Consider the system comprised of the disk, pulley, and block shown in Figure 5.27. The spring is connected to the disk of mass \(M\) at its mass center. The disk has radius \(r\) and mass moment of inertia \(I_{G}\) about its mass center. A cable is connected to and wrapped around the disk and connected to the block of mass \(m\). Assume that the pulley is massless and that the disk rolls without slip.

(a) Find the static equilibrium position of the system using the principle of virtual work, and

(b) derive the equation of motion of the system using d'Alembert's principle.

Transcribed Image Text:

www M. r. IG x m Figure 5.27: Spring-disk-pulley mass system.