2.2. Forces on Inclined Surfaces

Try these first

1. 1.

   What is the relationship between pressure and depth in a fluid?

   Hint

   Think about how weight is distributed in a fluid.

2. 2.

   Define the center of pressure.

   Hint

   Consider the distribution of pressure across the surface.

3. 3.

   What is the equation for pressure at a certain depth?

   • P = ρg
   • P = ρgh
   • P = g/h

   Hint

   Recall the definition of pressure in a fluid.

4. 4.

   True or False: The center of pressure always lies at the centroid of the surface.

   • True
   • False

   Hint

   Consider how pressure varies with depth.

5. 5.

   A rectangular plate is submerged at an angle of θ = 30 degrees with a width of 4 m, and the top edge is at a depth of h = 2 m. Calculate the resultant force and center of pressure for this plate.

   Hint

   Consider the height and area while applying the necessary equations.

6. 6.

   An isosceles triangle submerged in a fluid exhibits varying pressure on different edges. Calculate the force on the submerged side if the height is 5 m and the base is 3 m.

   Hint

   Don't forget to consider the changing pressure along the submerged triangle.