B-3-2. Obtain mathematical models of the mechanical sys- tems shown in Figures 3-31(a) and (b). x (Output) k u(t) ww m (Input force) No friction (a) x (Output) k1 k2 u(t) ww m (Input force) No friction Figure 3-31 Mechanical systems. (b) B-3-3. Obtain a state-space representation of the mechan- ical system shown in Figure 3-32, where u₁ and u₂ are the inputs and y₁ and y2 are the outputs. k1 սլ m1 y1 Y b₁ 12 www m2 k2 y2 Figure 3-32 Mechanical system. B-3-6. Obtain the transfer functions ✗₁(s)/U(s) and X2(s)/U(s) of the mechanical system shown in Figure 3-35. น x1 x2 k₁ k2 www m1 k3 w www m2 中 b2 b1 Figure 3-35 Mechanical system. B-3-7 Write a differential equation for the system shown in Figure K K₂ Ta(l)