A rod of mass `m` and length `l` is rotating about a fixed point in the ceiling with an angular velocity `omega` as shown in the figure. The rod maintains a constant angle `theta` with the vertical.
What angle will the rod make with the vertical

Options

A. `cos^(-1)((g)/(omega^(2)l))`
B. `cos^(-1)((2g)/(3omega^(2)l))`
C. `cos^(-1)((3g)/(2omega^(2)l))`
D. `cos^(-1)((3g)/(4omega^(2)l))`

Explanation

`tau=(dL)/(dt)`
`Mg.(L)/(2)sintheta=(mu omega^(2)l^(2))/(6)sin(2theta)`
`rArrcostheta=((3g)/(2omega^(2)l))` or, `theta=cos^(-1)((3g)/(2omega^(2)l))`