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

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(C) Let the string make an angle $	heta$ with the horizontal. Considering the Free Body Diagram $(FBD)$ of the block,the vertical components of the t

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$C$

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(C) Let the string make an angle $	heta$ with the horizontal. Considering the Free Body Diagram $(FBD)$ of the block,the vertical components of the tension $T$ in the two segments of the string must balance the weight $W$.$2T \sin 	heta = W$$	herefore T = \frac{W}{2 \sin 	heta}$As the angle $	heta$ decreases,$\sin 	heta$ decreases,which causes the tension $T$ in the string to increase.The string is most likely to break when the tension $T$ is maximum,which occurs when $\sin 	heta$ is minimum,i.e.,when $	heta$ is smallest.Comparing the four cases,the angle $	heta$ with the horizontal is smallest in case $C$ (where the string is most nearly horizontal).Therefore,the string is most likely to break in case $C$.

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

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