Question

INSTRUCTOR: hin Question 1 A wall is placed inside a container as shown in the Figure below. There is water above the wall and air at atmospheric pressure below. The wall is subdivided into 3 segments: 2 straight segments of length L -2m each, and one semi-circular segment with a radius of r Im. The total length of the dashed line A-B is thus 6m. a. b. c. What is the magnitude of the resultant force due to pressure acting on the wall? What is the direction of the resultant force? Where does the resultant force act (x- and y-coordinates relative to point A)? Water に1m 0-30。 Air at 1 atmosphere The"wall" referred to in the text is the dark shaded object between points A and B. The length of the tank and wall into the plane of the plot is Im Ay Additional utornation The centroid of a semi-circle is located in the center in the horizoutal direction (obvious from synumetry) In the vertical directiou it is giveu by the distauce Ay as indicated, where Ay (Ar)/(3) (30 marks)

Answer 1

r,el^kt of fluid akox plote vertical fo lume of Fluid above plate v) cice Width i o S area .. Fy (IO00Kg /ms> (6-224 rns) (9.gr«VS :# -ve indicates dounkad direction ะ-60.9 KN F,-p gZA, _ Horizontal force Force on prejected alco perpndcular to X-OY is = depth of Centroid of projected art a 2-

3 Dilection of Ferce, 下 )= Θ 54.09 50 Fnet maKes from horizon tal a acts below t c) Now Resuttunt force acts at plesgule centre of plate. Let it be (xPIY.) Then and due to srym, pi
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