A mass m is fixed at x = a on a parabolic wire its axis vertical and vertex at the origin as shown in the figure. The equation of parabolic is x^2 = 4ay. The wire frame is rotating with constant angular velocity ω about Y-axis. The acceleration of the bead is

Q: A mass m is fixed at x = a on a parabolic wire its axis vertical and vertex at the origin as shown in the figure. The equation of parabolic is x² = 4 a y. The wire frame is rotating with constant angular velocity ω about Y-axis. The
acceleration of the bead is

(a) $\frac{a}{4} \omega^2$

(b) a ω²

(c) zero

(d) $\frac{\omega^2}{a}$

Ans: (b)