Question

# Find the distance between the centre of gravity and centre of mass of a two-particle system attached to the ends of a light rod. Each particle has the same mass. Length of the rod is $$R$$, where $$R$$ is the radius of the earth.

A
R
B
R2
C
zero
D
R4

Solution

## The correct option is B $$\dfrac{R}{2}$$The centre of gravity of the Earth lie at its centre (Point p in picture)The centre of mass of the rod is $$\cfrac { mR+m.0 }{ 2m } =\cfrac { R }{ 2 } \\$$The distance between CM of the rod and CG of the Earth is=$$\cfrac { R }{ 2 }$$ [$$PS=\cfrac { R }{ 2 }$$ in the picture] Physics

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