An open rectangular container contains a liquid that has a

Chapter 2, Problem 2.83

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An open rectangular container contains a liquid that has a specific weight that varies according to the equation \(\gamma= c_1 + c_2 h\), where \(c_1\) and \(c_2\) are constants and h is a vertical coordinate measured downward from the free surface. Derive an equation for the magnitude of the liquid force exerted on one wall of the container having a width b and height H and an equation that gives the vertical coordinate of this force.

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