A rotational mechanical system with two gears shown in the following figure is subjected to a driving torque T, where the number of the gears N - 50 and N = 100, 0 is the rotational angle of spring. Assume the rotating angle of damper is the same as the shaft (angular difference between two ends of the damper is neglected). (a) List out the system equations; (b) Obtain the transfer function 0/T; (c) Identify the gain constant. shaft 1 J=1kg-m B=1N-m-s/rad N2=100 X(s) P{(s) N1=50 1 (RCS + 1) H e Q2. Figure 3 shows a pneumatic system. p, is the input pressure, x is the output displacement. Transfer function of the system is given as follow: K=4N-m/rad If capacitance C-2 m, resistance R-0.5 sec/m, cross session area A- 1.5 m, and k-50 N/m, obtain the total system response under step input p = 4.