Question

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.6 kg at (0.0, 3.6) m, and 4.0 kg at (3.3, 0.0) m. Where should a fourth object of 8.2 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?

x =   m

y =  m

Answer 1

Concept - Center of gravity will be at the same place as the center of mass. We find the required position of the fourth object by equating the coordinates of center of mass of the arrangement to zero as shown below,

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