The block has unreliable power, it will not move...

Three blocks \(A,~B,C\) each of mass \(m\) are arranged in pulley string system as shown in figure. All pulleys are massless and frictionless , while all strings are light and inextensible. Coefficient of kinetic friction between block \(A\) and horizontal surface is equal to \(0.5\) and force \(P\) acts on it. The value of \(\dfrac{p}{mg}\) for which block \(C\) does not move, is equal to?

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