Mill that is composed of three main parts:
1. The vertical shaft S, which rotates at a constant angular speed.
2. The slanted shaft of length L, which is pinned to S and turns with it.
3. The grinder of radius r, turning in bearings at C about O, and rolling on the inner surface of 3.
As shaft S gets up to speed, the body swings outward, and then the angle θ remains constant during operation. Treat the grinder as a disk and find its angular momentum vector Hc in convenient coordinates. (A suggested set is shown.)
In the preceding problem, note that point O is a fixed point of all three bodies S, L, and 3. Compute the angular momentum Ho of O, and verify that Ho = Hc + roc × L.
Figure P7.5
PLEASE NOTE THAT BOTH 7.5 AND 7.6 ARE ASSIGNED.