A 8-m-long quarter-circular gate of radius, x=  4 m and of negligible weight is hinged about its upper edge A, as shown in the figure. The gate controls the flow of water over the ledge at B. Determine horizontal force on the vertical surface in kN. Take the density of water to be 1000 kg/m3.

5. Water is filled in a flask upto a height of 20 cm. The bottom of the flask is circular with radius 10 cm. If the atmospheric pressure is 1.013 × 105 Pa, find the force exerted by the water on the bottom. Take 8 = 10 ms and density of water = 1000 kgm™³.

Two-thirds of x m high, 10 m wide rectangular plate emerged in the freshwater channel, as shown in the figure. The plate is hinged about a horizontal axis along its upper edge through point A and is restrained from opening by a fixed ridge at point B. Determine the hydrostatic force in kN.    P.S: The drawing is not drawn on an accurate scale.Here, x=9 m

A container has a large cylindrical lower part with a long thin cylindrical neck. The lower part of the container holds 12.5 m3 of water and the surface area of the bottom of the container is 5.00 m2. The height of the lower part of the container is 2.50 m and the neck contains a column of water 8.50 m high. The total volume of the column of water in the neck is 0.200 m3. What is the magnitude of the force exerted by the water on the bottom of the container?

The vertical surface of a reservoir dam that is in contact with the water is 120 m wide and 12 m high. The air pressure is one atmosphere. Find the magnitude of the total force acting on this surface in a completely filled reservoir.

A pressure-pump has a horizontal tube of cross-sectional area 10 cm2 for the outflow of water at a speed of 20m/s. The force exerted on the vertical wall just in front of the tube which stops water horizontally flowing out of the tube, is: [given: density of water = 1000kg/m3]