11.7. Applications of Stability Concepts

Try these first

1. 1.

   What is the principle behind buoyancy?

   Hint

   Think of Archimedes' discovery while swimming.

2. 2.

   What does 'center of buoyancy' refer to?

   Hint

   Imagine where that upward push comes from.

3. 3.

   What is the purpose of Archimedes' Principle?

   • To explain gravity
   • To define buoyancy
   • To describe fluid pressure

   Hint

   Recall the principle discovered in a bathtub.

4. 4.

   True or False: A metacenter below the center of gravity indicates stable equilibrium.

   • True
   • False

   Hint

   Think about which position leads to capsizing.

5. 5.

   A boat is designed with a center of gravity 1 meter below the waterline. If the metacentric height is calculated to be 0.5 meters, what does this suggest about the boat's stability?

   Hint

   Visualize the metacenter's position and role in stability.

6. 6.

   If a submerged object has a volume of 2 cubic meters and the fluid density is 1000 kg/m3, calculate the buoyant force acting on the object.

   Hint

   Utilize the buoyant force formula you've learned.