A weightless thread can bear tension upto 37 N . A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 ms − 2 , then the maximum angular velo

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A weightless thread can bear tension upto 37 N . A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 ms − 2 , then the maximum angular velocity of the stone will be

TestHub · Accepted Answer

Maximum tension in the thread is given by or T m a x ​ = m g + r m v 2 ​ or T m a x ​ = m g + m r ω 2 ( ∵ v = r ω ) or ω 2 = m r T m a x ​ − m g ​ Given, ​ T m a x ​ = 37 N , m = 500 g = 0.5 kg , g = 10 ms − 2 , r = 4 m ∴ ω 2 = 0.5 × 4 37 − 0.5 × 10 ​ = 2 37 − 5 ​ or ω 2 = 16 or ω = 4 rad s − 1 ​

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