Consider again the system shown in Figure 2.56, reproduced in Figure 5.26. A disk is on an inclined plane supported by a spring. The coordinates \(x\) and \(\theta\) are zero when the spring is undeformed. The disk has mass moment of inertia \(I_{G}\) about its mass center and has radius \(r\). Assume 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:

k eelle Position of the disk when the spring is unstretched x Figure 5.26: A rolling disk on an incline restrained by a spring.