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  4. Two identical rods of mass M and length l are lying in a horizontal plane at an angle α. The moment of inertia of the system of two rods about an axis passing through O and perpendicular to the plane of the rods is

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Q. Two identical rods of mass $M$ and length $l$ are lying in a horizontal plane at an angle $\alpha$. The moment of inertia of the system of two rods about an axis passing through $O$ and perpendicular to the plane of the rods isPhysics Question Image

System of Particles and Rotational Motion

Solution:

The angle between the rods will not make any difference.
$\therefore$ Net moment of inertia,
$I=I_{1}+I_{2}$
$=\frac{M l^{2}}{12}+\frac{M l^{2}}{12}=\frac{M l^{2}}{6}$