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{"ops":[{"insert":"A car plunges into a lake (water density \ud835\udf0c = 1000 kg m"},{"attributes":{"script":"super"},"insert":"-3"},{"insert":"). Using the steps below, calculate the resultant hydrostatic force on the door, and the distance from the bottom of the door to the point at which the force acts. Discuss if someone could open the door and describe the what the effect would be of opening a window. Note that the door is hinged at \ud835\udc36\ud835\udc37. \n\u00a0\n\n\u00a0\n\u00a0\u00a0\u00a0\u00a0i. \u00a0\u00a0\u00a0\u00a0Using the standard table method, find the \na.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Position of the centroid (\ud835\udc65"},{"attributes":{"script":"sub"},"insert":"\ud835\udc50"},{"insert":", \ud835\udc66"},{"attributes":{"script":"sub"},"insert":"\ud835\udc50"},{"insert":"), its depth \u210e"},{"attributes":{"script":"sub"},"insert":"\ud835\udc50"},{"insert":" and \nb.\u00a0\u00a0\u00a0\u00a0\u00a0second moment of area \ud835\udc3c"},{"attributes":{"script":"sub"},"insert":"\ud835\udc50"},{"insert":" about the horizontal axis through the centroid \nof the door by splitting it into rectangles, triangles and quarter-circles. \n\tii. \u00a0\u00a0\u00a0\u00a0Compute the hydrostatic force on the door using \ud835\udc39 = \ud835\udf0c \ud835\udc54 \u210e"},{"attributes":{"script":"sub"},"insert":"\ud835\udc50"},{"insert":" \ud835\udc34. iii. \u00a0Find the depth of the centre of pressure using \u210e"},{"attributes":{"script":"sub"},"insert":"\ud835\udc43 "},{"insert":"= \u210e"},{"attributes":{"script":"sub"},"insert":"\ud835\udc50 "},{"insert":"+ "},{"attributes":{"script":"sub"},"insert":"\u210e"},{"attributes":{"script":"super"},"insert":"\ud835\udc3c"},{"insert":"\ud835\udc50"},{"attributes":{"script":"super"},"insert":"\ud835\udc50"},{"attributes":{"script":"sub"},"insert":"\ud835\udc34"},{"insert":".\u00a0\n"}]}

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