Consider the pendulum system shown in Figure 5.65. The system consists of a bob of mass \(m\) and a uniform rod of mass \(M\) and length \(L\). The pendulum pivots at the joint \(\mathrm{O}\). Draw the necessary free-body diagram and derive the differential equation of motion. Assume small angles for \(\theta\).

Transcribed Image Text:

FIGURE 5.65 Problem 5. M, L m