Neglect friction. Find accelerations of $m,2m$ and $3m$ as shown in the figure. The wedge is fixed

Writing equations of motion,

$$\begin{gathered} T-N=3m{a}_1 \\ N=2m{a}_1 \\ 2mg-T=2m{a}_2 \\ T-\frac{mg}{2}=m{a}_3 \end{gathered}$$

From constraint equation,

$a_1=a_2-a_3$

We have five unknowns. Solving the above five equations, we get

$a_1=\frac{3}{17}g, a_2=\frac{19}{34}g$ and $a_3=\frac{13}{34}g$

Acceleration of $m=a_3=\frac{13}{34}g$,

Acceleration of $2m=\sqrt{a_1{}^2+{a_2}^2}=\frac{\sqrt{397}}{34}g$

and acceleration of $3m=a_1=\frac{3}{17}g$