System of Particles and Rotational Motion - Result Question 57
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61. The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis passing through its midpoint 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
======= ####61. The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis passing through its midpoint 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
3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/system-of-particles-and-rotational-motion/system-of-particles-and-rotational-motion—result-question-57.md (a) $I_0+ML^{2} / 2$
(c) $I_0+2 ML^{2}$
(b) $I_0+ML^{2} / 4$
(d) $I_0+ML^{2}$
[2011]
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Answer:
Correct Answer: 61. (b)
Solution:
- (b) By theorem of parallel axes,
$I=I _{cm}+Md^{2}$
$I=I_0+M(L / 2)^{2}=I_0+ML^{2} / 4$
