Two block $(A)\,2\,kg$ and $(B)\,5\,kg$ rest one over the other on a smooth horizontal plane. The cofficient of static and dynamic friction between $(A)$ and $(B)$ is the same and equal to $0.60$. The maximum horizontal force that can be applied to $(B)$ in order that both $(A)$ and $(B)$ do not have any relative motion : $(g = 10\,m/s^2)$
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Maximum acceleration of block $A,$
$a_{A_{\max }}=\mu g=6 \mathrm{m} / \mathrm{s}^{2}$
$ \text { Therefore required force, } F_{\max } =(2+5)(6)$
$=42 \mathrm{N}$
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