System Of Particles And Rotational Motion Ques 65

65. 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:

[2008]

(a) $\frac{ML^{2}}{24}$

(b) $\frac{ML^{2}}{12}$

(c) $\frac{ML^{2}}{6}$

(d) $\frac{\sqrt{2} ML^{2}}{24}$

Show Answer

Answer:

Correct Answer: 65.(b)

Solution:

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

Length of each part $=L / 2$



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