A bead of weight $w$ can slide on smooth circular wire in a vertical plane. The bead is attached by a light…

A bead of weight $w$ can slide on smooth circular wire in a vertical plane. The bead is attached by a light thread to the highest point of the wire and in equilibrium, the thread is taut and make an angle $\theta$ with the vertical then tension of the thread and reaction of the wire on the bead are
  1. $T=w \cos \theta \quad R=w \tan \theta$
  2. $\mathrm{T}=2 \mathrm{w} \cos \theta \quad \mathrm{R}=\mathrm{w}$
  3. $\mathrm{T}=\mathrm{w} \quad \mathrm{R}=\mathrm{w} \sin \theta$
  4. $T=w \sin \theta \quad R=w \cot \theta$

Solution

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Asked in: JEE Main 2002

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