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  4. 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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Q. 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

AIPMTAIPMT 1999System of Particles and Rotational Motion

Solution:

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Centre of mass of each ball lies on the centre.
$\Rightarrow $ Centre of mass of combined body will be at the centroid of equilateral triangle.