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## Homework Statement

Find the x- and y-coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of plywood with the upper right quadrant removed as shown in the figure below. The dimensions of the cutout are a = 4.30 ft and b = 1.70 ft.

I found:

xA= 3.7/2 cm

xB=3.7+(4.3/2) cm

Ya=2 cm

Yb=2.3/2 cm

Ycm (Y-coordinates)= 1.689 cm

## Homework Equations

xcm=maxa+mbxb/ma+mb

ycm=maya+mbyb/ma+mb

ma=(mu)A

mb=(mu)B

m=ma+mb

mass of a= area of A/total area

mass of b= area of B/total area

## The Attempt at a Solution

I know the basic steps:

I first 'split' the plywood into two:

A (area: 4 * 3.7 cm^2)

and

B (area: 3.7 * 2.3 cm^2)

I find the centers of gravity of both A and B, and want to find what is the intermediate center of gravity of the whole piece. As I've said before, I've found the y-coordinate of the center of gravity, but somehow miscalculated the x-coordinate.

I've got the y-coordinates (which is 1.689), but somehow I think I made an error in the calculation of the x-coordinates which I calculated as somewhere around 3.3117-3.3118 or 3.312.