For the system shown in Figure P1.10, the angular displacement of the thin disk is given by (theta(t)=0.03 sin left(30 t+frac{pi}{4} ight)) rad. The disk

For the system shown in Figure P1.10, the angular displacement of the thin disk is given by \(\theta(t)=0.03 \sin \left(30 t+\frac{\pi}{4}\right)\) rad. The disk rolls without slipping on the surface. Determine the following as functions of time.

(a) The acceleration of the center of the disk.

(b) The acceleration of the point of contact between the disk and the surface.

(c) The angular acceleration of the bar.

(d) The vertical displacement of the block.

FIGURE P1.10 Thin disk of radius 10 cm e(t) = 0.03 sin(30t+ Rigid link 30 cm Rigid link 20 cm