The figure shows two cylindrical rods whose centers of mass are marked as $A$ and $B$. The line $AB$ divides the region into two parts: one containing point $O$ (region $1$) and the other containing point $O'$ (region $2$). Choose the correct option regarding the center of mass of the combined system.
- AThe center of mass of the system lies in region $1$.
- BThe center of mass of the system lies in region $2$.
- CThe center of mass of the system lies on line $AB$.
- DThe center of mass of the system may lie in region $1$ or region $2$ depending on the mass of the rods.
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