\frac{V(s)}{e(s)}=K_{p}+K_{d} s A control law has the following TF: The control input (u (volts)) is sent to a hydraulic actuator with a DC gain of K1 (N/volt)and a time constant

of t. The hydraulic actuator is then applied to the following system: a) What is v(t) as a function of e(t) b) TF for the hydraulic actuator c) TF for the mechanical system (assuming small angles) d) Block diagram schematic of the system e) Sketch the Bode Diagram for each TF f) Determine the combined TF (from e to o) and sketch its bode diagram g) Calculate the gain and phase at oo for part f