find the location of the center of mass of the following 3 mass system.

Question

mass location

m1=1.0kg (0,0)

m2=2.0kg (1.0m,1.0m)

m3=3.0kg (2.0m,-2.0m)

Answer 1

find x-center and y-center

1(0 - x) + 2(1 - x) + 3(2 - x) = 0

8 = 6 x ... x = 4/3

1(0 - y) + 2(1 - y) + 3(-2 - y) = 0

-3 = 6 y ... y = -1/2