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.
xA= 3.7/2 cm
Ycm (Y-coordinates)= 1.689 cm
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)
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.