Problem

The carton shown in the figure is filled with a dozen eggs, each of mass m. Initially, the...

The carton shown in the figure is filled with a dozen eggs, each of mass m. Initially, the center of mass of the eggs is at the center of the carton, which is the same point as the origin of the Cartesian coordinate system shown. Where is the center of mass of the remaining eggs, in terms of the egg-to-egg distance d, in each of the following situations? Neglect the mass of the carton.

a) Only egg A is removed.

b) Only egg B is removed.

c) Only egg C is removed.

d) Eggs A, B and C are removed.

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