Forced Oscillation: Understanding Force & Mass

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The discussion revolves around the confusion regarding the application of force on a mass in the context of forced oscillation. The user questions why the gravitational force (mg) is not acting on the mass in the given scenario. They highlight a discrepancy between the assumption that x represents displacement from the equilibrium position versus the unextended length of the spring. This misunderstanding appears to conflict with the diagram provided. Clarifying these points is essential for a better grasp of the problem.
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I don't understand. Why don't have ##mg## force action on this mass. Please explain this problem to me.
 

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Apparently they are assuming that x represents the displacement from the equilibrium position of the mass, rather than the the displacement relative to the unextended length of the spring. That certainly conflicts with what is shown in the diagram.
 
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