Finding the centroid of a composite shape from point O

[physicx_1]

Homework Statement

CALCULATE POSITIONS OF THE CENTROID OF THE SHAPE SHOWN BELOW

GIVE DIMENSIONS FROM POINT O ALONG THE HORIZONTAL X-DIRECTION, AND THE VERTICAL Y-DIRECTION.
[PLAIN]http://img402.imageshack.us/img402/738/unledgj.jpg

Homework Equations

The Attempt at a Solution

I know you have to find the middle of the distances in the symmetry. does the c of g line somewhere in the center line of the diagram?

I'm really stuck, please help

 

[SteamKing]

Hint: Try breaking up this complicated shape into several simpler ones.

 

[physicx_1]

Hint: Try breaking up this complicated shape into several simpler ones.

but once i do that, and find the c of g of those shapes, how do i relate them together?

 

[physicx_1]

can anyone help?

I know to break into simpler shapes. and I did. however there are some irregular shapes even if I was to break them into smaller ones. what do I do to deal with those?

 

[SteamKing]

Once you have broken the larger figure into smaller pieces, set up a table where you calculate the area of each smaller piece and determine the c.g. of each of the pieces using point O as the reference. Calculate the moment of area of each of the pieces. Add up the areas and moments. Find the total area and c.g. of the larger figure.