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Q. Find the friction force between the blocks in the figure-$2.173$:Physics Question Image

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Solution:

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Limiting friction between blocks is
$f_{\max } =\mu N_{1}$
$=0.3 \times 20$
$=6 \,N$
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To start sliding between blocks we use
$f_{\max }=2\left(\frac{F}{6}\right)=6$
$\Rightarrow F=18 N$
$\Rightarrow$ at $F=15 N$ both blocks move together at
$a=\frac{F}{6}=\frac{5}{2} m / s ^{2}$
$\Rightarrow f=2 a=2 \times \frac{5}{2}=5 \,N$

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