## College Physics (4th Edition)

$T = 2\pi~\sqrt{\frac{L}{g}}$
We can write the equation for the period of a physical pendulum: $T = 2\pi~\sqrt{\frac{I_{support}}{mgL_{cm}}}$ For a simple pendulum, $I_{support} = mL^2$ For a simple pendulum, $L_{cm} = L$ We can derive the equation for the period of a simple pendulum: $T = 2\pi~\sqrt{\frac{I_{support}}{mgL_{cm}}}$ $T = 2\pi~\sqrt{\frac{mL^2}{mgL}}$ $T = 2\pi~\sqrt{\frac{L}{g}}$