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Figure shows an assembly of three small spheres of the same mass that are attached to a massless rod with the indicated spacings. Consider the moment of inertia $I$ of the assembly about each sphere, in turn. The sphere(s) about which moment of inertia is greatest is

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$1 & 3$

$3$

$2$

$1$

answer is C.

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Detailed Solution

$I_{1} = 0 + m d^{2} + m {(3 d)}^{2} = 10 m d^{2} I_{3} = 0 + m {(2 d)}^{2} + m {(3 d)}^{2} = 13 m d^{2}$

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