A cubical object of side 100cm floats over a fluid of specific gravity 1.6. The depth of immersion is 75 cm. The centre of buoyancy lies 25 cm below the surface of the fluid. When measured from the top surface of the object, identify the location of the centre of gravity from the top surface, which will cause the object to overturn.
a. 100 cm
b. 95 cm
c. 75 cm
e. 25 cm
f. None of the above
This is a question from a fluid mechanics course I'm taking. The answer is 50cm and I'm having a hard time visualizing it.
What I've done:
The blue line being water level, yellow is centre of buoyancy, and orange is centre of gravity. From my sketch, it looks that the answer should be 25cm instead.
Could someone please explain what I've missed? This is also all the information I was given and not sure if there any assumptions I need to make?
Thanks in advance.