The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate can NOT be given by :

where, $I_{1}, I_{2}, I_{3}, I_{4}$ are the moments of inertia of the plates about axes 1,2,3,4 respectively.

I_{1} + I_{2}

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I_{3} + I_{4}

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I_{1} + I_{3}

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I_{1} + I_{2} + I_{3} + I_{4}

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Solution

The correct option is D $I_{1} + I_{2} + I_{3} + I_{4}$
$I \neq I_{1} + I_{2} + I_{3} + I_{4}$
(this equation violates $⊥^{r}$ axes theorem)

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Similar questions

The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate can NOT be given by :

where, $I_{1}, I_{2}, I_{3}, I_{4}$ are the moments of inertia of the plates about axes 1,2,3,4 respectively.

Q. The moments of inertia of a thin square plate

A B C D

of uniform thickness an axis passing through the centre

O

and perpendicular to the plate are
(where

I_{1}, I_{2}, I_{3}, I_{4}

are respectively, the moments of inertia about axes 1,2,3,4 where axes are in the plane of the plate)

The moment of inertia of thin square plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is not equal to (Given $I_{1}, I_{2}, I_{3} a n d I_{4}$ respectively, are the moments of inertia about axes 1,2,3and 4 which are in the plane of the plate)

Q. The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is:
a)

I_{1} + I_{3}

I_{2} + I_{4}

2 I_{1} + I_{3}

I_{1} + 2 I_{3}

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The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate can NOT be given by : where, I1,I2,I3,I4 are the moments of inertia of the plates about axes 1,2,3,4 respectively.

The correct option is D I1+I2+I3+I4I≠I1+I2+I3+I4 (this equation violates ⊥raxes theorem)

The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate can NOT be given by :

where, $I_{1}, I_{2}, I_{3}, I_{4}$ are the moments of inertia of the plates about axes 1,2,3,4 respectively.

The correct option is D $I_{1} + I_{2} + I_{3} + I_{4}$
$I \neq I_{1} + I_{2} + I_{3} + I_{4}$
(this equation violates $⊥^{r}$ axes theorem)