Chapter 16, Problem 34PQ

Show that angular frequency of a physical pendulum ${\omega }_{\text{phy}}=\sqrt{mg{r}_{\text{CM}}/I}$ (Eq. 16.33) equals the angular frequency of a simple pendulum ${\omega }_{\text{smp}}=\sqrt{g/\ell }$, (Eq. 16.29) in the case of a particle at the end of a string of length ℓ.