A weightless thread can support tension upto 30 N. A stone of mass 0.5 kg is tied to it and is revolved in a circular path of radius 2 m in a vertical plane. If g = 10 m/s 2 , find the maximum angular velocity of the stone.
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5 rad/s
Sol. Tension is maximum in circular motion in vertical plane at lowest position.
At lowest position
T max – mg = m ω 2 R
⇒ 30 – 0.5 ×10 = 0.5 ω 2 × 2
ω 2 = 
⇒ ω = 5 rad/sec.
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