A bead of mass \( \mathrm{m} \) is located on a parabolic wire with its axis vertical and vertex...

A bead of mass \( \mathrm{m} \) is located on a parabolic wire with its axis vertical and vertex directed
\( \mathrm{P} \) towards downward as in figure and whose equation

W is \( \mathrm{x}^{2}= \) ay. If the coefficient of friction is \( \mu \), the highest distance above the \( x \)-axis at which the particle will be in equilibrium is :-
(1) \( \mu \mathrm{a} \)
(2) \( \mu^{2} \mathrm{a} \)
(3) \( \frac{1}{4} \mu^{2} a \)
(4) \( \frac{1}{2} \mu \mathrm{a} \)