CoG center

Find the position of the center of gravity of a system of four mass points having masses, m1, m2 = 2 m1, m3 = 3 m1, and m4 = 4 m1, if they lie at the vertices of an isosceles tetrahedron. (in all cases, between adjacent material points, the distance is a=1. )

Correct answer:

x =  -0.05
y =  -0.0816
z =  0.7348

Step-by-step explanation:

y=m1 Ay+m2 By+m3 Cy+m4 Dym=1 0+2 0.5443+3 (0.2722)+4 (0.2722)10=0.0816
z=m1 Az+m2 Bz+m3 Cz+m4 Dzm=1 0+2 0.8165+3 0.8165+4 0.816510=0.7348

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