show that centre of mass always shift towards the heavier side?
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Center of mass is calculated as weighted average of all points in the geometry of an object, weighted by the mass at those points.
If it were simply an unweighted average, the center would be the geometric center of the space occupied by the object.
Because the points are weightedby the mass they carry, heavier the mass at the points, more importance they get in the final average. And that is how it should be.
Explanation:
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