In an industrial process, the sprayer in the figure shown below projects a strea

Question

In an industrial process, the sprayer in the figure shown below projects a stream of liquid onto the horizontal surface. An engineer wants to place the sprayer at a horizontal position, xe, that maximizes its coverage of the horizontal surface, i.e., she wants to maximize the distance xs – xe reached by the spray. The angle q0 can be varied but the spray velocity v0 = 3 m/s is fixed. The dimensions H = 0.2 m, L = 0.12 m, and h = 0.06 m. If the droplets of the spray are treated as projectiles, what is the desired position, xe? Hint: Find the angle q0 that just clears H at xe and find xs. Plot  xs – xe a s a function of xe and find the maximum.

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