Question

Find the x and y coordinates of the center of gravity of a 4.00 t 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-3.50 it and b 1.50 It. Need Help? Read It Take Tier

Answer 1

large rectangle: area A₁ = 8*4 = 32, center of mass: (4,2)

small rectangle: area A₂ = a*b = 3.50*1.50 = 5.25 , center of mass:(8 - a/2, 4 - b/2) = (8-3.5/2, 4-1.5/2) = (6.25, 3.25)

x = (A₁*4 - A₂*6.25)/(A₁ -A₂) = 3.558 ft

y = (A₁*2 - A₂*3.25)/(A₁ -A₂) = 1.755 ft

feel free to drop comment if you have any doubt.

Answer 2

(10÷3,5÷3)