Three blocks $A$, $B$ and $C$ of equal mass $m$ are placed on a smooth surface as shown. Coefficient of friction between any block $A, B$ and $C$ is $μ$. The maximum value of mass $D$ so the block $A, B$ & $C$ move without slipping over each other is
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Maximum acceleration of $\mathrm{B}$ of $\mathrm{C}$ can be $\mathrm{mgso}$ that they do not slip with each other or $A$
For the system of $(A+B+C)$
$T=3 m a=3 \mu m g$
For $D$
$M g-T=M a$
$\Rightarrow M g-3 \mu m g=M \mu g$
$\Rightarrow M=\frac{3 \mu m}{1-\mu}$
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