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The sphere at P is given a downward velo...

The sphere at `P` is given a downward velocity `v_(0)` and swings in a vertical plane at the end of a rope of `l=1m` attached to a support at `O`. The rope breaks at angle `30^(@)` from horizontal , knowing that it can withstand a maximum tension equal to three times the weight of the sphere. Then the value of `v_(0)` will be `:`
`(g=pi ^(2) m//s^(2))`

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