Question: Consider a crane moving in the x direction while the mass m moves in the z direction, as shown in Figure AP3.6. The trolley motor

Consider a crane moving in the x direction while the mass m moves in the z direction, as shown in Figure AP3.6. The trolley motor and the hoist motor are very powerful with respect to the mass of the trolley, the hoist wire, and the load m. Consider the input control variables as the distances D(t) and R(t). Also assume that u1t2 6 50. Determine a linear model, and describe the state variable differential equation.

0 D(t) x R(t) T- B(1) 14 m mg FIGURE AP3.6 A

0 D(t) x R(t) T- B(1) 14 m mg FIGURE AP3.6 A crane moving in the x-direction while the mass moves in the z-direction.

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