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A rope of mass m is hung from a ceiling....

A rope of mass m is hung from a ceiling. The centre point is pulled down with a vertical force F. The tangent to the rope at its ends makes an angle `alpha` with horizontal ceiling. The two tangents at the lower point make an angle of `theta` with each other. Find `theta` .

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The correct Answer is:
`theta = 2 tan^(-1) [ (1 + (mg)/(F)) "cot"alpha]`
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