Problem #$2[29$ pts$].$ Determine $($a$)$ the $x-$component of the centroid of the object shown as well as $($b$)$ its moment of inertia about the $y-$axis, which is located at the centroid of the ring. The ring has an inner radius of $2ft$ and an outer radius of $3\mathrm{.}5ft.$

$($a$)x_{\text{b}\text{a}\text{r}}=$

$($b$)I_y=$