Question

Find the maximum force $F$ to be applied for the system shown, so that the two blocks move together. Given that it accelerates with $2{\text{m/s}}^2$. Take $g=10{\text{m/s}}^2$. $({\mu }_1=0.2,{\mu }_2=0.3)$

• A. $20\text{N}$
• B. $30\text{N}$
• C. $40\text{N}$
• D. $50\text{N}$

Answer 1

The correct option is D $50\text{N}$

We know that , when the block move together the maximum force,
$F_{max}=(m_1+m_2)({\mu }_{1}g+a_s)$
$(m_1=8\text{kg};m_2=2\text{kg};{\mu }_1=0.3;{\mu }_2=0.2)$

Hence, $F=\left(10\right)(0.3\times 10+2)=50\text{N}$