Question: 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

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 \(\theta\).

FIGURE 5.65 Problem 5. M, L m

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