The moment of inertia of a thin square plate 
. Figure of uniform thickness about on axis passing through the centre 
and perpendicular to the plane is
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a)
b)
c)
d)
. Figure of uniform thickness about on axis passing through the centre and perpendicular to the plane isa)
b)
c)
d)
Question ID - 100576 | SaraNextGen Top Answer The moment of inertia of a thin square plate . Figure of uniform thickness about on axis passing through the centre and perpendicular to the plane is
a)
b)
c)
d)
The moment of inertia of a thin square plate . Figure of uniform thickness about on axis passing through the centre and perpendicular to the plane is
|
a) |
|
b) |
|
c) |
|
d) |
|
1 Answer
127 votes
Answer Key / Explanation : (a,b,c) -
(a,b,c)
To find the moment of inertia of 
about an axis passing through centre 
and perpendicular to the plane of the plate, we use perpendicular axis theorem. If we consider 
to be in the 
plane, then we know that
.png)
(i)
Also 
(ii)
Adding Eqs. (i) and (ii), we get
But 
and
(by symmetry)
127 votes
Answer Link
127