A pendulum bob of mass m hangs from one end of a horizontal rod which is rotating about vertical axis with an unknown angular speed `omega` such that the light inextensible string of length l of the pedulum makes a constant angle `theta` with vertical. Find the
Q. angular speed `omega`

Options

A. `omega=sqrt((gtantheta)/(R+lsintheta))`
B. `omega=sqrt((gtantheta)/(R+ltantheta))`
C. `omega=sqrt((gcottheta)/(R+lsintheta))`
D. `omega=sqrt((gtantheta)/(R+lcostheta))`

Answer

A

Explanation

`Tcostheta=mg`
and `Tsintheta=momega^2(R+Lsintheta)` ..(ii)
From equation (i)
`T=mgsectheta`
solving equation (i) and (ii)
`omega=sqrt((gtantheta)/(R+lsintheta))`