1.4. Forces on curved surfaces

Try these first

1. 1.

   Define the vertical component of force on a curved surface.

   Hint

   Consider the volume and density of the liquid.

2. 2.

   What determines the horizontal component of force on a submerged curved surface?

   Hint

   Think about where pressure acts.

3. 3.

   What is the vertical force on a curved surface equal to?

   • Weight of liquid above
   • Pressure at the centroid
   • Both A and B

   Hint

   Think about how weight and depth are related.

4. 4.

   True or False: The horizontal force acting on a curved submerged surface is equal to the total liquid weight above it.

   • True
   • False

   Hint

   Remember that pressure differs from total weight.

5. 5.

   A complex curved surface has multiple liquid layers above it. Calculate the resultant force and its point of action, given densities of each layer and depths.

   Hint

   Break down the problem into manageable parts.

6. 6.

   Design a curved surface gate that must support a specific pressure while submerged at a certain depth. Calculate the forces involved and potential materials needed.

   Hint

   Research material properties for correct applications.