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

MARKS App · Accepted Answer

m ω 2 acos θ = mgsin θ ω = g tan θ a y = 4 c x 2 tan θ = d y d x = 8 x C ( tan θ ) a , b = 8 a C ω = g × 8 ac a = 2 2 g C

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