$16-90$ The $1\mathrm{.}5-kg$ cylinder $AB$ has a diameter of $50$ mm and a length of

$200$ mm $.$ It is mounted on a thin circular disk

having a radius of $400$ mm and a mass of $0\mathrm{.}5$ kg $.$

The distance between the axis of the cylinder

and the axis of the shaft is $300$ mm $.$ If the

shaft is rotating at a constant rate of $180$

rev$/$min$,$ determine the bearing reaction when

the cylinder is aligned with the $y-$axis as

shown. Assume that the mass of the vertical

shaft may be neglected.