A small body of mass m tied to a non-stretchable thread moves over a smooth horizontal plane.

Question:

A small body of mass m tied to a non-stretchable thread moves over a smooth horizontal plane. The other end of the thread is being drawn into a hole O (Fig. 1.49) with a constant velocity. Find the thread tension as a function of the distance r between the body and the hole if at r = ro the angular velocity of the thread is equal to ωo