Can Archimedes pry the earth with a fulcrum and a lever?

Theoretically true, but in reality this is only an assumption, and there is no such possibility.

Give me a fulcrum and a lever long enough, and I can pry the earth" is Archimedes' classic quote, according to the principle of levers, you can know: power arm power = resistance arm resistance, if as long as the force arm is long enough, the resistance arm is short enough, only a small power is needed to get a lot of force, but in practice you can't find that long and strong lever, and you can't find that foothold and fulcrum.

After discovering the equilibrium principle of the lever, the famous ancient Greek scientist Archimedes wrote a letter with excitement to report his important discovery to the Syracuse king Helen. In his letter, he said, "If you give me a fulcrum, a hard rod long enough, I can pry the whole earth."

We know that according to the principle of levers, as long as the power arm of the lever is long enough, it can lift objects of any weight with a certain amount of force. But can Archimedes really pry up the earth?

First, let's calculate the length of the leverage. If a person can lift a weight of 600 n directly, then according to the equilibrium conditions of the lever, that is, in order to lift the earth, he must place his hand on such a long lever - the power arm of the lever should be equal to 1 10 (20) times its resistance arm. In the vast universe, how can there be such a long lever?

Only the lever is not enough, around the sun, all the planets are revolving around the sun, and the rotation cycle is the same, and the solar system is also moving in the universe, so there is no other planet that is stationary relative to the earth as a fulcrum of the lever.

If such a long lever really exists in the world, and the parallel connection finds a suitable fulcrum, will Archimedes be able to lift the earth?

If Archimedes could lift the Earth by 1 mm, he would have to move a large arc in space with the end of the lever in his hand, which is about 1 10 (17) km long. In other words, if Archimedes were to lift the globe by 1 mm, his hand holding the lever would have to move an unimaginably large distance!

Let's calculate how much time it takes him to lift the Earth by 1 mm. If the speed at which Archimedes lifted is 1m s, then according to t=s v=1 10(20m) (1m s)=1 10(20)s is about 30,000,000 years! It can be seen that Archimedes, even if he takes a lifetime to carry the lever, cannot lift the earth up a distance as thin as a very thin hair.

In fact, yes.

Because there is not only the principle of levers in physics, but also the most basic references, motion and rest are also relative.

So, I take a random stick, name the two ends as point A and point B, make point A on the ground, put something C above the stick as a fulcrum, and then lift point B upwards. At this point, if I think C is stationary, then I have already pried the earth.

Greg. This scientist said that he could pry the earth with his strength and use a stick to find a fulcrum, and this hypothetical theory of conceiving a sky building is absurd and wrong. Why do you say this, because the earth is huge for people, for a stick in the hand, it is very small, in the process of small and long, it will bend and break in the air, and it will not be able to make force, it is insignificant, according to his hypothetical theory, with a huge pole of the tree of heaven, find a fulcrum to pry the earth, then you stand on this giant tree pole, you are smaller than an ant, the force is insignificant, how can you pry the earth?

Unless he's a giant of heaven borrowing power. Therefore, the hypothetical theory of imagining the sky building is not valid, and it is necessary to operate according to the reality of Changtaihua, which is the correct goal.

Archimedes installed a set of elaborate pulleys and levers on the front and rear of the ship, and asked the king to pull a rope, and the ship slowly moved to the sea.

Village. The king publicly declared: "From now on, whatever Asmid says, believe him!" ”

The Roman and Carthaginian wars, Syracuse and Carthage angered the Romans, and the Roman army attacked Syracuse. Archimedes repelled the powerful with a trebuchet.

The Roman army, resisting the Roman navy for 3 years. The Roman battleship was hoisted straight into the air like a toy......

If he was really allowed to move the earth, would it be feasible?

Suppose Archimedes really found a foothold, and suppose he really found a lever long enough that you know if he took the earth even only.

How long does it take to lift a centimeter?

The mass of the Earth is 6,1024 kilograms, and if a person can lift a weight of 60 kilograms directly, then he has to lift the Earth, the length of its lever.

The arm will be 1023 times that of the short arm, which means that if the end of the short arm is raised 1 centimeter, then the long arm will draw a large arc in space, and its arc length is.

1021 meters, if we consider that Archimedes can lift a 60-kilogram weight in 1 second (this ability to work is quite amazing). That.

Well, if he wants to lift the earth by 1 centimeter, it will take 3 1013 years.

ArchimedesThe principle of leverage is a theorem that analyzes the balance of forces on leverage

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 met: the power arm must be equal to the resistance.

Resistance arm, mathematical expression.

is: f1·l1=f2·l2. In the closed bend, F1 represents the travel power, L1 represents the power arm, F2 represents the resistance, and L2 represents the resistance arm.

Leverage balanced

Lever balance refers to the state when the lever is at rest or rotating at a constant speed under the action of power and resistance. There are generally two situations in which leverage is forced.

1. When the lever is acted on by two forces, the distance from the power fulcrum to the power line Resistance The distance from the fulcrum to the resistance line, that is, the power power arm resistance resistance arm, algebraic formula.

It is expressed as f1 l1 = f2 l2.

2. When the lever is subjected to multiple forces, all make the lever clockwise.

The product of the magnitude of the rotating force and its effect on the stress arm is equal to the product of the magnitude of the force that makes the lever turn counterclockwise with its product of the stress arm. This is also known as the principle of procedural and negative of the bar, and it also applies to the case of only two forces.

The first person to discover the principle of levers was Archimedes of ancient Greece (287 BC, 212 BC). The principle of lever is the basis for the design and manufacture of all machinery. In order for a king to understand the meaning of the lever, Archimedes confidently said to the king:

If you give me a fulcrum, I can pry the earth! Of course, such a fulcrum and lever cannot be found, but theoretically, if any, Archimedes can pry the earth. Later, Archimedes used the principle of leverage to help the king solve a big problem.

The king built a great ship, but it was too big to get it into the water anyway. Archimedes designed and manufactured a system of lever pulleys that made it possible to pull heavy objects with very little force. When everything was ready, he asked the king to pull the rope with his hand.

A miracle happened, the boat slowly moved and finally got into the water. People were amazed, and Archimedes' name soon spread everywhere, and his confident quote has survived to this day.

Is the Golden Crown adulterated?

It is said that the ancient Greek king was given a golden crown, which was very delicate, but the king suspected that the goldsmith was adulterated, and he could not determine it, so he asked Archimedes to solve the problem. Archimedes thought day and night, and one day, he went to take a bath, and when he stepped into the tub, the water overflowed. Archimedes found inspiration.

Experiments have proved that when an object is completely immersed in water, no matter how complex the structure is, the volume of water discharged is exactly equal to its own volume. Experiments were carried out according to this principle and it was proved that the crown was adulterated.

In this way, Archimedes discovered the important "buoyancy principle" in mechanics. In his honor, the law of buoyancy was named "Archimedes' law".

1. The landlord asked: If Archimedes could pry the earth, how long would he need a lightweight lever?

Answer: It depends on where Archimedes intends to set the fulcrum.

2. The landlord asked: How many years does it take to pry up 1cm of the earth at a speed of 100m'?

Answer: Assuming that Archimedes' strength is 50kg, the mass of the earth is known to be approximate.

Therefore, the ratio of the length of the lever power arm to the resistance arm is approximately: (So, to pry up the earth by 1cm, Archimedes needs to press the lever to walk for an hour).

years) can be seen that Archimedes could not pry up the earth 1cm in his lifetime, because it would take years. And Archimedes will not live more than 100 years.

Assuming that Archimedes lived for 100 years and used it to pry the earth all the time, then Archimedes would need to work for the rest of his life!!

No, I don't know what speed warping. If Fang Zheng really finds a suitable fulcrum and a lever long enough to warp the earth by one centimeter, it will take three billion years.

The title is fundamentally wrong, the earth does not have gravity like other objects, and there is no warping problem.

Knowing that the mass of the Earth is 6*10 to the power of 24kg, and assuming that the fulcrum is 1m from the Earth, and the maximum pressure that Archimedes gives to the lever is 600n, then Archimedes needs a light lever of about -m. Even if he presses down on the lever at a constant speed of 100km/h, it would take 10 to the power of 12 (10 12) years (1 year is about 10 to the power of 4 hours (similar to a triangle) Here are the arithmetic steps:

6*10^24*10*1=600*l

l=10^23m

1*10^-2/1=s/l

s=10^21m

t=s v=10 21 100=10 19 h=10 15 y Archimedes needed a lightweight lever of about 10 23m.

It would take 10 to 15 years to lift the earth by 1 cm.

So even if Archimedes manipulated the lever for the rest of his life, he could only lift it thinner than a human hair. You can take a look.

(200504) Give me a fulcrum 1 and I can tear the earth apart.

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. The principle of leverage is expressed as:

Motivation Power Arm Resistance Resistance Arm

In the 3rd century B.C., the ancient Greek physicist and mathematician Archimedes (c. 287 B.C. 212 B.C.) was the first to put forward the axiom that equal-weight objects acting on both sides of the fulcrum are in equilibrium. Later, he worked on the principle that "different weights on a lever can only be in equilibrium if their weight is inversely proportional to the length of their suspension point to the fulcrum", which is what we often call the lever principle.

Archimedes famously said, "Give me a reliable fulcrum, and I will move the earth." "The lever principle is applied to all kinds of machinery and is the basic principle of simple machinery.

Common pulleys, levers, and axles all use this principle. Archimedes' principle of levers and the theory of mechanics also established his role as a pioneer in the development of physics. As a natural philosopher, Archimedes was the true founder of the discipline of mechanics.

Archimedes used the principle of levers to build a stone thrower, and the Roman navy could not storm the city for two years.