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

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(C) Let the mass of the block on the table be $m_1 = 2m$ (the two blocks connected by $W_2$) and the hanging mass be $m_2 = m$.The tension $T$ in the

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$\frac{mg}{3aY}$

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(C) Let the mass of the block on the table be $m_1 = 2m$ (the two blocks connected by $W_2$) and the hanging mass be $m_2 = m$.The tension $T$ in the wire $W_2$ is the force pulling the block of mass $m$ on the left. The equation of motion for the system is $T = m_2 a_{sys}$,where $a_{sys} = \frac{m_2 g}{m_1 + m_2} = \frac{mg}{2m + m} = \frac{g}{3}$.Thus,$T = m 	imes \frac{g}{3} = \frac{mg}{3}$.Alternatively,considering the block of mass $m$ on the left,the tension $T$ in wire $W_2$ provides the force to accelerate it: $T = m a_{sys} = m(\frac{g}{3}) = \frac{mg}{3}$.Stress in wire $W_2$ is $\sigma = \frac{T}{a} = \frac{mg}{3a}$.Strain is given by $\epsilon = \frac{\sigma}{Y} = \frac{mg}{3aY}$.

For the given system,what is the strain in wire $W_2$?

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