A stunt man having mass 70 kg swings from the end of a 4.6 m long rope all along the arc of a vertical circle. Supposing that he begins from rest when the rope is horizontal, determine the tensions in the rope which are needed to make him follow his circular path at each of the given points.
(i) At the starting of the motion
(ii) At a height of 1.5 m above the bottom of circular arc
(iii) At the bottom of the arc.