$5\mathrm{.}4\mathrm{.}1$ End of Section Assignment

$1.$ Consider the following hydraulic system. Remember to account for inertiance in the long pipe.

a$)$ Determine a circuit equivalency for this system, clearly state all assumptions.

b$)$ Find an equation relating the pressure at the left side of the long pipe to the pump flow $\backslash ($ w$\_\{$p$\}\backslash ).$ Hint: think carefully about how to combine the ideas of pipe resistance and pipe inertiance!

c$)$ Based on what you found, do you think it is possible to have resonance in a hydraulic system? If so$,$ what would need to be true?