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JEE Main 2021 (27 Aug, Shift 1) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from JEE Main 2021 (27 Aug, Shift 1)

Q123JEE Main 2021 · 27 AUG · SHIFT 1Easy

Moment of Inertia & Radius of Gyration

Moment of inertia of a square plate of side l about the axis passing through one of the corner and perpendicular to the plane of square plate is given by:

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Answer: (d)

  1. About the central axis normal to the plate: Icm=Ml26I_{cm} = \frac{Ml^2}{6}.
  2. Corner is at half-diagonal: d2=l22d^2 = \frac{l^2}{2}.
  3. I=Ml26+Ml22=23Ml2I = \frac{Ml^2}{6} + \frac{Ml^2}{2} = \frac{2}{3}Ml^2
  4. So the answer is (d) 23Ml2\frac{2}{3}Ml^2.
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