# A bead of mass m stays at point P (a, b) on a wire bent in the shape of a parabola y = 4Cx^2 and rotating

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A bead of mass m stays at point P (a, b) on a wire bent in the shape of a parabola $y=4Cx^2$ and rotating with angular speed $\omega$ (see figure). The value of $\omega$ is (neglect friction)

(1) $\sqrt{2gC}$

(2) $\sqrt{2gC\over ab}$

(3) $\sqrt{2g\over C}$

(4) $2\sqrt{2gC}$

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Laws of motion, equilibrium of bodies
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Very hard question of JEE
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Yeh Y=4Cx^2 hona chahiye
Y=Cx^2 nhi hoga

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verified
Ans : (4) $2\sqrt{2gC}$