Question: Repeat Problem 6 for the system shown in Figure 5.43. Data From Problem 6: a. Draw the necessary free-body diagram and derive the differential equation

Repeat Problem 6 for the system shown in Figure 5.43.

k = 400 N/m FIGURE 5.43 Problem 7. b=125 Ns/m k=400 N/m

Data From Problem 6:

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

b. Determine the transfer function. Assume zero initial conditions.

c. Determine the state-space representation.

d. Find the transfer function from the state-space form and compare with the result obtained in Part (b).

k = 400 N/m FIGURE 5.43 Problem 7. b=125 Ns/m k=400 N/m m 20 kg b 125 Ns/m

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