An object is tied to a string and rotated in a vertical circle of radius r. Constant speed is maintained
along the trajectory. If T max/Tmin= 2, then v? /rg is
(1) 1
(2) 2
(3) 3
(4) 4
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The value of v^2 / rg = 3
Explanation:
mv^2r = Th+mg
where Th is the highest point.
mv^2r = Tλ−mg
Where Tλ is the lowest point .
But , Tmax / Tmin = Tλ / Th = 2
Tλ = 2Th
Th + mg = 2Th − mg
⇒Th=2mg
Hence mv^2r = Th + mg = 3 mg
So , v^2 / rg = 3
Thus the value of v^2 / rg = 3
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