% Problem 3 clc; clear all; r = 1; A1 = 4*r*r/2; % Area of the rectangle with sides 2r, r/2 C1x = 2*r; C1y = 0.25*r; % Centroid of the rectangle A2 = pi*r^2; % Area of the circle with radius r C2x = r; C2y=-r; % Centroid of the first circle A3 = pi*r^2; % Area of the circle with radius r C3x = 3*r; C3y=-r; % Centroid of the second circle Cx=(A1*C1x+A2*C2x+A3*C3x)/(A1+A2+A3); Cy=(A1*C1y+A2*C2y+A3*C3y)/(A1+A2+A3); Centroid = [Cx,Cy] % Centroid = 2.0000 -0.6982 (m) (D)
Centroid = Column 1 2.000000000000000 Column 2 -0.698183741243470