Question 3): For figure shown below, estimate: 1. The resultant hydrostatic force (FR) acting on the curve gate AB if the gate width=1 m. 2. The direction of FR (0) 1 m Water 1m B

5. 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 A R = 6m 6 m 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.

Question 2: For figure shown below, estimate the resultant hydrostatic force acts on the curve gate AB if the gate width = 1 m. 4m Water

A trough with a trapezoidal cross-section, as shown in the figure, contains vegetable oil with density 935 kg/m³. (Use g = 9.8 m/s² for the acceleration due to gravity.) 2m → T 3 m 4 m 1 m (a) Find the hydrostatic force (in N) on one end of the trough if it is completely full of oil. N (b) Compute the force (in N) on one end if the trough is filled to a depth of 1.8 m. (Round your answer to two decimal places.) N