The 10 mg bead in (Figure 1) is free to slide on a frictionless wire loop. The loop rotates about a vertical axis with angular velocity . If is less than some critical value c, the bead sits at the bottom of the spinning loop. When >c, the bead moves out to some angle .Suppose R = 14 cm. What is c in rpm for the loop shown in the figure? At what value of , in rpm, is = 30?