11.5.2. Natural Equilibrium

Try these first

1. 1.

   What does Archimedes' principle state?

   Hint

   Think about what happens when an object is put into water.

2. 2.

   Define the center of buoyancy.

   Hint

   Consider where the buoyant force acts.

3. 3.

   What is the principle of buoyancy?

   • It decreases weight
   • It equalizes pressure
   • It equals the weight of displaced fluid

   Hint

   Think about what happens when an object is submerged.

4. 4.

   True or False: In stable equilibrium, a floating object returns to its original position after a disturbance.

   • True
   • False

   Hint

   Consider what happens if the object is tipped slightly.

5. 5.

   A vessel floats with a center of gravity at 2 m above the waterline and a metacenter at 3 m above the waterline. Determine if the vessel is stable or unstable.

   Hint

   Calculate BM and compare it with BG.

6. 6.

   You have a rectangular object submerged in fluid. The width is 1 m, height is 0.5 m, and fluid has a density of 1000 kg/m^3. Calculate the buoyant force acting on the object.

   Hint

   Remember to find the displaced volume.