Three identical spheres each of mass m and radius R are placed touching each other so that their centres A, B and C lie on a straight line. The position of their centre of mass from the centre of A is

2R3

2R

5R3

4R3

A

5R3

B

4R3

C

2R

D

2R3

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Solution

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[B] From Symmetry B is the centre of ABC combined.

Position of centre of mass of ABC (combined) from

centre of A=R+R=2R

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