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JEE Main 2013 (25 Apr, Shift 1) · Connected Bodies & Pulleys

Connected Bodies & Pulleys question from JEE Main 2013 (25 Apr, Shift 1)

Q39JEE Main 2013 · 25 APR · SHIFT 1Medium

Connected Bodies & Pulleys

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:

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Answer: (b)

Tension in an Atwood machine: $T = \dfrac{2mMg}{m+M}$ .
With $M = 2m$ : $T = \dfrac{2m(2m)g}{3m} = \dfrac{4mg}{3}$
Stress $= \dfrac{T}{A} = \dfrac{4mg}{3A}$ , so the answer is (b).

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