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MHT CET 2024 (15 May, Shift 1) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2024 (15 May, Shift 1)

Q71MHT CET 2024 · 15 MAY · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

Three thin rods, each of mass ' $M$ ' and length ' $L$ ' are placed along $X, Y$ and Z axes which are mutually perpendicular. One end of each rod is at origin. M. I. of the system about Z axis is

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Answer: (c)

Rod along Z lies on the axis: $I = 0$ .
Rods along X and Y are perpendicular to Z with one end on it: $\frac{ML^2}{3}$ each.
$I = \frac{2ML^2}{3}$ , so the answer is (c).

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