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
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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)
of uniform thickness about an axis passing through the centre and perpendicular to the plate area)
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 | SaraNextGen Top Answer 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)
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
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a) |
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b) |
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c) |
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d) |
(where |
(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