Question

In the figure shown find the acceleration of $2\text{kg}$ body and also take ${\mu }_s=0.5$, ${\mu }_k=0.4$$[$Take $g=10{\text{m/s}}^2]$

• A. $1.5{\text{m/s}}^2$
• B. $1{\text{m/s}}^2$
• C. $0.5{\text{m/s}}^2$
• D. $0{\text{m/s}}^2$

Answer 1

The correct option is D $0{\text{m/s}}^2$

FBD of both the blocks

The maximum frictional force $f_{max}={\mu }_{s}N=0.5\times 2\times 10=10\text{N}$
Tension in the string will be $T=1\times g=10\text{N}$
As $f_{max}=T$ hence the frictional force is sufficient enough to hold the system in equilibrium. So the sysem is in rest $(a=0)$