The centre of mass of a fork

[wambam]

1. The problem statement, all variables and given/known data
Refer to attachments, this question is insane.


2. Relevant equations
Yet to determine how to break down the fork and which equations to apply


3. The attempt at a solution
I have tried to break down the fork into rectangles and triangles, any suggestions about how to approach this problem? The changing thickness allows poses some confusion for me!

[Mindscrape]

Hah, at least the fork has symmetry on one axis. I don't know, I imagine you can get away with a bunch of approximations. For example you could make the top part of the fork rectangular, and the connecting part like a board at an angle.