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5.107 n A small head can slide without friction on a circu- lar hoop that is in a vertical plane and has a radius of 0.100 m. The hoop rotates at a constant rate of 4.80 rev/s about a ver- tical diameter (Fig. P5.107). (a) Find the angle (3 at which the head is in vertical equilib- rium. (it has a radial accelera- tion toward the axis.) (b) Is it possible for the bead to \"ride" at the same elevation as the center of the hoop? (c) What will happen if the hoop rotates at 1-00 rev/s? Figure P5.107