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Two block of mass m and M are connected ...

Two block of mass m and M are connected means of a metal of a metal wire passing over a frictionless fixed pulley. The area of cross section of the wire is `6.67xx10^(-9)m^(2)` and its breaking stress is `2xx10^(9)Nm^(-2)`. If m = 1kg. Find the maximum value of M in kg for which the wire will not break. `(g=10m//s^(2))`.

Text Solution

Verified by Experts

Mg- T = Ma …(i)
`T - mg = ma` …(ii)
`T = (2Mmg)/((M + m)) rArr (T)/(A) = (2Mmg)/(A(M + m)) = (2mg)/(A (1 + (m)/(M))) = 2 xx 10^(9)`
`rArr M = 1.86 kg`
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