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The moment of inertia of a thin uniform rod of mass M and length L about an axis

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is Iₒ. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

Options

(a) Iₒ + ML² / 2
(b) Iₒ + ML² / 4
(c) Iₒ + 2ML²
(d) Iₒ + ML²

Correct Answer:

Iₒ + ML² / 4

Explanation:

By theorem of parallel axes,
I = Icm + Md²
I = Iₒ + M(L / 2)²
Iₒ + ML² / 4

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