A weightless rod of length l with a small load of mass m at the end is hinged at point A (Fig.) and occupies a strictly vertical position, touching a body of mass M. A light jerk sets the system in motion . For what mass ratio `M//m` will the rod form an angle `alpha = pi//6` with the horizontal at the moment of the separation from the body ? What will be the velocity u of the body at this moment ? Friction should be neglected.