A $88\mathrm{.}7$ kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of $1\mathrm{.}71ra\frac{d}{s}.$ A monkey drops a $9\mathrm{.}67$ kg bunch of bananas vertically onto the platform. They hit the platform at $\frac{4}{5}$ of its radius from the center, adhere to it there, and continue to rotate with it$.$ Then the monkey, with a mass of $21\mathrm{.}3$ kg $,$ drops vertically to the edge of the platform, grasps it$,$ and continues to rotate with the platform.

Model the platform as a disk of radius $1\mathrm{.}79$ m $.$

Find the angular speed $$ of the platform with its load.

$=$

$ra\frac{d}{s}$