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CBSE Class 11-science Answered

3 identical spheres each of radius R are placed touching each other on a horizontal table.where is centre of mass of system located.
Asked by Kb Aulakh | 27 Jan, 2014, 06:26: PM
answered-by-expert Expert Answer
The center of mass of each sphere is at the its geometrical centre. So the centre of mass of the system is in fact the centre of mass of the three equal point masses located at the vertices of an equilateral triangle ABC.
Here A, B and C are the centers of three spheres.
Each side of the triangle is 2R.
In order to locate the centre of mass the system, we have to choose one point, say B, as the origin.
 
The position vector of the centre of mass with respect to the origin B is given by,
 
 
Hence centre of mass is located at the point of intersection of the median of the triangle.
Answered by Komal Parmar | 27 Jan, 2014, 07:00: PM

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