A T shaped rod is hinged at it’s corner as shown and free to rotate in a vertical plane. The rods have mass $m$ each and length $\mathcal{l}$ each.

 

The angle $\theta$ made by upper end in the equilibrium position is ${53}^{\circ }$

The moment of inertia of the system about the axis passing through hinge and perpendicular to plane of rod is $\frac{11}{12}m{\mathcal{l}}^2$

The angle $\theta$ made by upper end in the equilibrium position is ${\tan }^{-1}\left(2\right)$

The moment of inertia of the system about the axis passing through hinge and perpendicular to plane of rod is $\frac{11}{6}m{\mathcal{l}}^2$