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A body of mass 2 kg attached at one end of light string is rotated along a vertical circle of radius 2 m. If the string can withstand a maximum tension of 140.6 N, the maximum speed with which the stone can be rotated is

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22 m/s

44 m/s

33 m/s

11 m/s

answer is D.

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Detailed Solution

$T_{\max} = m (\frac{v^{2}}{r} + g)$

$140.6 = 2 (\frac{v^{2}}{2} + 9.8) 140.6 - 19.6 = v^{2} v = 11 m / s$

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