A uniform rod of length `L` is free to rotate in a vertical plane about a fixed horizontal axis through `B`. The rod begins rotating from rest. The angular velocity `omega` at angle `theta` is given as

Options

A. `sqrt((6g)/L)sintheta`
B. `sqrt((6g)/L)sin.theta/2`
C. `sqrt((6g)/L)cos. (theta)/(2)`
D. `sqrt((6g)/L)cos.theta`

Answer

B

Explanation

`1/2Iomega^(2)"mg"l/2(1-costheta)`
`1/2xx(ml^(2))/3xxomega^(2)="mg"l/2xx2sin^(2). theta/2`
`omega=sqrt(((6"g")/l))(sin. theta/2)`