What is the method to calculate the center of mass for a system of particles?

AI Thread Summary
To calculate the center of mass for a system of particles, it's essential to identify the coordinates of each particle's center of mass. In this case, the first cylinder is vertical, extending from (0,0) to (0,35), while the second cylinder is angled, stretching from (35,0) to (53,-31.18). The midpoint of the second cylinder's y-coordinate is -15.9, indicating its position relative to the axes. Understanding these coordinates helps in determining the overall center of mass for the combined system of the two cylinders. Accurate calculations require careful consideration of the lengths and orientations of each cylinder.
Dr.House0
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well as the question said, you can assume that the leg is made of two cylinders. So first, you need to think about where the centre of mass of each cylinder is.
 
Can you explain more?
I did not understand these

1. m1 (0,0)(0,35) and M2 as (35, 0), (53, -31.18)

2.the midpoint of the y2 cordinate is -15.9
 
He has written down the points which are on the axes of the two cylinders, at the ends of the two cylinders. And he's using notation so that (x,y) is the coordinate of some point.

So he's saying that the first cylinder goes from (0,0) to (0,35) i.e. the first cylinder is horizontal, with length 35. And the second cylinder goes from (35,0) to (53,-31.18), which is because the second cylinder is not horizontal.
 

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