Rotational Motion Question 71
Question: The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is $ I _0 $ . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is
[AIPMT (S) 2011]
Options:
A) $ I _0+ML^{2}/4 $
B) $ I _0+2ML^{2} $
C) $ I _0+ML^{2} $
D) $ I _0+ML^{2}/2 $
Show Answer
Answer:
Correct Answer: A
Solution:
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The theorem of parallel axis for moment of inertia.
$ I=I _{CM}+Mh^{2} $
$ I=I _0+M{{( \frac{L}{2} )}^{2}} $
$ I=I _0+\frac{ML}{4} $
