Cernter of gravity.

Hi, I got a 58x22x122 matrix and have to calculate the center of gravity in every single layer for its own. But I have no clue how to do it, please give advice if you know.

Thanks alot

Answer 1

[Adam Danz]

Learn about Center of Mass equations here

• khanacademy
• hyper physics

Answer 2

[Jan]

I assume you mean the center of mass. A matrix is an rectangular set of numbers. So should we assume, that the values of the matrix are the local weights?

m = 58;
n = 22;
X = rand(m, n);
R = [0, 0];
for i1 = 1:m
  for i2 = 1:n
     R = R + X(i1, i2) * [i1, i2];
  end
end
R = R / sum(X, 'all')   % Center of mass, if X(i1,i2) is the "mass"

More Matlab'ish without loops:

Rcol = sum(X .* (1:m).', 'all') / sum(X, 'all')
Rrow = sum(X .* (1:n),   'all') / sum(X, 'all')

Now create a loop and set X to each "layer" (however this is defined) of your input data.