System of Particles and Rotational Motion - Result Question 61

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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:

======= ####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:

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/system-of-particles-and-rotational-motion/system-of-particles-and-rotational-motion—result-question-61.md (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:

  1. (b) Mass of each part $=M / 2$

Length of each part $=L / 2$