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  4. A weight mg is suspended from the middle of a rope whose ends are at same level. If the rope is no longer horizontal, the minimum tension required to completely straighten the rope will be

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Q. A weight $mg$ is suspended from the middle of a rope whose ends are at same level. If the rope is no longer horizontal, the minimum tension required to completely straighten the rope will be

Jharkhand CECEJharkhand CECE 2013

Solution:

The given situation can be shown as from figure
$ 2T\,\sin \theta =mg $ or $ T=\frac{mg}{2\sin \theta } $
when rope is straight,
$ \,\theta ={{0}^{o}} $
$ \therefore $ $ T=\frac{mg}{2\sin \theta }=\infty $ (infinite)

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