Repeat Problem 1 for the system shown in Figure 5.40. Data From Problem 1: a. Draw the

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Repeat Problem 1 for the system shown in Figure 5.40.

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Data From Problem 1:

a. Draw the necessary free-body diagram and derive the differential equation of motion.

b. Using the differential equation obtained in Part (a), determine the transfer function. Assume that initial conditions are \(x(0)=0\) and \(\dot{x}(0)=0\).

c. Using the differential equation obtained in Part (a), determine the state-space representation.

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