$2.$

a$)$ Determine the $\text{'}$y$\text{'}$ location of the overall centroid with respect to the shown origin in the bottom left corner. $$Report your answer for the y$-$distance in mm$.$

b$)$ Determine Ix$,$ the moment of inertia about the x$-$centroidal axis for the shown shape.$$

c$)$ Determine Iy$,$ the moment of inertia about the y$-$centroidal axis for the shown shape.