2m 85cm Water, 20°C 4m Hg. 20°C A 3m B Fig

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The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the vertical component Fy of the hydrostatic force acting on the curved surface AB if k = 2, R = 0.5 m, p = 1000 kg/m³ and the gravitational acceleration g = 9.81 m/s². Note that Fy is positive if it acts upwards and is negative if it acts downwards. Geometric properties of a half-parabola are also given below. Fy= 1. [-6.7362, -6.3438 kN. 4R h ထမ 35 b Liquid Р X Half-Parabola BR KR A = 3bh 1xc=²bh³ |yxc=hb³ |yy,c=²7/531 2 h63

Consider the pressure and force acting on the pool retaining a reservoir of water. Suppose the pool is 50m wide and the water is 8m deep, as illustrated below.   (a) What is the Gauge pressure on the dam due to the water?   (b) What is the absolute pressure at10m depth of the dam?   (C) Calculate the force exerted against the dam. Density of water is 1000kg/m3.

Panel BC in Fig.  is circular. Compute ( a ) the hydrostaticforce of the water on the panel, ( b ) its center of pressure,and ( c ) the moment of this force about point B .