A bead of mass m stays at point P(a, b) on a wire bent in the shape of a parabola y = 4Cx2 and rotating with angular speed $\omega $ (see figure). The value of $\omega $ is (neglect friction) :

Question

A bead of mass m stays at point P(a, b) on a wire bent in the shape of a parabola y = 4Cx² and rotating with angular speed $\omega $ (see figure). The value of $\omega $ is (neglect friction) :

$2\sqrt {2gC} $

$2\sqrt {gC} $

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

$\sqrt {{{2g} \over C}} $

Solution

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