1. A hula hoop with a mass of 0.712 kg and a radius of 0.5 m hangs from a fixed very thin rod(the size is exaggerated in the diagram below) so that the hoop can rotate freely around it(use a moment of inertia of I = 2MR² for the hoop rotating around the edge). If a perfectly tangential force is applied at the bottom of the hoop (it starts horizontally, but continues to be tangential as the hoop rotates) for At = 0.25 s such that it rotates around the rod without slipping and always keeps in contact with it, what is the minimum force required to allow the hoop to complete a full loop around the rod? Show your work. Hint: You will need to incorporate multiple rotational and energy concepts in order to correctly solve this problem.