A fluid jet strikes a vane and is deflected through angle (theta) (Figure P3.22). For a given

Question:

A fluid jet strikes a vane and is deflected through angle $\theta$ (Figure P3.22). For a given jet (fluid, area, and velocity are fixed), what deflection angle will cause the greatest $x$-component of force between the fluid and vane? You may assume an incompressible fluid and no friction along the vane. Set up the general problem and then differentiate to find the maximum.

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