1.

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

Answer»

`cos^(-1)((g)/(omega^(2)l))`
`cos^(-1)((2g)/(3omega^(2)l))`
`cos^(-1)((3g)/(2omega^(2)l))`
`cos^(-1)((3g)/(4omega^(2)l))`

SOLUTION :`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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