Last Updated On [03-11-2023]
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 :-
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 |
|||||||
|
a) |
|
b) |
|
c) |
|
d) |
|
(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
Next Question :
|
In which of the following cases, the centre of mass of a rod is certainly not at its centre? |
|
|
a) |
The density continuously increases from left to right |
|
b) |
The density continuously decreases from left to right |
|
c) |
The density decreases from left t right up to the centre and then increases |
|
d) |
The density increases from left to right up to the centre and then decreases |
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