Who invented the theory of leverage? Who invented the lever principle?

It should be leverage in finance, this is not a theory, but specifically refers to "small and large", with a small amount of money can buy and sell bulk commodities or other derivatives. It is figuratively referred to as financial leverage. For example, if you buy a two-lot copper (10 tons) contract, you generally only need to pay 6% of the total margin.

In this way, profits and losses are magnified, as if a heavy object could be lifted with very little effort.

Inland Hunter: The Lever Principle is the greatest invention in the world, easily solving all difficulties.

Leverage principleIt was invented by Archimedes.

Archimedes has a well-known saying: "Give me a fulcrum, and I can pry up the whole earth!" This sentence is the principle of leverage. Archimedes, the great ancient Greece.

Philosopher, encyclopedic scientist, mathematician, physicist, mechanic, founder of static mechanics and hydrostatics, and known as the "father of mechanics".

Introduction to the principle of leverage

The principle of leverage, also known as the "lever equilibrium condition", is a theorem for analyzing the balance of forces on levers, which was first proposed by the ancient Greek scientist Archimedes. For the lever to achieve force balance, the two moments acting on the lever (force and force arm.

) must be equal in magnitude and rotate in opposite directions.

That is, the equilibrium condition of the lever must be satisfied: the power arm must be equal to the resistance arm, the mathematical expression.

is: f1·l1=f2·l2. where F1 represents the power, L1 represents the power arm land disturbance, F2 represents the resistance, and L2 represents the resistance arm.

The principle of the lever is that the two moments acting on the lever (the product of the force and the arm of the force) must be equal in magnitude.

That is: power power arm = resistance resistance arm, expressed algebraically as f1·l1=f2·l2. where F1 represents the power, L1 represents the power arm, F2 represents the resistance, and L2 represents the resistance arm.

Therefore, to balance the lever, the power arm is several times that of the resistance arm, and the resistance is several times the power.

When using a lever, in order to save effort, you should use a lever that is longer than the resistance arm; If you want to save distance, you should use a lever that is shorter than the resistance arm. Therefore, the use of levers can save effort and distance. However, if you want to save effort, you must move more distance; If you want to move less and travel less distance, you have to put more effort into it.

Introduction to the principle. The principle of leverage is also known as the "leverage equilibrium condition". For a lever to be balanced, the magnitude of the two forces acting on the lever (the power point, the fulcrum, and the resistance point) is inversely proportional to their arms. Power Power Arm = Resistance Resistance arm, expressed algebraically as f

l1=w•l2。where F represents the power, L1 represents the power arm, W represents the resistance, and L2 represents the resistance arm. From the above formula, it can be seen that in order to balance the lever, the power arm is several times that of the resistance arm, and the power is a fraction of the resistance.

Conceptual analysis. When using a lever, in order to save effort, you should use a lever that is longer than the resistance arm; If you want to save distance, you should use a lever that is shorter than the resistance arm. Therefore, the use of levers can save effort and distance.

However, if you want to save effort, you must move more distance; If you want to move less distance, you have to work harder. It is impossible to achieve it with less effort and less distance. It was from these axioms, on the basis of the theory of the "center of gravity", that Archimedes discovered the principle of the lever, that is, "when the double objects are in balance, their distance from the fulcrum is inversely proportional to their weight."

The fulcrum of the lever does not have to be in the middle, and the system that satisfies the following three points is basically the lever: the fulcrum, the force point, and the force point.

The formula reads: the distance from the fulcrum to the point of force (moment).

Forced. Only the point to the point of application of force (arm).

Apply force, so that it is a lever.

There are also low-effort levers and labor-intensive levers, both of which have different functional performances. For example, there is a pump that is stepped on by the feet, or a juicer that is pressed by hand, which is a labor-saving lever.

Strength arm. torque); But we have to press down a large distance, and there is only a small movement on the stressed end. There is also a laborious lever. For example, in the crane on the side of the road, the hook for fishing is the tip of the whole rod, the tail end is the fulcrum, and the middle is the hydraulic press.

torque); Force-arm), this is the laborious lever, but the labor-intensive exchange is that as long as the middle force point moves a small distance, the hook at the tip will move a considerable distance.

Both levers are useful, but where they need to be used to evaluate whether they need to save effort or range of motion. There is also something called the axle, which can also be used as a lever, but the performance may sometimes be added to the calculation of rotation.

The ancient Greek scientist Archimedes had such a famous saying that has been passed down through the ages:"If you give me a fulcrum, I can move the earth! "This sentence is not only an inspiring aphorism, but also has a strict scientific basis.

**The principle of leverage refers to the use of some fixed-rate funds, such as debt and preferred stock, to increase the return on investment of common shares in the capital structure.

In other words, the person who invests a small amount of money may make a high profit or a large loss from it.

In general, the existence of leverage is actually a manifestation of risk awareness.

The principle of leverage was invented by Archimedes. Archimedes has a famous saying that has been circulating for a long time: "Give me a fulcrum, and I can pry up the whole earth!" This sentence is the principle of leverage. Akibury Junmede, the great ancient Greek philosopher, encyclopedic scientist, mathematician, physicist, mechanic, founder of static mechanics and hydrostatics, and enjoys the reputation of "the father of mechanics".

The ancient Greek scientist Archimedes proposed the principle of leverage in his book "On the Balance of Plane Figures".

Archimedes first regarded some empirical knowledge in the practical application of levers as "self-evident axioms", and then proceeded from these axioms and used geometry to derive the principle of levers through rigorous logical arguments.

These axioms are:

1) Hang equal weights at the ends of the weightless rod at an equal distance from the fulcrum, and they will balance;

2) Hang unequal weights at the same distance from the fulcrum at both ends of the weightless rod, and the heavy end will tilt downward;

3) hang the equal weight at the unequal distance between the two ends of the rod of the weightless liquid car from the fulcrum, and the end of the distance will be tilted downward;

4) The action of one weight can be replaced by the action of several evenly distributed weights, as long as the position of the center of gravity remains the same.

Archimedes. Archimedes (287 BC - 212 BC), the great ancient Greek philosopher, encyclopedic scientist, mathematician, physicist, mechanic, founder of static mechanics and hydrostatics, and enjoys the reputation of "father of mechanics", Archimedes and Gauss, Newton are listed as the world's three major mathematicians. Archimedes once said:

Give me a fulcrum, and I can pry up the whole earth. ”

Archimedes' main achievements: the discovery of methods for calculating the surface area and volume of geometric bodies; The basic principles of statics and hydrostatics were established; Discover the buoyancy theorem, the lever principle, and more.