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A pendulum bob of mass m hangs from one ...

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`

A

`omega=sqrt((g(tantheta))/(R+lsintheta))`

B

`omega=sqrt((g(tantheta))/(R+l(tantheta)))`

C

`omega=sqrt((gcottheta)/(R+lsintheta))`

D

`omega=sqrt((g(tantheta))/(R+lcostheta))`

Text Solution

Verified by Experts

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