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  • Two blocks of masses m and M are connected by means of a metal wire of cross-sectional area A passing over a frictionless fixed pulley as shown in the figure. The system is then released. If M=2m,

Two blocks of masses m and M are connected by means of a metal wire of cross-sectional area A passing over a frictionless fixed pulley as shown in the figure. The system is then released. If M=2m, then the stress produced in the wire is : 

Option: 1

\frac{2mg}{3A}
 


Option: 2

\frac{4mg}{3A}


Option: 3

\frac{mg}{A}

 


Option: 4

\frac{3mg}{4A}


Answers (1)

best_answer

 

 

 

 

\text { Tension in the wire, } T =\left(\frac{2 m M}{m+M}\right) g \\ \text { Stress }=\frac{\text {Force} / \text {Tension}}{\text {Area}}=\frac{2 m M}{A(m+M)} g \\ (M=2 m \text { given }) \\ Stress=\frac{2(m \times 2 m) g}{A(m+2 m)}=\frac{4 m^{2}}{3 m A} g=\frac{4 m g}{3 A}

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