In a food processing factory, oranges roll down a sliding chute and land in a hopper (Figure 1). Determine the range of position h and d for the placement of the hopper relative to the end of the chute for inclination angle 0 < 0< 30°. Is it possible to determine the optimum value for the parameters? Submit a drawing that shows the trajectory taken by the oranges. State all values, dimensions, parameters and assumptions used in the analysis.

Fig: 1

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