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. $1.5\text{N}$
• B. $25\text{N}$
• C. $5\text{N}$
• D. $2.5\text{N}$

Answer 1

The correct option is D $2.5\text{N}$

We know that in this type of cases the formula for the maximum force is,

$F_{\text{max}}=({\mu }_2-{\mu }_1)\frac{m_2}{m_1}(m_1+m_2)\text{g}$
$=(0.2-0.1)\times \frac{2}{8}\times (8+2)10$
$=0.1\times \frac{1}{4}\times 100=2.5\text{N}$

Hence the mximum force in this case is $2.5\text{N}$