A $107kg$ horizontal platform is a uniform disk of radius $1\mathrm{.}65m$ and can rotate about the vertical axis through its center. A

$67\mathrm{.}9kg$ person stands on the platform at a distance of $1\mathrm{.}17m$ from the center, and a $26\mathrm{.}1kg$ dog sits on the platform near the

person $1\mathrm{.}33m$ from the center.

Determine the moment of inertia I of the system the disk and

its passengers with respect to the disk's rotation axis.

$I=$

$kg*m^2$