A weight W can be hung in any of the followin | vedclass

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(C) Let the tension in the string be $T$. The weight $W$ is supported by two segments of the string making an angle $	heta$ with the vertical.By reso

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$C$

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(C) Let the tension in the string be $T$. The weight $W$ is supported by two segments of the string making an angle $	heta$ with the vertical.By resolving the forces in the vertical direction,we have $2T \cos 	heta = W$,which gives $T = \frac{W}{2 \cos 	heta}$.The string is more likely to break when the tension $T$ is maximum.Since $T \propto \frac{1}{\cos 	heta}$,the tension $T$ increases as $\cos 	heta$ decreases,which means $T$ increases as the angle $	heta$ increases.Comparing the four cases,the angle $	heta$ between the string segments and the vertical is largest in case $C$.Therefore,the tension is maximum in case $C$,making it the most likely case for the string to break.

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

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