QUESTION 3 (8 marks) Two cars with negligible rolling friction are connected as shown in Figure...

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QUESTION 3 (8 marks) Two cars with negligible rolling friction are connected as shown in Figure 3. An input force u(t) is applied to car 2. The masses of the two cars are denoted as M1, M2, and their displacements are denoted as y(t) and y2(t), respectively. Two cars are connected by a spring k and a damper b. y(t) and y2(t) are the outputs of the system. Derive a suitable state-space model for this system. Show full details of your working out. [SEE701] [Advanced Control Systems Engineering] [Assessment task 1] y(1) Y2(1) u(t) M M b Figure 3 Trimester 1, 2023 QUESTION 3 (8 marks) Two cars with negligible rolling friction are connected as shown in Figure 3. An input force u(t) is applied to car 2. The masses of the two cars are denoted as M1, M2, and their displacements are denoted as y(t) and y2(t), respectively. Two cars are connected by a spring k and a damper b. y(t) and y2(t) are the outputs of the system. Derive a suitable state-space model for this system. Show full details of your working out. [SEE701] [Advanced Control Systems Engineering] [Assessment task 1] y(1) Y2(1) u(t) M M b Figure 3 Trimester 1, 2023