Let 
be the moment of inertia of a uniform plate about an axis 
that passes through its centre and is parallel to two of its sides. 
is a line in the plane of the plate that passes through the centre of the plate and makes an angle 
with 
. The moment of inertia of the plate about the axis 
is then equal to
a)
b)
c)
d)
Let be the moment of inertia of a uniform plate about an axis that passes through its centre and is parallel to two of its sides. is a line in the plane of the plate that passes through the centre of the plate and makes an angle with . The moment of inertia of the plate about the axis is then equal to
a)
b)
c)
d)
Question ID - 100737 | SaraNextGen Top Answer
Let be the moment of inertia of a uniform plate about an axis that passes through its centre and is parallel to two of its sides. is a line in the plane of the plate that passes through the centre of the plate and makes an angle with . The moment of inertia of the plate about the axis is then equal to
a)
b)
c)
d)
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Let |
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a) |
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b) |
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c) |
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d) |
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(a)
and
From symmetry, 
and
From theorem of perpendicular axis,
.png)
Alternative method:
The relation between 
and
should be true for all values of 
At 
Similarly, at 
(By symmetry)
Keeping these things in mind. Only option (a) is correct