- #1

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## Homework Statement

## The Attempt at a Solution

So I've been interpreting the information in the problem as follows: [itex]F_{damping} = 4u' = μ(u')[/itex], [itex]k = \frac{4N}{m}[/itex]. If the system is critically damped then [itex]μ = 2\sqrt{km} = 2\sqrt{\frac{4N}{m}m} = 2\sqrt{4N}[/itex]. Now it seems as though the spring constant is cancelling out my mass, so if [itex]μ =4[/itex] then simply force [itex]N =1[/itex] and the system is critically damped for any mass. But then, this doesn't seem quite right. I must be misunderstanding the problem.