Question

Area moment of inertia

Answer 1

First I'll find centroid

Answer 2

The question was "Vertical location of the centroid (y coordinate), with respect to the bottom edge of the cross
section."

Answer 3

The ring has a centriod at the center 3 inches from top
The vertical section has it at 9 inches form the top
The horizontal section has it at 13 inches from the top

now you can model these as point masses and calculate the center of mass right?

Answer 4

This is not that simple X(bar)=Y(bar)= 4R/3pi

Answer 5

\[Y=\frac{ \sum_{}^{} Ai Yi}{ A }\]