The bob of the simple pendulum is given a vertically downward velocity of magnitude v 0 = 5 m s -1 , as shown in the figure. The string can withstand a maximum tension equal to twice the weight of the bob and during motion the string breaks at an angle 
with the vertical. If 
, where m and n are smallest integers, then, the value of m + n is
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5
Let us assume that the length of the string is 
.........(i)
.........(ii)
T = 2 mg ......... (iii)
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