For the system shown in Figure 5.46, the input is the force \(f\) and the outputs are the displacements \(x_{1}\) and \(x_{2}\) of the masses.

a. Draw the necessary free-body diagrams and derive the differential equations of motion.

b. Write the differential equations of motion in the second-order matrix form.

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

Transcribed Image Text:

FIGURE 5.46 Problem 10. Fence 1911 7x; elle ki PRA 7x2