Repeat Problem 1 for the system shown in Figure 5.62.

Data From Problem 1:

Consider the rotational system shown in Figure 5.61. The system consists of a massless shaft and a uniform thin disk of mass \(m\) and radius \(r\). The disk is constrained to rotate about a fixed longitudinal axis along the shaft. The shaft is equivalent to a torsional spring of stiffness \(K\) connected in parallel with a torsional viscous damper of damping coefficient \(B\). Draw the necessary free-body diagram and derive the differential equation of motion.

FIGURE 5.62 Problem 2. K, B K, B