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A rod of mass m and length l is rotating...

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

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))`

Text Solution

Verified by Experts

`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))`
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