A weightless thread can bear tension up to 3.7kg wt. A stone of mass 500g is tied to it and revolved in a circular path of radius 4m in a vertical plane. If g=10m/s2, then the maximum angular velocity of the stone will be :
A
4rad/s
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B
2rad/s
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C
6rad/s
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D
none of these
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Solution
The correct option is A4rad/s Maximum tension =mv2r+mg 3.7×10=0.5v24+0.5×10 ⇒v=16m/s ∴ω=vr=164=4rad/s.