Obtain expressions for the rate of change in mass of the control volume shown, as well as the horizontal and vertical forces required to hold it in place, in terms of \(p_{1}, A_{1}, V_{1}, p_{2}, A_{2}, V_{2}, p_{3}\), \(A_{3}, V_{3}, p_{4}, A_{4}, V_{4}\), and the constant density \(ho\).

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12 4 2 (Inlet) 5 1 (Inlet) 1 P4.64 13 3 (Outlet) 4 (Outlet) 12 5