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  • Consider a thin uniform square sheet made of a rigid material. If its side is 'a', mass m and moment of inertia l about one of its diagonals, then :<div class='qna-opti

Consider a thin uniform square sheet made of a rigid material. If its side is 'a', mass m and moment of inertia l about one of its diagonals, then :

Option: 1

I>\frac{ma^{2}}{12}


Option: 2

\frac{ma^{2}}{24}<I< \frac{ma^{2}}{12}


Option: 3

I= \frac{ma^{2}}{12}


Option: 4

I= \frac{ma^{2}}{24}


Answers (1)

best_answer

As we learnt

Perpendicular Axis theorem -

I_{z}= I_{x}+I_{y}

(for a body in XY plane )

- wherein

I_{z} = moment of inertia about z axis

I_{x} .I_{y} :moment of inertia about x & y  axis in the plane of body respectively.

 

 

For a thin uniform sheet(square)

where I_{1}=I_{2}=I_{3}=\frac{ma^{2}}{12}

Posted by

Ajit Kumar Dubey

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