I is moment of inertia of a thin square plate about an axis passing through opposite corners of plate. The moment of inertia of same plate about an axis perpendicular to the plane of plate and passing through its centre is
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The moment of inertia of same plate about an axis perpendicular to the plane of plate and passing through its center is (A) I22 (B) I23 (C) 2I4 (D) 2 I. Check Answer
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We have,
The moment of inertia is
I
AD
=I
BC
=I
Now, by using perpendicular axis theorem
for
I
AD
+I
BC
=I
0
2I=I
0
Hence, the moment of inertia is 2I
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