A small bead can slide without friction on a circular hoop that is in a Figure P5.107 vertical plane and has a radius of 0.100 m. The hoop rotates at a constant rate of 4.00 rev/s about a vertical diameter (Fig. P5.107). (a) Find the angle B at which the bead is in vertical equilibrium. (It has a radial acceleration toward the axis.) (b) Is it possible for the bead to "ride" at the same 0.100 m elevation as the center of the hoop? (c) What will happen if the hoop rotates at 1.00 rev/s