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. $50\text{N}$
• B. $100\text{N}$
• C. $150\text{N}$
• D. $200\text{N}$

Answer 1

The correct option is C $150\text{N}$

Given,
$m_1=40kg,m_2=10kg,{\mu }_1=0.1,{\mu }_2=0.2$
We know that by formula,
$F_{max}=(m_1+m_2)({\mu }_{1}g+a_s)$ and $(a_s={\mu }_{2}g)$

$F_{max}=\left(50\right)\left(0.3\right)10=150\text{N}$
Hence the maximum force which can be applied to the system is $\text{150 N}$