A weightless thread can bear tension upto 37N. 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
2rad s−1
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B
4rad s−1
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C
8rad s−1
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D
16rad s−1
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Solution
The correct option is B4rad s−1 Maximum tension in the string will be at the lowest point of the circular path, where the tension will balance weight as well as provide the centrifugal force for circular motion.
The force equation at the bottom most point T−mg=mω2r ⇒mω2r=T−5 For maximum angular speed, the tension must be maximum i.e. 37N Mass of the stone is 500g=12kg