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A particle A of mass m is attached to a ...

A particle `A` of mass `m` is attached to a vertical axis by two stings `PA` and `QA` of lengths `3L` and `4L` , respectively. `PQ=5L`. A rotates around the axis with an angular speed `omega`. The tension in the two strings are `T_(1)` and `T_(2)`.

(i) `T_(1)=T_(2)`
(ii) `3T_(1)-4T_(2)=5mg`
(iii) `4T_(1)+3T_(2)=12momega^(2)L`

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