A bottle of bubble bath in balance on the thin frame of the shower. You take it, lay it, he falls and you can only curse his luck. You must, all rotten, pull it up before he respects, worse in the shower or outside, on the floor in front of it.
With water soap in the eyes or wetting the floor. You have no escape.
But the man at this point can go on, reflect.
What is the center of the bottle full? Suppose for simplicity that is a perfect cylinder with a circular base, or elliptical, however plausible approximation. When is the full center of mass is halfway up the bottle.
obvious consideration: the bottle is more stable as it is in its low center of gravity.
The system-bath foam is composed of two parts: the outer bottle and the liquid inside. The center of gravity of the container and is thus always about halfway up, while the center of gravity of the fluid is half height (we consider a constant density) the amount of liquid present at that time in the bottle.
If, as I said, the bottle is full, the two centers of gravity coincide, at half height. When it starts to empty, the center of gravity of the liquid begins to drop, and with it the focus of the entire system. But not forever.
When the bubble bath is finished, in fact, the bottle is empty, and its center of gravity will again be half the height of the container.
However, what is the magic height at which the system's center of gravity is lower, then the structure more stable, and I can feel more comfortable in supporting the bottle on the door jamb?
Like a whirlwind attacks me a metaphor for life: if we only care about the envelope, the structure is very unstable if you are concerned about the appearance but the inner content, he will be equally unstable.
The trick is to find the best balance, which is a point difficult to calculate, and continually changing. One point that does the influence of content and container. Because the system is inseparable, and both are important.
A change in the amount of content brings an imbalance of the whole. But really exist
a container and a content, or is an immense taken for a ride?
An imbalance may lead to a fall, but dropped to where?
