Consider the following mass distribution: 4.1 kg at (?3 m,?10 m), 1.8 kg at(0 m,

Question

Consider the following mass distribution: 4.1 kg at (?3 m,?10 m), 1.8 kg at(0 m,6 m),
and 3.9 kg at (2 m, 0 m). We need to place a fourth mass of 6 kg so that the center of
gravity of the four-mass arrangement will be at (0, 0).
A) Find the x coordinate of such a point. Answer in units of m
B)Find the y coordinate of such a point. Answer in units of m Consider the following mass distribution: 4.1 kg at (?3 m,?10 m), 1.8 kg at(0 m,6 m),
and 3.9 kg at (2 m, 0 m). We need to place a fourth mass of 6 kg so that the center of
gravity of the four-mass arrangement will be at (0, 0).
A) Find the x coordinate of such a point. Answer in units of m
B)Find the y coordinate of such a point. Answer in units of m
A) Find the x coordinate of such a point. Answer in units of m
B)Find the y coordinate of such a point. Answer in units of m

Explanation / Answer

0=(4.1*-3+0+3.9*2+6x)/(4.1+1.8+3.9+6)

x=4.5/6=0.75 m

0=-10*4.1+1.8*6+0+6y

y=30.2/6=5.033m

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