Question: Repeat Problem 1 for the system shown in Figure 5.41. Data From Problem 1: a. Draw the necessary free-body diagram and derive the differential equation

Repeat Problem 1 for the system shown in Figure 5.41.

FIGURE 5.41 Problem 4. k m b

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.

FIGURE 5.41 Problem 4. k m b

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