For the given system, what is the strain in w | vedclass

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(C) Let the total mass of the system be $M = m + m + m = 3m$. The driving force is the weight of the hanging block, $F = mg$.The acceleration of the s

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$\frac{mg}{3aY}$

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(C) Let the total mass of the system be $M = m + m + m = 3m$. The driving force is the weight of the hanging block, $F = mg$.The acceleration of the system is $a_{sys} = \frac{F}{M} = \frac{mg}{3m} = \frac{g}{3}$.Wire $W_1$ pulls the leftmost block of mass $m$. The tension $T_1$ in $W_1$ provides the force for its acceleration:$T_1 = m 	imes a_{sys} = m 	imes \frac{g}{3} = \frac{mg}{3}$.Stress in wire $W_1$ is $\sigma = \frac{T_1}{a} = \frac{mg}{3a}$.Strain is $\epsilon = \frac{\sigma}{Y} = \frac{mg}{3aY}$.(Note: If the question asks for strain in $W_2$, the tension $T_2$ pulls two blocks of mass $2m$, so $T_2 = 2m 	imes \frac{g}{3} = \frac{2mg}{3}$, and strain is $\frac{2mg}{3aY}$. Given the options, the question refers to $W_1$.)

For the given system, what is the strain in wire $W_1$? Assume the wire $W_1$ connects the two blocks on the table, and wire $W_2$ connects the second block to the hanging mass.

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