Three particles each of mass m are placed at the corners of a right angled triangle
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Explanation:
Every time you add a particle the centre of mass shifts in the direction of that particle. The magnitude of shift depends on the mass of the paricle directly.
In your case it remains the same as where it was before the centroid.
You can draw and check ( the shifts are gonna be same as the masses added are SAME, it will not be the same if masses added where different.) ☺️☺️
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