Calculate the vertical acceleration of the system mass center and the individual vertical accelerations of spheres 1 and 2 for the cases (a) α = β and (b) α ≠ β. Each sphere has a mass of 2 kg, and the 50-N force is applied vertically to the junction O of the two light wires. The spheres are initially at rest. State any assumptions.

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F = 50 N α β 2 kg 1 2 2 kg