find the moment of inertia when two identical rods are placed in t-shape about an axis perpendicular to the shape and passing through the one end of the axis.
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Answer:
From the figure , A is the mid point of rod OB,
Using Pythagoras theorem ⇒AP=
l
2
+
4
l
2
=
2
5
l,
Moment of inertia (MOI) of rod OP about point P=
3
ml
2
Using parallel axis theorem, MOI of rod OB about point P=
12
ml
2
+
4
5
ml
2
=
3
4
ml
2
Adding MOI=
3
ml
2
+
3
4
ml
2
=
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