A ball is projected with horizontal velocity $v_{0} = 9 gR$ at the bottom most point attached with inextensible string of length $R$ and fixed at $O$ as shown. Tension in the string in horizontal position is

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v 2 = v 0 2 ​ − 2 g R ( 1 − cos θ ) v 2 = 7 g R + 2 g R cos θ T − m g cos θ = R m v 2 ​ T = 7 m g + 3 m g cos θ v h ​ = 7 g r ​ ⇒ T = 7 mg

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