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Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg...

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.7 kg at (0.0, 3.4) m, and 4.0 kg at (3.4, 0.0) m. Where should a fourth object of 6.8 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

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Answer #1

Use the definition of center of mass to find the required coordinates of the fourth object. The center of gravity and center of mass will coincide.

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