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STD 11 - 6. system of particles and rotational motion — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 6. system of particles and rotational motion4 Marks
MCQ
Consider a thin uniform square sheet made of a rigid material. If its side is $‘a’$ mass $m$ and moment of inertia $I$ about one of its diagonals, then
  • A
    $I > \frac{{m{a^2}}}{{12}}$
  • B
    $\frac{{m{a^2}}}{{24}} < I < \frac{{m{a^2}}}{{12}}$
  • C
    $I = \frac{{m{a^2}}}{{24}}$
  • ✓
    $I = \frac{{m{a^2}}}{{12}}$
✓

Answer

Correct option: D.
$I = \frac{{m{a^2}}}{{12}}$
d
For a thin uniform square sheet

${I_1} = {I_2} = {I_3} = \frac{{m{a^2}}}{{12}}$

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