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Applying NLM along 3 Axis

Three identic...

Question

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

A

\frac{2 R}{3}

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B

2R

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C

\frac{5 R}{3}

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D

\frac{4 R}{3}

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Solution

The correct option is B 2R
[B] From Symmetry B is the centre of ABC combined.
Position of centre of mass of ABC (combined) from
centre of $A = R + R = 2 R$

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