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Question
The maximum and minimum tension in the string whirling in a circle of radius 2.5 m with constant velocity are in the ratio 5 : 3 then its velocity is 
Options:
A .  √98 m/s
B .  7 m/s
C .  √490 m/s
D .  √4.9
Answer: Option A
:
A
In this problem it is assuemed that particle although moving in a vertical loop but its speed remain constant.
Tenstion at lowest point Tmax = mv2r + mg
Tension at highest point Tmin = mv2r - mg
TmaxTmin = mv2r+mgmv2rmg = 53
by solving we get , v=4gr = 4×9.8×2.5 = 98 m/s

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