Two small charged beads of charge q and mass m are on a ring of radius R. Bead 1 is fixed at a position and Bead 2 can be moved along the ring. The angle between these two beads from the center of the ring is q (a) Calculate the electric field of magnitude E at the position of Bead 2 as a function of q. (b) Calculate the fore on Bead 2 in the direction along the ring and find the equilibrium position. (c) If Bead 2 oscillates near the equilibrium position, calculate the oscillation frequency.
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