If acceleration is present, both the system's and the individual objects' accelerations are the same. Usually, a system analysis is done to figure out the system's acceleration.
An individual object analysis is combined with the system analysis. Any one of the two items is isolated and treated as a distinct, independent entity in the individual object analysis. The forces operating on the item individually are recognized and computed using a free-body diagram. It is customary to analyze each object separately in order to calculate the magnitude of any force acting between the two. One of the two methods that is frequently used to evaluate two-body problems is the dual combination of a system analysis and an individual object analysis.
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