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This problem explores a two-degree-of-freedom system with two masses m1 and m2 on a frictionless surface, connected by springs of constants k1 and k2. Coordinate systems X1 and X2 are set up. Free body diagrams are drawn for each mass, determining forces by displacements X1 and X2. Newton's second law is applied to m1, yielding the equation m1X1 double dot equals the sum of forces.
