One end of a spring of stiffness $k=125 N/m$ and rest length $0$ is hinged at a frictionless pivot on a frictionless table. The other end of the spring is connected to a point body of mass $m$. If the point body could only move along a straight line, the period of oscillation is found to be $T = 8\pi$ seconds. What is the period if the body moves in a circular trajectory of radius $5 cm$?

Dynamics Rotational Motion