JOCULAR MODE: ON
Once that with Varignon's theorem, that states that the torque of a resultant of two concurrent forces about any point is equal to the algebraic sum of the torques of its components about the same point ( in other words, "If many concurrent forces are acting on a body, then the algebraic sum of torques of all the forces about a point in the plane of the forces is equal to the torque of their resultant about the same point), in brief
we have investigated the Moments of First Order, and so we have found the C.G of the "said" airplane.
Let's now investigate the Moments of Second Order namely the Moment of Inertia, otherwise known as the mass moment of inertia, angular mass or rotational inertia.
That is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis: it depends on the body's masses and the square of the distance of each mass from the axis chosen, with larger moments requiring more torque to change the body's rate of rotation.
In brief:
All this stated, a very rich man, but a very queer character
orders his Chief Pilot
to take an airplane out of his fleet to bring his guest to his private Caribbean Island.
Chief Pilot Pussy Galore choses an B-737/800 and 198 passengers ( mostly blondes) and their luggage are brought to the Island.
While Mr Goldfinger and his guests have jolly good time, he orders his Chief Pilot to smuggle in a nearby Country some of his gold, and also orders that all the gold ingost are to be hidden in the fore and aft toilets (he tipped the Customs, so they won't inspect there) and to fully load with gold the airplane. The volume of gold of the equivalent weight of the passengers is not that big, the gold can be stored in the toilets very easily.
Captain Galore is a very good Pilot (but she's not an aeronautical engineer…) so she divides the gold ingots between fore and aft toilets so that the C.G. (by Varignon's Theorem!) is exactly as it should be.
Now:
The weight of the airplane is within limits allowed.
C.G. is at the proper place.
Question:
Pussy Galore, on the return trip with the airplane laden of gold ingots will notice some "slight" differences in the "behaviour" of her B-737/800 or she will notice anything different?"
MODE JOCULAR: OFF
P.S. not taking into consideration structural problems, of course: fuselage will likely split in two but even before the floor of the toilets won't resist…