Question
Moment of Inertia of a thin uniform square plate about an axis through centre and perpendicular to the plate is(a) $\mathrm{I}_{1}+\mathrm{I}_{4}$(b) $\mathrm{I}_{2}+\mathrm{I}_{3}$(c) $2 \mathrm{I}_{1}$(d) $2 \mathrm{I}_{2}$
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Moment of Inertia of a thin uniform square plate about an axis through centre and perpendicular to the plate is (a) $\mathrm{I}_{1}+\mathrm{I}_{4}$ (b) $\mathrm{I}_{2}+\mathrm{I}_{3}$ (c) $2 \mathrm{I}_{1}$ (d) $2 \mathrm{I}_{2}$
For a thin square plate $A B C D$ as shown, consider three axes (marked 1,2 , and 3 ) in plane of the plate. Moment of inertia of the plate are $I_{1}, I_{2}$ and $I_{3}$ about axis 1,2 , and 3 respectively. (a) $I_{1}=I_{2}=I_{3}$ (b) $I_{1}>I_{2}>I_{3}$ (c) $I_{3}>I_{2}>I_{1}$ (d) $l_{1}=I_{3}>I_{2}$
Rotational and Rolling Motion
Section B
Let $I$ be the moment of inertia of a uniform square plate about an axis $A B$ that passes through its centre and is parallel to two of its sides. $C D$ is a line in the plane of the plate that passes through the centre of the plate and makes an angle $\theta$ with $A B$. The moment of inertia of the plate about the axis $C D$ is then equal to (a) $I$ (b) $I \sin ^{2} \theta$ (c) $I \cos ^{2} \theta$ (d) $I \cos ^{2}(\theta / 2)$
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