the m.i of a thin rod of length l about the perpendicular axis through its center is I. the m.i of the square structure made by four such rods about a perpendicular axis to the plane and through the centre will be
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Answer:
16 I is the answer
Explanation:
Given Moment of inertia (MOI) , I=
12
1
ml
2
⇒ml
2
=12I
Using parallel axis theorem of moment, I=I
cm
+mx
2
, Where I
cm
is MOI about centre of mass and x is the distance between centre of mass and axis of rotation.
∴ Net MOI =4(
12
1
ml
2
+m(
2
l
)
2
)=
3
4
ml
2
=16I
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