Let $x_1$ and $x_2$ be distances of centre of mass from the two bodies of masses $M$ and $m (M > m)$ respectively. As $Mx_1 = mx_2 \:\:\:\:\: \therefore \:\: \frac{x_1}{x_2} = \frac{m}{M}$ $\because \:\: M > m $ or $m < M$ $\therefore \:\:\:\: \frac{x_1}{x_2} < 1 $ or $x_1 < x_2$ Thus, the centre of mass is closer to the heavier body.
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Top Questions on System of Particles & Rotational Motion
The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.