Question

A square plate having mass M and side length A, its moment of inertia along the axis passing through its diagonal is
1 ) ma^2/6
2) ma^2/12
3) 5ma^2/12
4) ma^2/2

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Answer 1

Answer :2)ma²/12

explanation :

as we know.

I(z)=I(x)+I(y)

I(x)=I(y) [As both diagonals are similar ]

I(z)=MA²/6

so, MA²/6=2I(x)

I(x)=MA²/12

hope it will help you.

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Answer 2

Answer:

2) Ma^2/12

Explanation:

The reason being

MoI about its centre of mass perpendicular to plane of lamina is given by I= Ma^2/6

Note using perpendicular access theorem...

Refer attachement for detailed solution!!

Hope this answer helped you ✌