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. $500\text{N}$
• B. $250\text{N}$
• C. $150\text{N}$
• D. $300\text{N}$

Answer 1

The correct option is B $250\text{N}$

We know that by formula,
$F=(m_1+m_2)({\mu }_{1}g+a_s)$ Where $a_s={\mu }_{2}g$

$(m_1=30\text{kg};m_2=20\text{kg};{\mu }_1=0.2;{\mu }_2=0.3)$

$=\left(50\right)\left(0.5\right)10=250\text{N}$

Hence the maximum force is for the system (Both blocks) to move together is $250\text{N}$