Rotational Motion Question 195
Question: 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
Options:
A) $I _{0}+ML^{2}/2$
B) $I _{0}+ML^{2}/4$
C) $I _{0}+2ML^{2}$
D) $I _{0}+ML^{2}$
Show Answer
Answer:
Correct Answer: B
Solution:
[b] By theorem of parallel axes,
$I=I _{cm}+Md^{2}$
$I=I _{0}+M{{(L/2)}^{2}}=I _{0}+ML^{2}/4$
