COLLEGE PHYSICS
posted by natali on .
Find the x and y coordinates of the center of gravity of a 4ft by 8ft uniform sheet of plywood with the upper right quadrant removed?
with out mass of the plywood how do go about calculating the center gravity for x/y coordinates?

The CG location can be quickly calculated by treating the board as three rectangles with mass concentrated in the center of each. The CG of the 3/4 complete board is the massweighted mean location of those 3 CGs. Let x=0, y=0 be the center of the complete 4x8 board.
If x is the long (8') axis and y the short (4') axis of the board, the CG for the x direction is (2 + 2  2)/3 = 2/3 feet (+8 inches) and the CG for the y direction is (11+1)/3 = 1/3 feet (4 inches)