## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

$T = 2\pi~\sqrt{\frac{R}{g}}$
We can model this situation like an ice cube on the end of a pendulum of length $R$. Instead of tension from a string, there is the normal force from the track exerted on the ice cube. We can thus find the period of the motion as; $T = 2\pi~\sqrt{\frac{R}{g}}$