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A smooth wire of length 2 π r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed ω about the vertical diameter AB, as shown in figure, the bead is at rest with respect to the circular ring at position P as shown. Then the value of ω 2 is equal to - r/2 O A ω r B P

1. r / ) 3 g (
2. 2g/r
3. r 2 g 3
4. ) 3 r /( g 2

Correct answer: ) 3 r /( g 2

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