MATLAB: Center of gravity between 2 points

center of gravitypoints

Hello guys,

do you know about simple way how to calculate position of center of gravity between two points? For example first value has 10 kg and second 20 kg.

x = [1 3]
y = [2 5]
v = [10 20]
plot(x,y)
hold on
scatter(x,y,100,v,'filled')
axis image
colorbar
colormap winter
axis([x(1)-1 x(2)+1 y(1)-1 y(2)+1])

Best Answer

x = [1 3];
y = [2 5];
v = [10 20];
xc = sum(v.*x)/sum(v);
yc = sum(v.*y)/sum(v);

Related Solutions

MATLAB: Center of two points (positive and nenegative values)

I believe your calculation is correct for negative values of v. The problem is that the point may not lie between the two input points, and in fact may lie outside the axis limits you have defined, so you don't see it.

Try setting

v = [10 -6]

and commenting out the line

axis([x(1)-1 x(2)+1 y(1)-1 y(2)+1])

so that you see the default axis.

MATLAB: How i do plot a point connecting 5 points and how i name the end point and centre point with letters

Here's a solution

% your data
x = [20 25 30 35 45];
y = [40 15 10 50 30];
x0 = 30;
y0 = 30;
figure('color','white');
xlim([20 45]); ylim([10 50]);
hold on;
for ipt = 1:length(x)
    plot([x(ipt) x0],[y(ipt) y0],'color',[0 0 1]);
    myChar = char(64+ipt);
    text(x(ipt)+0.5,y(ipt)+0.75,myChar);
end
plot(x,y,'o','markerfacecolor','k','markeredgecolor','none', ...
    'markersize',4);
plot(x0,y0,'o','markerfacecolor','k','markeredgecolor','none', ...
    'markersize',4);
text(x0+0.5,y0+0.75,'O');
set(gca,'xtick',[20:2:44]);
set(gca,'ytick',[10:10:50]);
set(gca,'XMinorTick','on');
set(gca,'YMinorTick','on');
xlabel('x');
ylabel('y');

Best Answer

Related Solutions

MATLAB: Center of two points (positive and nenegative values)

MATLAB: How i do plot a point connecting 5 points and how i name the end point and centre point with letters

Related Question