Three blocks, each of same mass m, are connected with wires W1 and W2 of same cross- sectional area a and Young's modulus Y. Neglecting friction the strain developed in wire W2 is
A
23mgaY
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B
32mgaY
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C
13mgaY
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D
3mgaY
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Solution
The correct option is A23mgaY If the system moves with acceleration a and T is the tension in the string W2 then by comparing this condition from standard case T=m1m2m1+m2g
In the given problem m1=(m+m)=2m and m2=m ∴ Tension = m.2m.gm+2m=23mg ∴ Stress = Ta=23amg and Strain=StressYoung's modulus = 23mgaY