Problem 1.193

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 \(r=r_{0}\) the angular velocity of the thread is equal to \(\omega_{0}\).