Two small beads having positive charges $q_1 = 30q$ and $q_2 = q$ are fixed at the opposite ends of a horizontal insulating rod of length $d = 1.50 \text{ m}$. The bead with charge $q_1$ is at the origin. As shown in the figure below, a third small, charged bead is free to slide on the rod.
(a) At what position $x$ is the third bead in equilibrium?
$x = \text{________} \text{ m}$
(b) Can the equilibrium be stable?
Yes, if the third bead has a positive charge.
Yes, if the third bead has a negative charge.
No