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. $150\text{N}$
• B. $10\text{N}$
• C. $30\text{N}$
• D. $15\text{N}$

Answer 1

The correct option is D $15\text{N}$

As the ground is smooth hence we take ${\mu }_1=0$ and the value of ${\mu }_2=0.3$.
$m_1=3\text{kg};m_2=2\text{kg}$
By the formula,
$F=(m_1+m_2)({\mu }_{1}g+a_s)=(m_1+m_2)a_s$ and we know that $a_s={\mu }_{2}g$
$F=(3+2)\left(0.3\right)10=15\text{N}$