Gate ABC is shaped in the form of a circular arc and pivots about point O. The arc extends a width b in the plane of the figure. 6 m Water B R=6m 6m Questions: (a) Determine the horizontal component of the resultant hydrostatic force (per unit width) acting on the gate. (b) Determine the vertical component of the resultant hydrostatic force (per unit width) acting on the gate. (c) Determine the magnitude and direction of the resultant hydrostatic force. (d) Does the line of action of this force pass through point O? Justify your answer.

For the manometer shown in the image, all fluids are at 20°C. If PB- PA = 90 kPa, determine the height H in centimeters. The specific weight of water is 9790 N/m³ and the specific weight of mercury is 133100 N/m³. Meriam red oil, SG = 0.827 Water 18 cm H 35 cm Numeric Response B Mercury

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An infinitely long cylindrical container has a cross section area of radius R, and is placed horizontally with gravity being in the −y direction, as shown in the figure. The cylinder is 50% filled with water (the shaded part), with density ρ. The other 50% of the volume in the cylinder is filled with air with constant pressure of p = p0. The length of the cylindrical container in the axial direction is W. b) Use the surface integral method to compute the hydrostatic force acted on the 4th quadrant of the cylinder wall, as shown by the thickened line in the figure.