4. Finding yR and xR

Try these first

1. 1.

   What is the formula for pressure at a certain depth in a fluid?

   Hint

   Think about how pressure increases with depth.

2. 2.

   Define buoyant force in your own words.

   Hint

   Consider what happens when you put something in water.

3. 3.

   What does the resultant force FR on a submerged surface depend on?

   • Only area
   • Pressure and area
   • Depth only

   Hint

   Think about how both pressure and area affect the force.

4. 4.

   Is the center of pressure always at the centroid of the submerged area?

   • True
   • False

   Hint

   Consider how pressure variations affect this.

5. 5.

   You have a submerged rectangular surface with area A at a depth of h in water. Calculate the resultant force and location of the center of pressure if the second moment of inertia is known.

   Hint

   Make sure to understand how to derive each component.

6. 6.

   For a triangular surface submerged in water, with the top at depth h and a base width b, derive the equation for the center of pressure including the necessary integration steps.

   Hint

   Consider how the triangle’s height affects the center of pressure calculation.