A uniform thin rod AB of length L and mass m is undergoing rotation about a fixed axis passing through end A and perpendicular to the rod, such that end A remains stationary as shown. The kinetic energy of section AP of the rod is equal to the kinetic energy of section BP of the rod at an instant. Then what is the value of `((AB)/(AP))^(3)?` (AB and AP are lengths of respectively parts of the rod)

Answer

2