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Three identical metal balls, each of the radius r are placed touching each other on a horizontal surface such that an equilateral triangle is formed when centres of three balls are joined. The centre of the mass of the system is located at ___________

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Three identical metal balls, each of the radius r are placed touching each other on a horizontal surface such that an equilateral triangle is formed when centres of three balls are joined. The centre of the mass of the system is located at ___________

(a) Line joining centres of any two balls

(b) Centre of one of the balls

(c) Horizontal surface

(d) Point of intersection of the medians

This question was addressed to me in an online quiz.

My question is from Translational and Rotational Motion topic in division System of Particles and Rotational Motion of Engineering Physics I

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Right answer is (d) Point of intersection of the medians

Easy explanation: The centre of mass of the system lies at the point of intersection of the medians that is at the centroid of the equilateral triangle.

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