Three identical metal balls each of radius ' r ' are placed such that an equilateral triangle is formed when centres of three ball are joined. The centre of mass of the system is located at (a) centre of one of the balls. (b) point of intersection of medians. (c) line joining centres of any two balls. (d) on the circumference of any one of the balls.

Answer: (b). Each uniform ball acts as a point mass m at its centre. Three equal masses at the vertices of a triangle have their CM at the centroid. The centroid is the point of intersection of the medians. So the answer is (b) point of intersection of medians.

Three identical metal balls each of radius ' r ' are placed such that… | MHT CET 2024 (16 May, Shift 2)

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Centre of Mass of Discrete Particles

Three identical metal balls each of radius ' $r$ ' are placed such that an equilateral triangle is formed when centres of three ball are joined. The centre of mass of the system is located at

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Answer: (b)

Each uniform ball acts as a point mass $m$ at its centre.
Three equal masses at the vertices of a triangle have their CM at the centroid.
The centroid is the point of intersection of the medians.
So the answer is (b) point of intersection of medians.

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