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Simple machine

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A simple machine is a mechanical device designed to change the direction or the magnitude of a force. These mechanisms are the fundamental building blocks used to create more complex systems. They utilize a principle known as mechanical advantage, which is also called leverage, to multiply an input force. By using a simple machine, a person can move a heavy load by applying a smaller amount of effort.

Six simple machines
Six simple machines

The way these machines function involves a specific trade-off between force and distance. When a machine increases the amount of output force, it does so at the cost of the distance moved by the load. This means the load moves a shorter distance than the input force moves. The ratio between the output force and the applied force is called the mechanical advantage. In an ideal simple machine, which is a theoretical model with no energy lost to friction or deformation, the work done on the load is exactly equal to the work done by the applied force.

Kinematics of Machinery - Figure 21
Kinematics of Machinery - Figure 21

There are six classical simple machines defined by scientists during the Renaissance. These include the lever, the wheel and axle, the pulley, the inclined plane, the wedge, and the screw.

Six simple machines
Six simple machines

Each machine operates through different mechanical actions, but they are mathematically similar. For example, the mechanical advantage of a lever is determined by the ratio of its lever arms. In a screw, which relies on rotational motion, the input force is expressed as torque. The mechanical advantage and the distance ratio can be calculated using the specific geometric dimensions of the device.

The history of these machines stretches back to ancient Greece. Around the 3rd century BC, the philosopher Archimedes studied the lever, the pulley, and the screw. He discovered the principle of mechanical advantage within the lever. Archimedes famously claimed that if he had a place to stand, he could move the Earth. This remark highlighted his realization that there is no limit to how much force can be amplified.

Archimedes lever
Archimedes lever

Later, Heron of Alexandria listed five mechanisms in his work, *Mechanics*, that could set a load in motion. These were the lever, windlass, pulley, wedge, and screw.

During the Renaissance, the study of these machines shifted toward dynamics. This meant looking at how far a load could be lifted rather than just the balance of forces. In 1586, the Flemish engineer Simon Stevin derived the mechanical advantage of the inclined plane, adding it to the classical list. In 1600, Galileo Galilei published *On Mechanics*. He proved that all these machines are mathematically similar force amplifiers. Galileo was the first to explain that machines do not create energy; they only transform it.

Archimedes lever
Archimedes lever

In the real world, machines are never perfectly ideal because of friction. Friction causes some of the input power to be lost as heat. This loss is measured as mechanical efficiency, which is the ratio of power out to power in. Because of these energy losses, the mechanical advantage of a real machine is always less than its theoretical velocity ratio.

BOLT SCREW UBT 199
BOLT SCREW UBT 199

When simple machines are connected in a series, they form a compound machine. A bicycle is a common example, as it uses wheels, levers, and pulleys together. The total mechanical advantage of a compound machine is the product of the mechanical advantages of all its parts.

Some machines possess a unique property called being self-locking. This occurs when friction is high enough to prevent the machine from moving backward under a load. A screw is a common example of a self-locking machine.

BOLT SCREW UBT 199
BOLT SCREW UBT 199

You can turn a screw to drive it forward, but pushing on the screw will not make it turn backward. This happens because the work lost to friction is greater than the work the load could do to move the machine in reverse. A machine will be self-locking if its efficiency is below 50%. This property is very useful for tools like wedges and inclined planes that must hold a load in place.

Modern science has moved beyond the Renaissance view of simple machines as the ultimate building blocks. During the Industrial Revolution, the development of sophisticated machine linkages changed how we view mechanics. By the late 1800s, Franz Reuleaux identified hundreds of different machine elements. Today, modern machine theory analyzes systems as kinematic chains. These chains are composed of elementary linkages known as kinematic pairs. This allows engineers to study machines as complex systems of actuators, mechanisms, sensors, and controllers.

Kinematics of Machinery - Figure 21
Kinematics of Machinery - Figure 21
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Six simple machines.png
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Archimedes lever.png
File:BOLT SCREW UBT 199.JPG
BOLT SCREW UBT 199.JPG
File:Kinematics of Machinery - Figure 21.jpg
Kinematics of Machinery - Figure 21.jpg
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