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Midterm - Fall 2003 - ME 330 Exam 1 Winter 2004 120 min(100...

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ME 330 Exam 1, Winter 2004 120 min (100 points) Use the water density of ρ = 1000 kg/m 3 and g = 9.8 m/s 2 for your calculations in this exam. Problem 1 (25 Points) The 8 m diameter cylinder weights 30,000 kg and rests on the bottom of a container which has a width of 3 m as shown in Figure 1. Water and oil are pored into the left and right portions of the tank to depths of 2 and 4 m, respectively. Find the magnitudes of the horizontal and vertical components of the minimum force which will keep the cylinder touching the container walls. Problem 2 (40 points) (a) Water flows steadily from a large tank through a well-rounded nozzle of area 0.01 m 2 . After the water jet leaves the nozzle (free jet), it strikes a vertical flat plate attached to a linear spring. The water level h in the tank remains constant at 5 m. Assuming inviscid (no friction), incompressible, steady flow, and a spring constant, k = 5000 N/m, determine the spring deflection x . O 4 m water oil (SG = 0.75) 2 m Figure 1. Cylinder placed on a container partially filled with oil and water
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