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Show that the angle made by the string w...

Show that the angle made by the string with the vertical in a conical pendulum is given by `costheta=(g)/(Lomega^(2))` , where `L` is the string and `omega` is the angular speed.

Text Solution

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The correct Answer is:
A
`R=Lsintheta`

`Tsintheta=mRomega^(2)=m(Lsintheta)omega^(2)`
:. `T=mLomega^(2)`
Now, `Tcostheta=mg`
:. `costheta=(mg)/(T)=(mg)/(mLomega^(2))=(g)/(Lomega^(2))`
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