Physics - SHM Question with Solution | TestHub

Two identical rods each of mass $m$ and length $\ell$, are rigidly joined and then suspended in a vertical plane so as to oscillate freely about an axis normal to the plane of paper passing through ' $S$ ' (point of suspension). Time period of such small oscillations $=\frac{2\pi }{3}\sqrt{\frac{\alpha \ell }{\beta g}}$, then find the value of $\alpha +\beta$.