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JEE Main20202 Sep 2020Morning ShiftPhysicsMotion in Two DimensionsActual

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)

Options

  1. A2 2 g C
  2. B2 g C
  3. C2 g C a b
  4. D2 g C

Correct answer

A. 2 2 g C

Step-by-step solution

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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