Consider the system shown in Figure 5.70, in which a lever arm has a springdamper combination on the other side. When \(\theta=0\), the system is in static equilibrium.

a. Assuming that the lever arm can be approximated as a uniform slender rod, determine the mass moment of inertia of the rod about point \(\mathrm{O}\).

b. Draw the necessary free-body diagram and derive the differential equation of motion for small angles \(\theta\).

Transcribed Image Text:

FIGURE 5.70 Problem 12. L/4 M, L