Question

In the figure shown, all surfaces are smooth. Acceleration of mass $'4m'$ , when the system Is released from rest will be

• A. $\frac{2 g}{9}$
• B. $\frac{4g}{9}$
• C. $\frac{2 g}{3}$
• D. $\frac{g}{3}$

Answer 1

Answer: (B)

$\frac{4g}{9}$

Answer 2

Tension in the string will be $T$ everywhere $mg-T=ma_{y}$ ...(i) $2T=5ma_{x}$ ...(ii) Also, $-a_{x}-a_{x}+a_{y}=0$ or $a_{y}=2a_{x}$ ...(iii) Solving (i), (ii), (iii) $a_{x}=\frac{2 g}{9}$ $a_{y}=\frac{4 g}{9}$