 6. What is the form of the differential equation for this system and its solution? dx +c+kx=F dt (YODO (5 marks) * (h) With the aid of diagrams, explain what you understand by the terms 'damping' and 'damping ratio (2)' with regard to a second order control system (mass- spring-damper) subjected to a step input F, as described by the following differential equation. How is calculated in terms of m, c and k values?