Точен topic simple machines. Методическая разработка занятия по английскому языку на тему "Машины и работа" (3 курс)

). The steeper the slope, or incline, the more nearly the required force approaches the actual weight. Expressed mathematically, the force F required to move a block D up an inclined plane without friction is equal to its weight W times the sine of the angle the inclined plane makes with the horizontal (θ). The equation is F = W sin θ.

In this representation of an inclined plane, D represents a block to be moved up the plane, F represents the force required to move the block, and W represents the weight of the block. Expressed mathematically, and assuming the plane to be without friction, F = W sin θ.

The principle of the inclined plane is used widely-for example, in ramps and switchback roads, where a small force acting for a distance along a slope can do a large amount of work.

The

A lever is a bar or board that rests on a support called a fulcrum. A downward force exerted on one end of the lever can be transferred and increased in an upward direction at the other end, allowing a small force to lift a heavy weight.

Two examples of levers(Left) A crowbar, supported and turning freely on a fulcrum f , multiplies a downward force F applied at point a such that it can overcome the load P exerted by the mass of the rock at point b . If, for example, the length a f is five times b f , the force F will be multiplied five times. (Right) A nutcracker is essentially two levers connected by a pin joint at a fulcrum f . If a f is three times b f , the force F exerted by hand at point a will be multiplied three times at b , easily overcoming the compressive strength P of the nutshell. Encyclopædia Britannica, Inc.

All early people used the lever in some form, for example, for moving heavy stones or as digging sticks for land cultivation. The principle of the lever was used in the swape, or , a long lever pivoted near one end with a platform or water container hanging from the short arm and counterweights attached to the long arm. A man could lift several times his own weight by pulling down on the long arm. This device is said to have been used in Egypt and India for raising water and lifting soldiers over battlements as early as 1500 bce .

Shadoof, central Anatolia, Turkey. Noumenon

The

A wedge is an object that tapers to a thin edge. Pushing the wedge in one direction creates a force in a sideways direction. It is usually made of metal or wood and is used for splitting, lifting, or tightening, as in securing a hammer head onto its handle.

The wedge was used in prehistoric times to split logs and rocks; an is also a wedge, as are the teeth on a saw. In terms of its mechanical function, the screw may be thought of as a wedge wrapped around a cylinder.

The

A wheel and axle is made up of a circular frame (the wheel) that revolves on a shaft or rod (the axle). In its earliest form it was probably used for raising weights or water buckets from wells.

Its principle of operation is best explained by way of a device with a large and a small gear attached to the same shaft. The tendency of a force, F , applied at the radius R on the large gear to turn the shaft is sufficient to overcome the larger force W at the radius r on the small gear. The force amplification, or , is equal to the ratio of the two forces (W :F ) and also equal to the ratio of the radii of the two gears (R :r ).

Two wheel and axle arrangements(A) With a large gear and a small gear attached to the same shaft, or axle, a force F applied at the radius R on the large gear is sufficient to overcome the larger force W at the radius r on the small gear, turning the axle. (B) In a drum and rope arrangement capable of raising weights, a large drum of radius R can be used to turn a small drum. An increase in mechanical advantage can be obtained by using the large drum to turn a small drum with two radii as well as a pulley block. When a force F is applied to the rope wrapped around the large drum, the rope wrapped around the small two-radius drum winds off of d (radius r 1) and onto D (radius r 2). The force W on the radius of the pulley block P is easily overcome, and the attached weight is lifted. Encyclopædia Britannica, Inc.

If the large and small gears are replaced with large- and small-diameter drums that are wrapped with ropes, the wheel and axle becomes capable of raising weights. The weight being lifted is attached to the rope on the small drum, and the operator pulls the rope on the large drum. In this arrangement the mechanical advantage is the radius of the large drum divided by the radius of the small drum. An increase in the mechanical advantage can be obtained by using a small drum with two radii, r 1 and r 2 , and a pulley block. When a force is applied to the large drum, the rope on the small drum winds onto D and off of d.

A measure of the force amplification available with the pulley-and-rope system is the velocity ratio, or the ratio of the at which the force is applied to the rope (V F ) to the velocity at which the weight is raised (V W ). This ratio is equal to twice the radius of the large drum divided by the difference in the radii of the smaller drums D and d. Expressed mathematically, the equation is V F /V W = 2R /(r 2 - r 1). The actual mechanical advantage W /F is less than this velocity ratio, depending on friction. A very large mechanical advantage may be obtained with this arrangement by making the two smaller drums D and d of nearly equal radius.

The

A pulley is a wheel that carries a flexible rope, cord, cable, chain, or belt on its rim. Pulleys are used singly or in combination to transmit and motion. Pulleys with grooved rims are called sheaves. In , pulleys are affixed to shafts at their axes, and power is transmitted between the shafts by means of endless belts running over the pulleys.

GK Bloemsma

One or more independently rotating pulleys can be used to gain mechanical advantage, especially for lifting weights. The shafts about which the pulleys turn may affix them to frames or blocks, and a combination of pulleys, blocks, and rope or other flexible material is referred to as a . The Greek mathematician (3rd century bce ) is reported to have used compound pulleys to pull a ship onto dry land.

Encyclopædia Britannica, Inc.

The

A screw is a usually circular cylindrical member with a continuous helical rib, used either as a fastener or as a force and motion modifier.

Although the Pythagorean philosopher (5th century bce ) is the alleged inventor of the screw, the exact period of its first appearance as a useful mechanical device is obscure. The invention of the is usually ascribed to Archimedes, but evidence exists of a similar device used for irrigation in Egypt at an earlier date. The screw press, probably invented in Greece in the 1st or 2nd century bce , has been used since the days of the Roman Empire for pressing clothes. In the 1st century ce , wooden screws were used in wine and olive-oil presses, and cutters (taps) for cutting internal threads were in use.

Screws and screw heads (A) Cap screw, (B) machine screw with oval head, (C) setscrew with hollow head, (D) self-tapping screw, (E) flat-head wood screw, (F) machine screw with Phillips head, (G) lag screw Encyclopædia Britannica, Inc.

Are made in a wide variety of diameters and lengths; when using the larger sizes, pilot holes are drilled to avoid splitting the wood. are large wood screws used to fasten heavy objects to wood. Heads are either square or hexagonal.

Screws that modify force and motion are known as . A screw jack converts (turning moment) to thrust. The thrust (usually to lift a heavy object) is created by turning the screw in a stationary nut. By using a long bar to turn the screw, a small force at the end of the bar can create a large thrust force. Workpiece tables on are moved linearly on guiding ways by screws that rotate in at the ends of the tables and mate with nuts fixed to the machine frame. A similar torque-to-thrust conversion can be obtained by either rotating an axially fixed screw to drive a rotationally fixed nut along the screw or by rotating an axially fixed nut to drive a rotationally fixed screw through the nut.

This article was most recently revised and updated by Robert Curley , Senior Editor.

Simple machines are tools that make work easier. They have few or no moving parts.These machines use energy to work. There are six types of simple machines . The six types of simple machines are used in our daily life. Simple machines convert a smaller amount of force exerted over a larger distance to a greater amount of force exerted over a shorter distance, or vice versa. The concept of simple machine was introduced by the Greek philosopher Archimedes the 3rd century.

There are six types of simple machines. The six types of simple machines are

  • Wedge
  • Lever.


Pulley is wheels and axles with a groove around the outside

A pulley needs a rope, chain or belt around the groove to make it do work

Examples: Flag post, Elevator, Window blinds, Crane, Winch.

A screw is an inclined plane wrapped around a shaft or cylinder.

The inclined plane allows the screw to move itself when rotated

Examples: Screw lid jar, drills, door lock, meat grinder, brace and bits,

3) Wedge:

A wedge is used to split an object through the application of force. It is made up of two inclined planes which meet to form a sharp edge. Wedges are used to split things.

Examples: Knives, axe. Forks, pin, chisels.

An inclined plane is a flat surface that is higher on one end, which makes it easier to move heavy objects to a certain height.

Examples: Roller coaster, stirs, sloping roads, ramps, boat propeller,

The wheel and axle is made up of two circular objects. The wheel is the larger object which turns around the smaller object the axle. The axle is a rod that goes through the wheel which allows the wheel to turn,

Examples: Door knobs, Egg beater, Steering wheels, door knobs, pencil sharpener. Gears are a form of wheels and axles

6) Lever:

This is a is a bar rests on a turning point. The turning point is the fulcrum. An object the lever moves is the load. There are three kinds of levers, First order, Second order and third order.

In a first class lever the fulcrum is in the middle and the load and effort is on either side.

Example: see saw

In a second class lever the fulcrum is at the end, with the load in the Middle.

Example: wheelbarrow

In a third class lever the fulcrum is again at the end, but the effort is in the middle.

Example: Pair of tweezers.

Advantage of using the six simple machines:
These six simple machines are used in day to day life. They make the work easier for us. Simple machines are being used hundreds of years before. Even the great pyramids were build by using the simple machines. The inclined plane was used to move heavy stones for building the pyramids. Different combinations of these six simple machines can be used in the building of complex machines.

Sub Topics

The effort is the force applied to the machine.

The load is the force against which the machine does the work.

This ratio is a measure of the advantage that one obtains by using the machine. If a load of 40 N is moved by applying an effort of 10 N on the machine then the mechanical advantage of the machine is given by

Velocity Ratio (V.R)

The "corresponding distance" is the distance moved by the load in the same time as the distance moved by the effort.

The velocity ratio depends only on the design of the machine and is always same for a particular machine. The mechanical advantage on the other hand can vary for a particular machine as it depends on friction.

M.A., V.R. and efficiency have no units as they are ratios between similar quantities.

Effort: The force applied to the machine.

Load: The force against which the machine does the work.

Since the effort does the work on the machine and the load is worked upon by the machine, efficiency can also be expressed as

The efficiency is very often expressed as a percentage i.e.,

It should be noted that 100% efficiency is possible only for an ideal (imaginary) machine. Usually, for all practical purposes the efficiency of a machine is always less than 100%. This is because practical M.A. is always less than theoretical M.A. due to friction and the weight of the moving parts.

HanicalSimple Machines and its Mechanical Advantage What are Simple Machines ? What do we mean by Mechanical Advantage? Simple Machines * creates a greater output force than the input force Therefore since work is performed by applying a force over a distance, with the use of these machines we can do more work with lesser effort than working with our bare hands. In short, they make work easier. Mechanical Advantage * The Ratio between the input force and the output force. * The measure of the force amplification achieved by using a tool, mechanical device or machine system. Anyway what is input and output force? Input refers to the force you applied while output refers to the resultant force the object has from the input force. Example: I pushed a ball with 10 N of force, it is rolling with 10 N of force. I input 10 N into it, now it is outputting 10 N. The Six Classical Simple Machines The Lever(French word that means “to raise”) * A simple machine that allows you to gain a mechanical advantage in moving an object or in applying a force to an object. It is considered a "pure" simple machine because friction is not a factor to overcome, as in other simple machines . Part | Description | Fulcrum | Is where a solid board or rod can pivot...

Simple Machines Examples With Pictures Essay

Applied Force Other First Class Lever Examples Applied Force Action Force Spring Load Force Action http://library.thinkquest.org/J002079F/lever.htm Third Class Lever Effort or Applied Force Egg ready to be launched Release hook Compressed Spring Load or Resistance Fulcrum Applied force can be in any direction http://www.usoe.k12.ut.us/curr/science/sciber00/8th/machines /sciber/lever3.htm http://www.usoe.k12.ut.us/curr/science/sciber00/8th/machines /images/tweezer.gif http://www.usoe.k12.ut.us/curr/science/sciber00/8th/machines /images/base.jpg Inclined Plane An inclined plane is a slanted surface used to raise an object. An inclined plane decreases the size of the effort force needed to move an object. However, the distance through which the effort force is applied is increased. The Big Rock rolling downhill with gravitational force IS NOT an example of an inclined plane. The inclined plane gives you mechanical advantage AGAINST gravity. Big Rock http://www.sirinet.net/~jgjohnso/simple.html An example of how an Inclined Plane can be used to raise a mass to activate another simple machine Egg ready to be launched By First Class Lever F Big Rock Force pushing (or pulling) Big Rock up the hill Inclined Plane First Class Lever Wedges Pulleys Wedges are moving inclined planes that are driven under loads to lift Pulleys use a wheel or set of wheels around which a single length (not...

Activity 1.1.2 Simple Machines Practice Problems Answer Key Essay

Activity 1.1.2 Simple Machines Practice Problems Answer Key Procedure Answer the following questions regarding simple machine systems. Each question requires proper illustration and annotation, including labeling of forces, distances, direction, and unknown values. Illustrations should consist of basic simple machine functional sketches rather than realistic pictorials. Be sure to document all solution steps and proper units. All problem calculations should assume ideal conditions and no friction loss. Simple Machines – Lever A first class lever in static equilibrium has a 50lb resistance force and 15lb effort force. The lever’s effort force is located 4 ft from the fulcrum. 1. Sketch and annotate the lever system described above. 2. What is the actual mechanical advantage of the system? Formula Substitute / Solve Final Answer AMA = 3.33 3. Using static equilibrium calculations, calculate the length from the fulcrum to the resistance force. Formula Substitute / Solve Final Answer A wheel barrow is used to lift a 200 lb load. The length from the wheel axle to the center of the load is 2 ft. The length from the wheel and axle to the effort is 5 ft. 4. Illustrate and annotate the lever system described above. 5. What is the ideal mechanical advantage of the system?...

Compound Machine

Our compound machine , consisting of mainly three different simple machines , is a crane designed to multiply your force in order to effectively and efficiently lift the four 75 kg up a steep hill. Our machine starts off with the gear train. As you rotate the handle, all the gears rotate along as well. Since we connected the rope of the pulley to our gears, it then puts the pulley system into action. We created movable pulleys throughout the arm until the tip to stabilize our rope and also give us a mechanical advantage. At the top section of our arm we created a lever to support the load. This magnifies our effort force since a combination of all the mechanical energy is being carried out. With the pulley system, connected all the way to the gear train, and the lever working all together, our mechanical advantage is increased greatly. We created a series of gear trains to not only increase our advantage of torque in the machine but also to increase the mechanical advantage rather than losing efficiency due to friction and thermal energy. Doing this, we magnified our effort force onto the load. Also, in the gears, we arranged it so that the input gear and the output gear gave us a low gear ratio and the idler gears in between. It also allows us to control the direction of our force in the machine . Since it is linked to the pulley, we can control the direction of the rope. However, it only...

Essay

SAMPLE PROBLEMS: . Simple Machines – Lever A first class lever in static equilibrium has a 50lb resistance force and 15lb effort force. The lever’s effort force is located 4 ft from the fulcrum. Sketch and annotate the lever system described above. | What is the actual mechanical advantage of the system? Formula | Substitute / Solve | Final Answer | | | AMA = 3.33 | * Using static equilibrium calculations, calculate the length from the fulcrum to the resistance force. Formula | Substitute / Solve | Final Answer | | | | A wheel barrow is used to lift a 200 lb load. The length from the wheel axle to the center of the load is 2 ft. The length from the wheel and axle to the effort is 5 ft. Illustrate and annotate the lever system described above. | What is the ideal mechanical advantage of the system? Formula | Substitute / Solve | Final Answer | | | | * Using static equilibrium calculations, calculate the effort force needed to overcome the resistance force in the system. Formula | Substitute / Solve | Final Answer | | | | A medical technician uses a pair of four inch long tweezers to remove a wood sliver from a patient. The technician is applying 1 lb of squeezing force to the tweezers. If more than 1/5 lb of force is applied to the sliver, it will break and become difficult to remove. Sketch and annotate the lever system...

Essay on Simple Machines

...Simple machines are extremely important to everyday life. They make stuff that is normally difficult a piece of cake. There are several types of simple machines . The first simple machine is a lever. A lever consists of a fulcrum, load, and effort force. A fulcrum is the support. The placing of the fulcrum changes the amount of force and distance it will take in order to move an object. The load is the applied force. The effort force is the force applied on the opposite side of the load. Levers can be placed in three classes. The 1st class levers are objects like pliers where the fulcrum is at the center of the lever. The 2nd class of levers are objects that have the fulcrum on the opposite side of the applied force like a nutcracker. The 3rd and final class is objects like crab claws. These objects of the load at one end and the fulcrum on the other. An inclined plane is another simple machine . Inclined planes are also known as ramps. Ramps make a trade off between distance and force. No matter how steep the ramp, the work is still the same. A winding road on a mountain side is a good example of a ramp. Some simple machines are modified inclined planes. The wedge is one of those machines . One or two inclined planes make up a wedge. Saws, knives,needles, and axes are made from wedges....

Simple Machines Essay

...Simple Machines Definitions: Machine - A device that makes work easier by changing the speed , direction, or amount of a force. Simple Machine - A device that performs work with only one movement. Simple machines include lever, wheel and axle, inclined plane, screw, and wedge. Ideal Mechanical Advantage (IMA)- A machine in which work in equals work out; such a machine would be frictionless and a 100% efficient IMA= De/Dr Actual Mechanical Advantage (AMA)- It is pretty much the opposite of IMA meaning it is not 100% efficient and it has friction. AMA= Fr/Fe Efficiency- The amount of work put into a machine compared to how much useful work is put out by the machine ; always between 0% and 100%. Friction- The force that resist motion between two surfaces that are touching each other. What do we use machines for? Machines are used for many things. Machines are used in everyday life just to make things easier. You use many machines in a day that you might take for granted. For example a simple ordinary broom is a machine . It is a form of a lever. Our country or world would never be this evolved if it wasn"t for machine . Almost every thing we do has a machine involved. We use machines ...

Simple Machine A machine with few Essay

... Simple Machine : A machine with few or no moving parts. Simple machines make work easier. Examples: Screw, Wheel and Axle, Wedge, Pulley, Inclined Plane, Lever Compound Machine : Two or more simple machines working together to make work easier. Examples: Wheelbarrow, Can Opener, Bicycle Inclined plane: A sloping surface, such as a ramp. Makes lifting heavy loads easier. The trade-off is that an object must be moved a longer distance than if it was lifted straight up, but less force is needed. Examples: Staircase, Ramp Lever: A straight rod or board that pivots on a point known as a fulcrum. Pushing down on one end of a lever results in the upward motion of the opposite end of the fulcrum. Examples: Door on Hinges, Seesaw, Hammer, Bottle Opener Pulley: A wheel that usually has a groove around the outside edge for a rope or belt. Pulling down on the rope can lift an object attached to the rope. Work is made easier because pulling down on the rope is made easier due to gravity. Examples: Flag Pole, Crane, Mini-Blinds Screw: An inclined plane wrapped around a shaft or cylinder. This inclined plane allows the screw to move itself or to move an object or material surrounding it when rotated. Examples: Bolt, Spiral Staircase Wedge: Two inclined planes joined back to back. Wedges are used to split things....

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    You"re watching FreeSchool! Hi everyone! Today we"re going to talk about simple machines. A simple machine is a device that makes work easier by magnifying or changing the direction of a force. That means that simple machines allow someone to do the same work with less effort! Simple machines have been known since prehistoric times and were used to help build the amazing structures left behind by ancient cultures. The Greek philosopher Archimedes identified three simple machines more than 2,000 years ago: the lever, the pulley, and the screw. He discovered that a lever would create a mechanical advantage, which means that using a lever would allow a person to move something that would normally be too heavy for them to shift. Archimedes said that with a long enough lever and a place to rest it, a person could move the world. Over the next few centuries more simple machines were recognized but it was less than 450 years ago that the last of the simple machines, the inclined plane, was identified. There are six types of simple machines: the Lever, the Wheel and Axle, the Pulley, the Inclined plane, the Wedge, and the Screw. Pulleys and Wheel and Axles are both a type of Lever. Wedges and Screws are both types of Inclined Planes. Each type of Simple Machine has a specific purpose and way they help do work. When speaking of simple machines, "work" means using energy to move an object across a distance. The further you have to move the object, the more energy it takes to move it. Let"s see how each type of simple machine helps do work. A LEVER is a tool like a bar or rod that sits and turns on a fixed support called a fulcrum. When you use a lever, you apply a small force over a long distance, and the lever converts it to a larger force over a shorter distance. Some examples of levers are seesaws, crowbars, and tweezers. A Wheel and Axle is easy to recognize. It consists of a wheel with a rod in the middle. You probably already know that it"s easier to move something heavy if you can put it in something with wheels, but you might not know why. For one thing, using wheels reduces the friction - or resistance between surfaces - between the load and the ground. Secondly, much like the lever, a smaller force applied to the rim of the wheel is converted to a larger force traveling a smaller distance at the axle. Wheel and axles are used for machines such as cars, bicycles, and scooters, but they are also used in other ways, like doorknobs and pencil sharpeners. A Pulley is a machine that uses a wheel with a rope wrapped around it. The wheel often has a groove in it, which the rope fits into. One end of the rope goes around the load, and the other end is where you apply the force. Pulleys can be used to move loads or change the direction of the force you are using, and help make work easier by allowing you to spread a weaker force out along a longer path to accomplish a job. By linking multiple pulleys together, you can do the same job with even less force, because you are applying the force along a much longer distance. Pulleys may be used to raise and lower flags, blinds, or sails, and are used to help raise and lower elevators. An Inclined Plane is a flat surface with one end higher than the other. Inclined planes allow loads to slide up to a higher level instead of being lifted, which allows the work to be accomplished with a smaller force spread over a longer distance. You may recognize an inclined plane as the simple machine used in ramps and slides. A Wedge is simply two inclined planes placed back to back. It is used to push two objects apart. A smaller force applied to the back of the wedge is converted to a greater force in a small area at the tip of the wedge. Examples of wedges are axes, knives, and chisels. A Screw is basically an inclined plane wrapped around a pole. Screws can be used to hold things together or to lift things. Just like the inclined plane, the longer the path the force takes, the less force is required to do the work. Screws with more threads take less force to do a job since the force has to travel a longer distance. Examples of screws are screws, nuts, bolts, jar lids, and lightbulbs. These six simple machines can be combined to form compound or complex machines, and are considered by some to be the foundation of all machinery. For example, a wheelbarrow is made of levers combined with a wheel and axle. A pair of scissors is another complex machine: the two blades are wedges, but they are connected by a lever that allows them to come together and cut. We use simple machines to help us do work every day. Every time you open a door or a bottle, cut up your food, or even just climb stairs, you are using simple machines. Take a look and see if you can identify the simple machines around you and figure out how they make it easier to do work.

    Contents

History

The idea of a simple machine originated with the Greek philosopher Archimedes around the 3rd century BC, who studied the Archimedean simple machines: lever, pulley, and screw . He discovered the principle of mechanical advantage in the lever. Archimedes" famous remark with regard to the lever: "Give me a place to stand on, and I will move the Earth." (Greek : δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω ) expresses his realization that there was no limit to the amount of force amplification that could be achieved by using mechanical advantage. Later Greek philosophers defined the classic five simple machines (excluding the inclined plane) and were able to roughly calculate their mechanical advantage. For example, Heron of Alexandria (ca. 10–75 AD) in his work Mechanics lists five mechanisms that can "set a load in motion"; lever , windlass , pulley , wedge , and screw , and describes their fabrication and uses. However the Greeks" understanding was limited to the statics of simple machines; the balance of forces, and did not include dynamics ; the tradeoff between force and distance, or the concept of work .

Frictionless analysis

Although each machine works differently mechanically, the way they function is similar mathematically. In each machine, a force F in {\displaystyle F_{\text{in}}\,} is applied to the device at one point, and it does work moving a load, F out {\displaystyle F_{\text{out}}\,} at another point. Although some machines only change the direction of the force, such as a stationary pulley, most machines multiply the magnitude of the force by a factor, the mechanical advantage

M A = F out / F in {\displaystyle \mathrm {MA} =F_{\text{out}}/F_{\text{in}}\,}

that can be calculated from the machine"s geometry and friction.

The mechanical advantage can be greater or less than one:

  • The most common example is a screw. In most screws, applying torque to the shaft can cause it to turn, moving the shaft linearly to do work against a load, but no amount of axial load force against the shaft will cause it to turn backwards.
  • In an inclined plane, a load can be pulled up the plane by a sideways input force, but if the plane is not too steep and there is enough friction between load and plane, when the input force is removed the load will remain motionless and will not slide down the plane, regardless of its weight.
  • A wedge can be driven into a block of wood by force on the end, such as from hitting it with a sledge hammer, forcing the sides apart, but no amount of compression force from the wood walls will cause it to pop back out of the block.

A machine will be self-locking if and only if its efficiency η is below 50%:

η ≡ F o u t / F i n d i n / d o u t < 0.50 {\displaystyle \eta \equiv {\frac {F_{out}/F_{in}}{d_{in}/d_{out}}}<0.50\,}

Whether a machine is self-locking depends on both the friction forces (coefficient of static friction) between its parts, and the distance ratio d in /d out (ideal mechanical advantage). If both the friction and ideal mechanical advantage are high enough, it will self-lock.

Proof

When a machine moves in the forward direction from point 1 to point 2, with the input force doing work on a load force, from conservation of energy the input work W 1,2 {\displaystyle W_{\text{1,2}}\,} is equal to the sum of the work done on the load force W load {\displaystyle W_{\text{load}}\,} and the work lost to friction

W 1,2 = W load + W fric (1) {\displaystyle W_{\text{1,2}}=W_{\text{load}}+W_{\text{fric}}\qquad \qquad (1)\,}

If the efficiency is below 50% η = W load / W 1,2 < 1 / 2 {\displaystyle \eta =W_{\text{load}}/W_{\text{1,2}}<1/2\,}

2 W load < W 1,2 {\displaystyle 2W_{\text{load}} 2 W load < W load + W fric {\displaystyle 2W_{\text{load}} W load < W fric {\displaystyle W_{\text{load}}

When the machine moves backward from point 2 to point 1 with the load force doing work on the input force, the work lost to friction W fric {\displaystyle W_{\text{fric}}\,} is the same

W load = W 2,1 + W fric {\displaystyle W_{\text{load}}=W_{\text{2,1}}+W_{\text{fric}}\,}

So the output work is

W 2,1 = W load − W fric < 0 {\displaystyle W_{\text{2,1}}=W_{\text{load}}-W_{\text{fric}}<0\,}

Thus the machine self-locks, because the work dissipated in friction is greater than the work done by the load force moving it backwards even with no input force

Modern machine theory

Kinematic chains

Classification of machines

The identification of simple machines arises from a desire for a systematic method to invent new machines. Therefore, an important concern is how simple machines are combined to make more complex machines. One approach is to attach simple machines in series to obtain compound machines.

However, a more successful strategy was identified by Franz Reuleaux , who collected and studied over 800 elementary machines. He realized that a lever, pulley, and wheel and axle are in essence the same device: a body rotating about a hinge. Similarly, an inclined plane, wedge, and screw are a block sliding on a flat surface.

This realization shows that it is the joints, or the connections that provide movement, that are the primary elements of a machine. Starting with four types of joints, the revolute joint , sliding joint , cam joint and gear joint , and related connections such as cables and belts, it is possible to understand a machine as an assembly of solid parts that connect these joints.

See also

References

  1. Chambers, Ephraim (1728), "Table of Mechanicks", Cyclopædia, A Useful Dictionary of Arts and Sciences , London, England, Volume 2, p. 528, Plate 11 .
  2. Paul, Akshoy; Roy, Pijush; Mukherjee, Sanchayan (2005), Mechanical sciences: engineering mechanics and strength of materials , Prentice Hall of India, p. 215, ISBN .
  3. ^ Asimov, Isaac (1988), Understanding Physics , New York, New York, USA: Barnes & Noble, p. 88, ISBN .
  4. Anderson, William Ballantyne (1914). Physics for Technical Students: Mechanics and Heat . New York, USA: McGraw Hill. pp. 112–122. Retrieved 2008-05-11 .
  5. ^ Compound machines , University of Virginia Physics Department, retrieved 2010-06-11 .
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Easier - A simple machine is a device that helps make work easier; a device that makes it easier to move something. Some simple machines are a wheel, a pulley, a lever, a screw, and an inclined plane. Harder - Most machines consist of a number of elements, such as gears and ball bearings, that work together in a complex way. No matter how complex a machine, it is still based on the compounding of six types of simple machines. The six types of machines are the lever, the wheel and axle, the pulley, the inclined plane, the wedge, and the screw. Background Information for Simple Machines from National Museum of Science and Technology , Canada http://www.science-tech.nmstc.ca/english/schoolzone/Info_Simple_Machines.cfm Here you can find the answers to some commonly asked questions about simple machines. The Elements of Machines: Simple Machines from Leonardo"s Workshop http://www.mos.org/sln/Leonardo/InventorsToolbox.html Learn about devices that make work easier to do by providing some tradeoff between the force applied and the distance over which the force is applied. Also provides a brief introduction to uses of a gear, cam, crank and rod, chain and belt, and the ratchet. Levers from Beakman & Jax http://www.beakman.com/lever/lever.html Play with levers and find out how work from the fulcrum to the load to the effort. (Wait for second page to come) Marvelous Machines http://www.galaxy.net:80/~k12/machines/index.shtml This website provides a series of experiments about simple machines: levers, wheels and inclined planes. They were developed for third grade students. (Comes up slowly )
After exploring some or all of the websites below, complete one or more of these activities: Investigate Wheels with Your Bicycle. Go to PBS Teachersource"s website and use your bicycle to learn about the wheel. Find Out How Stuff Works. Check out How Stuff Works . Look for a device that uses a simple machine as part of how it works. Create a poster showing how it works. Gear Up with a Tricycle & Bicycle. Visit PBS Teachersource"s site and follow the procedures there to learn a lot more about gears. Complete a Simple Machines WebQuest. Follow or adapt the procedures found at one of these webQuest sites: 1) Exploring Simple Machines by Paula Markowitz (Grade 4) http://www.lakelandschools.org/EDTECH/Machines/Machines.htm 2) Simple Machines http://www.eng.iastate.edu/twt/Course/packet/labs/wheels&leverLab.htm 3) Simple Machines WebQuest (Grade 4-6) http://www.plainfield.k12.in.us/hschool/webq/webq8/jjquest.htm 4) Simple Machines http://www.beth.k12.pa.us/schools/wwwclass/mcosgrove/simple.htm 5) Simple Machines Webquest http://www.jsd.k12.ak.us/ab/el/simplemachines.html Complete an Online Simple Machines Activity. Learn more about simple machines by following the directions at A Time for Simple Machines . You may also want to test your knowledge at Gadget Anatomy . Complete Some Simple Machine Experiments. Find lots of experiments at sites like Marvelous Machines and Motion, Energy and Simple Machines .
Websites For Kids Simple Machine Page for Kids http://www.san-marino.k12.ca.us/~summer1/machines/simplemachines.html This is a page on simple machines for kids with pictures. Simple Machines (Part of a ThinkQuest project: E"Ville Mansion! ) http://library.thinkquest.org/3447/simpmach.htm Learn about four simple machines (Inclined planes, pulley systems, levers, and the wheel and axle). All are mechanisms that convert energy to a more useful form. More Simple Machine Websites Mechanisms and Simple Machines from Introduction to Mechanisms at Carnegie Mellon University http://www.cs.cmu.edu/People/rapidproto/mechanisms/chpt2.html Here is advanced level material that covers inclined planes, gears, pulleys, and more. Motion, Energy and Simple Machines by J.S. Mason http://www.necc.mass.edu/MRVIS/MR3_13/start.htm This site investigates Newton"s Laws of Motion and the concepts of potential and kinetic energy. The concepts of force, friction, energy transfer, and mechanical advantage are explored as you build simple machines and investigate there operation. Oh No Lego® Wedgies! from Weird Richard http://weirdrichard.com:80/wedge.htm Explore the wedge, the active twin of the inclined plane. It does useful work by moving. In contrast, the inclined plane always remains stationary. Related Websites from Weird Richard: 2) Ladies and Gentlemen...The Inclined Plane! http://weirdrichard.com/inclined.htm 3) Oh Goody, Even More on Gears! http://weirdrichard.com/gears.htm 3) Those Crazy Lego® Screws! http://weirdrichard.com/screw.htm This site houses a collection of over seventy photographs of common, everyday simple machines. Simple Machines Demo (Pulley and Levers) http://www.cwru.edu/artsci/phys/courses/demos/simp.htm This demonstration explores the mechanical advantage of pulleys and levers and evaluates the concept of torque. Spotlight on Simple Machines from "inQuiry Almanack " at Franklin Institute http://sln.fi.edu/qa97/spotlight3/spotlight3.html Here you learn about simple machines that make work easier: inclined plane, lever, wedge, screw, pulley, and the wheel and axle. Websites for Teachers A First-Class Job http://www.aimsedu.org/Activities/oldSamples/FirstClass/job1.html What happens when the position of the fulcrum on a first-class lever is changed? Bicycles by J.P. Crotty from Yale-New Haven Teachers Institute http://pclt.cis.yale.edu/ynhti/curriculum/units/1987/6/87.06.01.x.html#h This is the site of a narrative unit plan that begins with the circle and proceeds to investigation of simple machines using the bicycle. Sketching Gadget Anatomy at The Museum of Science http://www.mos.org/sln/Leonardo/SketchGadgetAnatomy.html The idea for this lesson is that close observation and sketching lead to a better understanding of how machines work. Simple Machines (Grades 3-4) by C. Huddle http://www.lerc.nasa.gov/WWW/K- 12/Summer_Training/KaeAvenueES/SIMPLE_MACHINES.html These activities are designed to give students experiences in using simple machines. Similar Websites: 2) Simple Machines (Grade 3) by L. Wilkins http://www.ed.uiuc.edu/ylp/Units/Curriculum_Units/95-96/Simple_Machines_LWilkins/identify_simple_machines.html 3) Simple Machines (Grades 4-8) by B. Campbell

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