laws of motion...

a wire is bent in the shape of a parabola (y axis ) vertical with a bead of mass m on it. the bead can slide on the wire without friction. it stays at the lowest point of parabola when wire is at rest. the wire is now accelerated parallel to x axis with constant acceleration 'a'. the distance of new equilibrium position, on the bead where bead can stay at rest with respect to wire, from y-axis is-:????

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