A weightless string can support a tension up to 30 N . A stone of mass 0.5 kg is tied to its one end and is revolved in a circular path of radius 2 m in a vertical plane. Then the maximum angular velo

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A weightless string can support a tension up to 30 N . A stone of mass 0.5 kg is tied to its one end and is revolved in a circular path of radius 2 m in a vertical plane. Then the maximum angular velocity of the stone will be (acceleration due to gravity g = 10 m / s 2 )

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Considering force balance: ​ T m a x ​ = m ω m a x 2 ​ r + m g ⇒ m T max ​ ​ = ω m a x 2 ​ r + g ⇒ 0.5 kg 30 N ​ − 10 m / s 2 = ω m a x 2 ​ r ⇒ ω m a x ​ = 2 50 ​ ​ = 5 rad / s ​

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