A weight can be hung in any of following four ways by string of same type. In which case is string m

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4-1.Newton's Laws of Motion

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A weight can be hung in any of the following four ways by string of same type. In which case is the string most likely to break?

$A$

$B$

$C$

$D$

Solution

Consider the string makes an angle $\theta$ with the horizontal, Taking $FBD$ of the block, we get $m g=2 T \sin \theta$

$\therefore T=\frac{m g}{2 \sin \theta}$

Now, as the denominator decreases Tension becomes more and the string breaks. It means $\theta$ should be minimum in case of maximum Tension and to break the string.

Thus, $\mathrm{C}$ is the case

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Solution

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