# Center of gravity

The mass points are distributed in space as follows - specify by coordinates and weight. Find the center of gravity of the mass points system:

A1 [1; -20; 3] m1 = 46 kg
A2 [-20; 2; 9] m2 = 81 kg
A3 [9; -2; -10] m3 = 59 kg
A4 [3; 18; -14] m4 = 91 kg
A5 [6; -12; -19] m5 = 48 kg
A6 [5; 4; -18] m6 = 72 kg
A7 [-14; 3; 19] m7 = 21 kg

Correct result:

x0 =  -0.9952
y0 =  1.2847
z0 =  -6.7129

#### Solution:

${y}_{0}=\frac{{M}_{y}}{m}=\frac{537}{418}=1.2847$
${z}_{0}=\frac{{M}_{z}}{m}=\frac{\left(-2806\right)}{418}=-\frac{1403}{209}=-6.7129$

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