$A$ block of mass $M$ is placed on $a$ horizontal surface and it is tied with an inextensible string to $a$ block of mass, as shown in figure. A block of mass $m_0$ is also placed on $M$ If friction force exists between the block $M$ and the block $m_0$ and not between the block $M$ and the horizontal surface, then the minimum value of $\mu$ for which the block m remains stationary is
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