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Suppose I have $n$ areas of masses $m_1, m_2, ... ,m_n$, each with a center of mass $[x_i, y_i]$. They have no intersections between them - the areas are exclusive.

If I consider them all as one body (one area), what is their center of mass? Is it this:

$$x = \frac{\sum_{i=0}^n m_ix_i}{\sum_{i=0}^n m_i}$$ ?

SlowerPhoton
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  • Why would you think not? Or: what is your working definition of center of mass? Finally, where did the $y_i$ go in your displayed formula: do you mean $[x,y]=\sum m_i[x_i,y_i]/\sum m_i$ ? Or has $x$ become a vector between your first formula and the last one? – kimchi lover Nov 22 '17 at 21:08
  • The common center of mass would be $[x, y]$, but I chose not to include the calculation of $y$ as it is exactly the same one. I just need to know it is correct, because I can't find a mistake in my calculations. – SlowerPhoton Nov 22 '17 at 21:38

1 Answers1

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Yes, you may consider such model. Your formula is true.

Alexey Sokolov
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