determine the centroidal element ybar by finding the midoint of the lower and upper curves. in matlab

main.m
ybar = (1/Area) * trapz(y.*(x-Xlower))
39 chars
2 lines

main.m
% Define the lower and upper curves as functions of x
x = linspace(0,5);                  % x values
yLower = 2.5 - 0.5*x;                % lower curve
yUpper = 4 - 0.5*x.^2;              % upper curve

% Determine the area between the curves
y = yUpper - yLower;                % height of each point
Area = trapz(x,y);                  % area between the curves

% Determine the distance from the centroid to the lower curve
Xlower = trapz(x, yLower.*y);       % moment of lower curve
Xupper = trapz(x, yUpper.*y);       % moment of upper curve
Xbar = (1/Area) * (Xupper - Xlower);% distance from centroid to lower curve

% Determine the y-coordinate of the centroid
ybar = (1/Area) * trapz(y.*(x-Xlower));

% Plot the curves and the centroid
figure; 
plot(x,yLower,'b-', x,yUpper,'r-', [Xbar Xbar],[0 6],'k:', 'LineWidth',2); grid on;
xlabel('x'); ylabel('y');legend('Lower Curve','Upper Curve','Centroidal Axis');
918 chars
22 lines