A body is moving in a vertical circle of radius 'r'. If the ratio of maximum to minimum speed's is sqrt3 :1. Then find the ratio of maximum to minimum tensions in the string.
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Explanation:
Let v1 and v2 be the velocities at the lowest and the highest points.
∴v2v1=13
Conserving energy between the lowest and highest points gives
v12=v22+2gh
⇒3v22=v22+2gh
⇒v22=gh
⇒v12=3gh
h is distance between the lowest and the highest points which is 2r.
h=2r
Tensions at the lowest and highest point
T1=rmv12+mg
T2=rmv22−mg
⇒T2T1=
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