Question: For the three-cart system illustrated in Figure AP2.5, obtain the equations of motion. The system has three inputs u1, u2, and u3 and three outputs

For the three-cart system illustrated in Figure AP2.5, obtain the equations of motion. The system has three inputs u1, u2, and u3 and three outputs x1, x2, and x3. Obtain three second-order ordinary differential equations with constant coefficients. If possible, write the equations of motion in matrix form.

42 ka M3 b2 FIGURE AP2.5 three outputs. Three-cart system with three inputs and

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