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The masses $ m_i $ are located at the points $ P_i $. Find the moments $ M_x $ and $ M_y $ and the center of mass of the system.

$ m_1 = 5 $ , $ m_2 = 4 $ , $ m_3 = 3 $ , $ m_4 = 6 $ ;

$ P_1 (-4, 2) $ , $ P_2 (0, 5) $ , $ P_3 (3, 2) $ , $ P_4 (1, -2) $

$M_{x}=24, \quad M_{y}=-5 \quad$ center of mass: $\left(-\frac{5}{18}, \frac{4}{3}\right)$

Applications of Integration

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