Three identical metal spheres each of radius r touch one another on a horizontal surface so their centres form an equilateral triangle. The system centre of mass is at:
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Question

Three identical metal spheres each of radius r touch one another on a horizontal surface so their centres form an equilateral triangle. The system centre of mass is at:

G1 Physics · Accepted Answer

Step 1: The spheres have equal masses, so the mean position of their centres equals the triangle centroid. Step 2: The medians of an equilateral triangle intersect at this point. Final answer: D — the intersection of the triangle medians.