SIMPLE MACHINES: LEVER
The lever is a basic part of how things work in mechanics. It's like a sturdy stick or rod that can move around a fixed point called the fulcrum. This simple tool is really useful and can help us do lots of things more easily.
When we talk about "leverage," we mean how the lever makes things easier. By using a lever, we can make a small force do a bigger job. Scientists long ago saw the lever as one of the six simple machines because it's so important in making machines work.
In everyday life, a lever helps us get things done by letting us use less force over a longer distance to make stuff happen. Because of the way it's built, a lever can make tasks easier and quicker. Whether it's building something, making things in a factory, or just doing chores around the house, the lever helps us get the job done better.
So, the next time you use a lever, remember how it's a simple tool that makes big tasks easier by giving us a mechanical advantage and making our efforts more effective.
History of the Lever
The lever, one of the fundamental principles of mechanics, has a rich history dating back to ancient civilizations. From its early origins to its integral role in modern engineering and technology, the lever has been a cornerstone of human innovation and progress.
Ancient Origins: The concept of the lever likely emerged independently in various ancient civilizations, including Mesopotamia, Egypt, and Greece. Archaeological evidence suggests that early humans used simple levers, such as sticks or bars, to lift heavy objects and perform tasks with greater ease. The lever was instrumental in early agricultural practices, construction projects, and transportation systems.
Ancient Greek and Roman: The Greeks, particularly the mathematician and engineer Archimedes, made significant contributions to the understanding and application of the lever. Archimedes famously stated, "Give me a place to stand, and I shall move the earth," illustrating the concept of leverage. The Romans further refined the use of levers in engineering, construction, and warfare, employing them in aqueducts, siege engines, and lifting mechanisms.
Medieval and Renaissance Europe: During the Middle Ages and the Renaissance, the lever continued to be a crucial tool in various industries and applications. In agriculture, levers were used in plows, wagons, and other farming implements. They were also integral to the development of machinery in mills, workshops, and foundries. Inventors and artisans during this period further explored the principles of leverage and mechanical advantage, laying the groundwork for future innovations.
Industrial Revolution: The Industrial Revolution marked a transformative period in the history of the lever. With advancements in metallurgy, manufacturing, and engineering, levers became essential components of machinery, equipment, and transportation systems. They were used in textile mills, steam engines, locomotives, and factory automation processes, driving productivity and economic growth.
Modern Applications: In the modern era, levers remain ubiquitous in countless industries and technologies. They are found in everyday tools and devices, such as scissors, crowbars, bottle openers, and wrenches. Levers are also integral to the operation of machinery and equipment in manufacturing, construction, aerospace, automotive, and robotics industries.
Throughout history, the lever has exemplified the principles of simplicity, efficiency, and versatility. Its ability to amplify force and motion has enabled humans to overcome physical limitations and accomplish tasks of immense complexity. As a timeless symbol of ingenuity and innovation, the lever continues to shape the course of human progress in the twenty-first century and beyond.
Mechanical Advantage (MA)
A lever is a beam connected to ground by a hinge, or pivot, called a fulcrum. The ideal lever does not dissipate or store energy, which means there is no friction in the hinge or bending in the beam. In this case, the power into the lever equals the power out, and the ratio of output to input force is given by the ratio of the distances from the fulcrum to the points of application of these forces. This is known as the law of the lever. The mechanical advantage of a lever can be determined by considering the balance of moments or torque, T, about the fulcrum. If the distance traveled is greater, then the output force is lessened. The mechanical advantage of the lever is the ratio of output force to input force.
This relationship shows that the mechanical advantage can be computed from ratio of the distances from the fulcrum to where the input and output forces are applied to the lever, assuming no losses due to friction, flexibility or wear. This remains true even though the "horizontal" distance (perpendicular to the pull of gravity) of both a and b change (diminish) as the lever changes to any position away from the horizontal.
Classes of Levers and Common Uses
The lever is classified into three main types based on the relative positions of the fulcrum, load, and effort. In a first-class lever, the fulcrum lies between the load and the effort, such as in a seesaw or crowbar. Second-class levers have the load between the fulcrum and the effort, as seen in a wheelbarrow or a bottle opener. Third-class levers position the effort between the fulcrum and the load, commonly found in tools like tweezers or fishing rods.
Class I
Fulcrum between the effort and resistance: The effort is applied on one side of the fulcrum and the resistance (or load) on the other side, for example, a seesaw, a crowbar, or a pair of scissors, a common balance, a claw hammer. Mechanical advantage may be greater than, less than, or equal to 1.
Class II
Resistance (or load) between the effort and fulcrum: The effort is applied on one side of the resistance and the fulcrum is located on the other side, e.g. in a wheelbarrow, a nutcracker, a bottle opener or the brake pedal of a car, the load arm is smaller than the effort arm, and the mechanical advantage is always greater than one. It is also called force multiplier lever.
Class III
Effort between the fulcrum and resistance: The resistance (or load) is on one side of the effort and the fulcrum is located on the other side, for example, a pair of tweezers, a hammer, a pair of tongs, fishing rod or the mandible of a human skull. The effort arm is smaller than the load arm. Mechanical advantage is always less than 1. It is also called speed multiplier lever.