Note: For this problem, please use g = 9.81 m/". Otherwise your answer may lie outside the numerical tolerance. A single bead can slide with negligible friction on a wire that is bent into a circle of radius 13.6 cm, as seen in the figure below. The circle is always in a vertical plane and rotates steadily about its vertical diameter. The position of the bead is described by the angle O that the radial line from the centre of the loop to the bead makes with the vertical. 3.0p 7a If the loop is rotating with a period of 0.473 s, at what angle up from the lowest point can the bead stay motionless relative to the turning circle? Give your answer in degrees.1.0p 7b At faster rotation speeds (as in the question above). there are two stable configurations of the bead: (1) the angle you just derived and (2) 0 = 0. There exists a maximum period of rotation beyond which there is only one stable configuration of the bead, at 0 = 0. Find this maximum period, in seconds, for the radius 13.6 cm hoop under consideration