Question: Problem 1 (40 points) A liquid is flows into a conical tank; the outflow is proportional to the square root of the level h. a)

Problem 1 (40 points) A liquid is flows into a conical tank; the outflow is proportional to the square root of the level h. a) (30 points) Derive the equation(s) describing the dynamics of this system. Please state clearly the assumptions you make. b) (10 points) Perform a DOF analysis on this model
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