The double pulley system shown in Figure 5.89 has an inner radius of \(r_{1}\) and an outer radius of \(r_{2}\). The mass moment of inertia of the pulley about point \(\mathrm{O}\) is \(I_{\mathrm{O}}\). A translational spring of stiffness \(k\) and a block of mass \(m\) are suspended by cables wrapped around the pulley, as shown. Draw the free-body diagram and kinematic diagram, and derive the equation of motion by using the force/moment approach.

Transcribed Image Text:

FIGURE 5.89 Problem 2. m elle