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A block B of mass $M_{B} = π k g$ placed on rough horizontal surface is connected with block A with the help of string(ideal). The string passes over fixed horizontal cylinder. The coefficient of friction between block B and ground as well as between string and cylinder is $μ = \frac{7}{11}$ . Find the minimum mass of block A in kg so that block B starts sliding. (Take value of $π = \frac{22}{7}$ and $e = 2.72$ )

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Detailed Solution

$T_{1} = μ M_{B} g T_{2} = m g$

Due to friction on pull in limiting case, when block B is about to slide
$T_{2} = T_{1} e^{μ \frac{π}{2}}$
Solving equation $m = 2 k g$

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