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Simple Spring Free Body Diagram Question

This is a nice question about Hooke's Law. At the lower left, we see a black spring, and then a maroon compressed version and a green extended version. Note that either compression or extension can be deltaX. The problem shows using free body diagrams and sum of force equations to determine things about the spring. Note that the - sign is missing from the spring force because the free body diagram already determined its direction.

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Uploaded on November 4, 2014
Taken on October 22, 2014