Astronants on a distant planet set up a physical pendulum of lenght $12$ m and mas $2\mathrm{.}5$ kg The pendulum is a uniform rod that swing about an axis that passes through one end and executes simple harmenic motiot, making Tout complete vibrations in $220$ secobls$.$

$($a$)$ Find the rotutional inertia for this physical pendulum?

$($b$)$ What is the magnitude of the acecletation due to gravity on this planet?

$($For a whiform tod, $I_{\text{c}\text{a}\text{m}}=\frac{1}{12}m{t}^2)$