In the diagram shown below all three rods are of equal length $L$ and equal mass $M$. The system is rotated such that $\operatorname{rod} B$ is the axis. What is the moment of inertia of the system?

Question

In the diagram shown below all three rods are of equal length $L$ and equal mass $M$. The system is rotated such that $\operatorname{rod} B$ is the axis. What is the moment of inertia of the system?, $\frac{M L^2}{6}$, $\frac{4}{3} M L^2$, $\frac{M L^2}{3}$, $\frac{2}{3} M L^2$

MARKS App · Accepted Answer

Since the width is negligible, the moment of inertia of $B$ is zero along its length. $I_A+I_C=\frac{m L^2}{12}+\frac{m L^2}{12}=\frac{m L^2}{6}$

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