# Cooridinate+Mechanics

A piece of wire is bent in the shape of a parabola whose equation is $$y=kx^2$$ ($$y$$-axis veritical) with a mass $$m$$ on it. At rest, it stays on lowest point of the parabola. The wire is now accelerated parallel to $$x$$-axis with $$a$$. What is the distance of new equilibrium position of the mass from the $$y$$-axis, where it can stay at rest with respect to wire?

Details and assumptions:

• Assume the system to be smooth (frictionless).

• Acceleration $$a$$ is constant.

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