Please explain to me the principle of leverage, how to use it

Leverage principle. A lever is a simple mechanism; A sturdy stick (preferably unbent and very light) can be used as a lever. In the diagram above, the square represents the weight, the circle represents the support point, and the arrow represents the force point, so you can see it, right?

In Figure 1), the left weight can be lifted by applying downward force on the right side of the lever; In (Fig. 2), applying upward force to the right of the lever can also lift the weight; In (Fig. 3), the fulcrum is on the left, the weight is on the right, and the force point is in the middle.

Have you noticed? In (Fig. 1), the fulcrum is in the middle of the lever, which is called the first lever in physics; (Fig. 2) is focused on the middle, which is called the second type of leverage; (Fig. 3) is the force point in the middle, which is called the third lever.

The first type of lever is e.g. scissors, nail hammers, nail pullers, ......This leverage can be effortless or labor-intensive, or it may be neither labor-saving nor labor-intensive. This depends on the distance between the force point and the fulcrum point (Figure 1).

The farther the force point is from the fulcrum, the more labor-saving, and the closer it is, the more laborious it is; If the focus and force point are as far away from the fulcrum, it is not effortless or effortless, but the direction of the force is changed.

The second lever is e.g. corkscrew, juicer, nutcracker, ......The force point of this lever must be farther away from the fulcrum than the key point, so it is always labor-saving.

The third type of lever is e.g. tweezers, barbecue tongs, chopsticks, ......The force point of this lever must be closer than the focus to the fulcrum, so it is always laborious.

If we use flower scissors (the blade is relatively short) and foreign cutting knives (the blade is relatively long) to cut the cardboard, the flower scissors are more labor-saving but time-consuming; Tailoring, on the other hand, is laborious but time-saving.

If the bar stem is to be balanced, the power multiplied by the power arm = the resistance multiplied by the resistance arm.

So give you a lever and a fulcrum, and you can warp the earth.

Levers are divided into labor-saving levers (the power arm is greater than the resistance arm), labor-force levers (the resistance arm is greater than the power arm) and equal arm levers (the power arm is equal to the resistance arm).

Levers are divided into labor-saving levers, labor-saving levers and equal-arm levers.

Do you know what the principle of leverage and the five elements of leverage are?

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 force point, the fulcrum, and the resistance point) is inversely proportional to their force arms. 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. 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.

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 rod does not have to be in the middle, and the system that satisfies the following three points is basically a lever:

Fulcrum, force point, force point. The formula reads: Power Power Arm = Resistance Resistance Arm, i.e. F1 L1 = F2 L2 This is a lever.

Power arm extension.

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 foot, or a juicer that is pressed by hand, which is a labor-saving lever (force arm > force distance); 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, the crane on the side of the road, the hook for fishing things is at the tip of the whole rod, the tail end is the fulcrum, and the middle is the hydraulic press (torque > force arm), which is the laborious lever, but the laborious 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, you can pry up the earth"This sentence is not only an inspiring aphorism, but also has a strict scientific basis.

The principle of leverage is the principle of using the action of the lever to realize the amplification of the force or the change of direction by adjusting the magnitude and direction of the force.

1. Detailed explanation.

The principle of leverage is a fundamental principle in mechanics that describes the amplification or change of direction of force that can be achieved through the use of levers. The lever consists of a fulcrum and two force arms, where the fulcrum is the axis of rotation of the lever, and the two force arms are the distance from the position of action of the force to the fulcrum.

2. Description of the role.

1. Amplification of force.

The lever can adjust the length of the arm so that a small input force can produce a large output force. This kind of amplification is used in a wide range of applications, such as tools, mechanisms, and mechanical systems using the lever principle. Through the principle of leverage, one can accomplish larger work with less force, increasing efficiency and reducing effort.

2. Change of direction.

The lever can also change the direction of the force. By adjusting the relative position of the input and output forces, the direction of the output force can be reversed from the input force. The effect of this change of direction is very common in mechanical systems and engineering, for example, the principle of movement of the propeller and the lever braking system.

3. Balance adjustment.

The lever principle is also used in balancing and regulating systems. By changing the input force and the length of the arm, the balance point and balance conditions of the lever can be adjusted to achieve the balance and stability of the system. This is very important in engineering, especially in mechanical systems and structures that involve force and moment balancing.

The application of the principle of leverage in real life:

1. Scissors. Scissors are tools designed using the lever principle. The two blades of the scissors are connected by a fulcrum, and the force exerted at the handle is transferred to the blade, causing it to create a shear force.

By adjusting the ratio of the length of the handle and the blade, the force can be amplified and the cutting can be made precisely.

2. Ladders. A ladder is also a classic example of the principle of using levers. Each beam of the ladder can be seen as a lever, and the force that bears the weight of the body acts on the beam, and the force required to climb the ladder is reduced by the amplification effect of the force arm of the beam slamming down.

3. pliers. The two wrenches of the pliers are also a lever system for clamping objects. When a force is applied to one wrench, the other wrench creates a clamping force that allows the pliers to grip the object firmly.

4. Bicycles.

The pedals and cranks in a bicycle form a lever system. When the cyclist pedals, the force arm applied to the pedal generates a moment that is transmitted to the tires through the connecting rod and drives the bicycle forward. The lever principle allows the rider to generate a larger push with less force.

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 is expressed algebraically as f1·l1 f2·l2. where F1 represents the dynamic force, 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 on round rental, you should use a lever with a power arm 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.

Explanation of the principle of leverage:

The principle of leverage is also known as the "leverage equilibrium condition". Power Power Arm Resistance arm, expressed algebraically f1 l1 f2 l2.

Leverage, in a narrow sense, refers to "financial leverage". For example, when an enterprise has insufficient funds, it raises funds through borrowing, puts into production, and gets more profits, which can also be said to use other people's money to do its own business.

Broad leverage covers all "small to big" economic sectors, but the core is borrowing. For example, in the ** market, you have one dollar, but the market allows you to place an order of ten dollars. If you lose a dollar during this period, you will be forced to withdraw.

That is, a tool that uses a small amount of money to manipulate a large amount of money to amplify gains and losses, is to use small to broaden. <>

The principle of leverage is also known as the "leverage equilibrium condition". For a lever to be balanced, the magnitude of the two moments (the product of the force and the arm of the force) acting on the lever must be equal. Namely:

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. 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.

The principle of leverage is a financial analysis tool used to evaluate a company's financial condition and operating performance. It judges a company's profitability and solvency by comparing the proportional relationship between the company's assets and liabilities.

Specifically, the leverage principle method focuses on two main indicators: the debt-to-asset ratio and the equity multiplier. The debt-to-asset ratio represents the proportion of a company's assets that are made up of debt, and the equity multiplier represents the proportion of the company's funds obtained through debt financing relative to shareholders' own funds.

Changes in these two indicators can reflect the company's financial risk and profitability.

The core of the leverage principle method is to evaluate the financial position of a company by analyzing the relationship between its assets and liabilities. The asset-liability ratio is an indicator that measures the proportion of a company's debt funds relative to its own funds, which reflects the company's debt risk and solvency. When the asset-liability ratio is high, it indicates that the company has adopted more debt financing and may face higher debt repayment pressure.

When the asset-liability ratio is low, it shows that the company has adopted more self-owned capital financing and has a lower debt risk. Equity multiplied by Bilu number measures the proportion of funds obtained by the company through debt financing relative to shareholders' own funds, which reflects the extent to which the company amplifies profitability through debt leverage. When the equity multiplier is high, it means that the company has received more funds through debt financing.

The scope and limitations of the leverage principle

The principle of leverage can be used to assess the financial health of a company. By analyzing the debt-to-asset ratio and equity multiplier, it is possible to determine the company's liability risk and profitability. If the debt-to-asset ratio is high and the equity multiplier is low, it may mean that the company is facing a higher debt service risk; Conversely, if the debt-to-asset ratio is low and the equity multiplier is high, it may mean that the company has strong profitability.

The principle of leverage can be used to compare the financial position of different companies. By comparing the debt-to-asset ratios and equity multipliers of different companies, it is possible to understand their financial risk and profitability. This helps investors choose the most potential and risk-controlled investment targets.

However, there is also a certain method of leverage.

The principle of leverage refers to the fact that the lever is at rest under the action of power and resistance, and the lever can be divided into labor-saving lever, labor-saving lever and equal-arm lever.

Formula: Power multiplied by power arm is equal to resistance multiplied by resistance arm.

When using a lever, in order to save effort, it is necessary to use a lever that is longer than the power arm of 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.

Lever three kilometers:

1. Hang equal weights at the two ends of the weightless rod at an equal distance from the fulcrum, and they will be balanced;

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 hand dust key at the unequal distance from the fulcrum at the two ends of the weightless rod, and the far end will be tilted down.