Write an expression for the moment of inertia of a rod of mass M and length l *
1 point
I= 1/3 Ml²
I=Ml²
I=Ml
I=Ml⁴
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Answer:
For the rod of mass M and length l,
I=Ml
2
/12. Using the parallel axes theorem, I
′
=I+Ma
2
with a=l/2 we get,
I
′
=M
12
l
2
+M(
2
l
)
2
=
3
Ml
2
We can check this independently since I is half the moment of inertia of a rod of mass 2M and length 2l about its midpoint,
I
′
=2M.
12
4l
2
×
2
1
=
3
Ml
2
Explanation:
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