Q$2$: In the figure, $2$ three uniform thin rods, each of length $L=22cm,$ form an inverted $U.$ The vertical rods each have a mass of $14$ g ; the horizontal rod has a mass of $42$ g $.$ What are:

$($a$)$ the $x-$coordinate, and

$($b$)$ the $y-$coordinate

of the center of mass for the uniform plate shown in the figure.