A: "? Give me a fulcrum and I can shake the whole earth. " This famous saying was said by Archimedes, a great physicist in ancient Greece.
I. Analysis:
This sentence embodies the lever principle, that is, if Archimedes stands outside the earth with a long and hard rod and a fulcrum, he can pry the earth.
It is also used to describe success as long as conditions are met.
Second, Archimedes
Archimedes (287 BC-2 BC12), a great philosopher, encyclopedic scientist, mathematician, physicist and mechanic in ancient Greece, was the founder of statics and hydrostatics and enjoyed the reputation of "the father of mechanics". Archimedes, Gauss and Newton are listed as the three greatest mathematicians in the world. Archimedes once said, "Give me a fulcrum and I can pry up the whole earth."
Archimedes established the basic principles of statics and hydrostatics. Several methods for finding the center of gravity of geometric figures are given, including the center of gravity of the figure surrounded by parabola and its parallel chords. Archimedes proved that the buoyancy of an object in a liquid is equal to the weight of the liquid it displaces. This result was later called Archimedes principle. He also gave the criterion of equilibrium stability of a parabola rotating body floating in liquid. The machine invented by Archimedes has a water screw for diverting water, which can pull the lever pulley machine for loading large ships and explain the earth, moon and day running model of solar eclipse. But he thought that mechanical invention was lower than pure mathematics, so he didn't write a book on it. Archimedes also used continuous division to calculate the volume of ellipsoid, rotating projectile and so on. This method has the rudiment of integral calculation.
Third, the lever principle.
A system that satisfies the following three points is basically a lever: fulcrum, force point and force point. The lever principle is also called "lever balance condition": in order to balance the lever, the two moments (product of force and arm) acting on the lever must be equal. Namely: power× power arm = resistance× resistance arm, which can be expressed as:
F 1 stands for power, L 1 stands for power arm, F2 stands for resistance, and L2 stands for resistance arm.