Find the velocity of centre of mass of the system shown in the figure

${\mathrm{m}}_1{\mathrm{v}}_1 = 1\times 2\hat{\mathrm{i}} = 2\hat{\mathrm{i}}$
 

${\mathrm{m}}_2{\mathrm{v}}_2 = 2 \times 2 \cos 30\hat{\mathrm{i}} - 2 \mathrm{x} 2 \sin 30\hat{\mathrm{j}} = 2\times (3 \widehat{\mathrm{i} }- 2\hat{\mathrm{j}})$ 

$\overline{\mathrm{x}}=\frac{{\mathrm{m}}_1{\mathrm{v}}_1+{\mathrm{m}}_2{\mathrm{v}}_2}{{\mathrm{m}}_1+{\mathrm{m}}_2}=\frac{2\hat{\mathrm{i}}+2\sqrt{3}\hat{\mathrm{i}}-2\hat{\mathrm{j}}}{2+1}$

$=\left(\frac{2+2\sqrt{3}}{3}\right)\hat{\mathrm{i}}-\frac{2}{3}\hat{\mathrm{j}}$