An object of mass $150 k g$ is to be lowered with the help of a string whose breaking strength is $100 k g . w t$ . What should be the minimum acceleration of the body so that the string may not break?

2 m s^{- 2}

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4 m s^{- 2}

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3.33 m s^{- 2}

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4.5 m s^{- 2}

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Solution

The correct option is C $3.33 m s^{- 2}$
The breaking tension in the string, $T = 100 k g . w t = 100 g = 100 \times 10 = 1000 N$
From FBD, $m_{2} a = m_{2} g - T$
or $a = g - \frac{T}{m_{2}} = 10 - \frac{1000}{150} = 3.33 m / s^{2}$

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