Problem 3.288

A wire bent as a parabola \(y=a x^{2}\) is located in a uniform magnetic field of induction \(B\), the vector \(\mathbf{B}\) being perpendicular to the plane \(x, y .\) At the moment \(t=0\) a connector starts sliding translationwise from the parabola apex with a constant acceleration \(w\) (Fig. 3.78). Find the emf of electromagnetic induction in the loop thus formed as a function of \(y\).