The maximum and minimum tensions in the string used to rotate a body in a vertical circle are in the ratio 19:1. The ratio of maximum to minimum speeds of the body

we know Tmax-Tmin=6mg given TmaxTmin=19 Tmax=19Tmin substituting 18Tmin=6mg Tmin=mg3 mv22l-mg=mg3   ;      mv22l=4mg3   ⇒1 then Tmax=19mg   3   =mv12l+mg mv12l=16mg3⇒2 dividing 2 by 1 v1v2=21