A smooth wire of length 2πr 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 ω2 is equal to:

\(\frac{{{\rm{g}}\sqrt 3 }}{{\rm{r}}}\)

\(\frac{{\sqrt 3 {\rm{g}}}}{{2{\rm{r}}}}\)

\(\frac{{2{\rm{g}}}}{{{\rm{r}}\sqrt 3 }}\)

\(\frac{{2{\rm{g}}}}{{\rm{r}}}\)

A smooth wire of length 2πr is bent into a circle and kept in a verti

1.	A smooth wire of length 2πr 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 ω2 is equal to:
A.	\(\frac{{\sqrt 3 {\rm{g}}}}{{2{\rm{r}}}}\)
B.	\(\frac{{2{\rm{g}}}}{{{\rm{r}}\sqrt 3 }}\)
C.	\(\frac{{{\rm{g}}\sqrt 3 }}{{\rm{r}}}\)
D.	\(\frac{{2{\rm{g}}}}{{\rm{r}}}\)
Answer» C. \(\frac{{{\rm{g}}\sqrt 3 }}{{\rm{r}}}\)

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