Question

In the arrangement shown, the acceleration of mass $2m$ is

• A. $\frac{2}{3}$$g$
• B. $\frac{2}{5}$$g$
• C. $\frac{2}{8}$$g$
• D. $\frac{1}{3}$$g$

Answer 1

The correct option is A $\frac{2}{3}$$g$


$2mg-T=2ma.....\left(1\right)2T-mg=\frac{ma}{2}......\left(2\right)By\left(1\right)and\left(2\right)wegeta=\frac{2g}{3}$