A piece of wire is bent in the shape of a parabola `y=kx^(2)`(yaxis vertical ) with a bead of mass m on it . The bead can slide on the wire without friction . It stays at the lowest pint of the parabola when the wire is at rest.The wire is now accelerated paralle to the x-axis with a constant acceleration a. The distance of the new equilibrium position of the bead. Find the X-coordinate where the bead can stay at rest with respect to the wire?

Answer

`x=a/(2kg)`