# The moments of inertia of a thin square plate  of uniform thickness about an axis passing through the centre  and perpendicular to the plate are a) b) c) d) (where and  are, respectively, the moments of inertia about axes 1, 2, 3 and 4, where axes are in the plane of the plate)

## Question ID - 100689 :- The moments of inertia of a thin square plate  of uniform thickness about an axis passing through the centre  and perpendicular to the plate are a) b) c) d) (where and  are, respectively, the moments of inertia about axes 1, 2, 3 and 4, where axes are in the plane of the plate)

3537

(a,b,c)

According to the theorem of perpendicular axis:

Moment of inertia of the plate about an axis passing through centre  and perpendicular to the plate is (Because diagonals 1 and 2 as well as 3 and 4 are mutually perpendicular)

Now, according to symmetry,

and

For a square plate

Hence,

i.e.,

Hence,

i.e., options (a), (b), and (c) are correct

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In the series given below what will come in place of question mark (?) ?

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