Question

Three balls with masses of 4 g, 6 g, and 4 g,respectively, are connected by massless rods. The balls are located (in meter intervals).What is the x-coordinate of the center of mass?
Answer in units of m
The middle ball is at the center of mass in this case. That is obvious from the symmetry.

What its x-coordinate is depends upon what you choose for the origin of coordinates.

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