The door to an airplane hangar consists of two uniform sections, which are hinged at the middle as shown in Fig. is attached to a bar along the bottom edge of the door. Smooth rollers at the ends of the bar C run in a smooth ver- tical channel. If the door is 30 ft wide, 15 ft tall, and weighs 1620 lb, . The door is raised by means of a cable, which Plot P, the force required to hold the door open, as a function of the door opening height h (0.5 shs 14.5 ft). 7.5 ft B 7.5 ft

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The iceberg idealization may becomeunstable if its sides melt and its height exceeds its width. InFig.  suppose that the height is L and the depth intothe paper is L , but the width in the plane of the paper isH , L. Assuming S =0.88 for the iceberg, fi nd the ratio H / Lfor which it becomes neutrally stable (about to overturn).

A rectangular gate of width "a", length "b" and inclined at an angle "A", with water on one side is shown in the figure. Use a=9.5 ft, b=5ft, z=6.5ft and angle A=55 degrees. (a) Determine the location of the center of the gate from the water surface along the plane of the gate (in feet). (b) Determine the eccentricity (in feet). (c) Determine the location of the center of pressure from the water surface along the plane of the gate (in feet). (d) Determine the vertical distance (in feet) of the center of the gate from the water surface. (e) Determine the total resultant force (in lb) acting on the side of the gate.

Question #4 A crane is used to lower weights into the sea (p = 1025 kg/m³) for an underwater construc- tion project (see figure below). You are required to calculate the tension in the rope of the crane due to a rectangular 0.4-m x 0.4-m x 3-m concrete block (p= 2300 kg/m³) when: 41. Rope Concrete block W Concrete block W Air Water (A) suspended in the air. (B) completely immersed in water. (C) Does the tension of the rope decreased in water? Why? How much reduction in percentage? [2 marks] (4 marks] (4 marks]

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An underwater pipeline must be laid 40 meters deep. The density of sea water is 1 025 kg/m³. The pipe has a mass of 40 kg per meter and an outside diameter of 300 mm. The pipe must be anchored every 5 m to the bottom of the sea. (a) What will the vertical force be on each anchor if the 4.3 pipe is empty. (b) What external pressure must the pipe be able to withstand if it is not to be crushed. [1 592 N, 402,2 kPa]