Assuming \\\\(D\\\\) as the origin. \\\\(DC\\\\) as x-axis and \\\\(DA\\\\) as y-axis we have\\\\(m_1 = 1 kg, (x_1, y_1) = (0, 1 m)\\\\)\\\\(m_2 = 2 kg, (x_2, y_2) = (1 m, 1 m)\\\\)\\\\(m_3 = 3 kg, (x_3, y_3) = (1 m, 0)\\\\)\\\\(m_4 = 4 kg, (x_4, y_4) = (0, 0)\\\\)Coordination of their \\\\(CM\\\\) are calculated as follows.\\\\(x_{CM} = \\dfrac{m_1x_1 + m_2x_2 + m_3x_3 + m_4x_4}{m_1 + m_2 + m_3 + m_4}\\\\)\\\\(= \\dfrac{(1)(0) + 2(1) + 3(1) + 4(0)}{1 +2 +3 +4}\\\\)\\\\(\\dfrac{5}{10} = \\dfrac{1}{2}m= 0.5 m\\\\)Similarly, \\\\(y_{CM} = \\dfrac{m_1y_1 + m_2y_2 + m_3y_3 + m_4y_4}{m_1 + m_2 + m_3 + m_4}\\\\) \\\\(= \\dfrac{(1)(1) + 2(1) + 3(0) + 4(0)}{1 + 2 +3 + 4}\\\\)\\\\(= \\dfrac{3}{10}m = 0.3 m\\\\)\\\\(\ herefore (x_{CM}, y{CM}) = (0.5 m, 0.3 m)\\\\)