Question

Find the maximum force $F$ to be applied for the system shown, so that the two blocks move together. Take $g=10{\text{m/s}}^2$.

• A. $2.4\text{N}$
• B. $4\text{N}$
• C. $6\text{N}$
• D. $10\text{N}$

Answer 1

The correct option is A $2.4\text{N}$

We know that, by formula

$F_{\text{max}}=({\mu }_2-{\mu }_1)\frac{m_2}{m_1}(m_1+m_2)\text{g}$
$({\mu }_1=0.1;{\mu }_2=0.3;m_1=5\text{kg};m_2=1\text{kg})$
$=(0.3-0.1)\frac{1}{5}\left(6\right)10=0.2\times \frac{6}{5}\times 10$
$=2.4\text{N}$