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 (accelerati

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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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Correct answer: D. 5 rad / s

Considering force balance: aligned & T_ =m _ ^2 r+m g & T_ max m = _ ^2 r+g & 30 ~N 0.5 ~kg -10 ~m / s ^2= _ ^2 r & _ = 50 2 =5 rad / s aligned

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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