System of Particles and Rotational Motion - Result Question 61
64. A thin rod of length $L$ and mass $M$ is bent at its midpoint into two halves so that the angle between them is $90^{\circ}$. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is:
(a) $\frac{ML^{2}}{24}$
(b) $\frac{ML^{2}}{12}$
(c) $\frac{ML^{2}}{6}$
(d) $\frac{\sqrt{2} ML^{2}}{24}$
[2008]
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Answer:
Correct Answer: 64. (b)
Solution:
- (b) Mass of each part $=M / 2$
Length of each part $=L / 2$
