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Two identical spherical balls of mass $M$ and radius $R$ each are stuck on two ends of a rod of length 2R and mass $M$ (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is:
(1) $\frac{137}{15}MR^2$
(2) $\frac{17}{15}MR^2$
(3) $\frac{209}{15}MR^2$
(4) $\frac{152}{15}MR^2$
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