# The principle of maximizing mechanical advantage

Europeans in the Near East during the Crusades observed the windmill, and brought the idea back to Europe with them. Classic examples are a wheelbarrow, push-up exercise, or nutcracker. Archimedes, who was also the first to recognize the relationship between pulleys and levers, created the first fully realized block-and-tackle system using compound pulleys and cranes.

About the Lever Early studies The earliest remaining writings regarding levers date from the 3rd century BC and were provided by Archimedes. If the input arm is 5 units long and the output arm is 1 unit long, the mechanical advantage will be 5, but if the positions are reversed, it will be 0.

One can either raise the weight straight upward, expending an enormous amount of effort, even with a pulley system; or one can raise the weight gradually along an inclined plane.

There is nothing obvious about the wheel, and in fact, it is not nearly as old an invention as most people think.

As the wheel is, without a doubt, the greatest conceptual variation on the lever, so the screw may be identified as a particularly cunning adaptation of an inclined plane.

The right hand supplies the effort, jerking upward, while the fish is the load. What is Mechanical Advantage. As with machines in general, the greater the input, the greater the output.

In a Class I lever, such as the crowbar and the wrench, the fulcrum is between the input arm and the output arm. This pressure is distributed equally throughout and acts on every square inch of the 10 square inch area of the large piston.

The latter, by contrast, is exactly what it seems to be: Give me the place to stand, and I shall move the earth is a remark of Archimedes who formally stated the correct mathematical principle of levers quoted by Pappus of Alexandria. Wedges also stop other objects from moving: Likewise with a lever, greater leverage can be gained without applying more force: For this reason, it is often called the ideal mechanical advantage IMA.

This means that several teeth of one gearwheel are always in contact with several teeth of the adjacent wheel, thus providing greater torque. The simplest kind of compound pulley, with just two wheels, has a mechanical advantage of 2. Mechanical Principles The Rules of Sport Skill Technique Mechanical principles applied to sports are rules that govern the efficient execution of skills.

There is a close relationship between the behavior of the lever and the concept of torque, as, for example, the use of a wrench to remove a lug nut. How can this be? But the wheel was never just a machine for transport: During the early period of wheeled transportation, from to B.

Use of the lever gives the operator much greater lifting force than that available to a person who tried to lift with only the strength of his or her own body.

This means that if one increases the distance, a much smaller quantity of force is needed to achieve the same amount of work. This did not necessarily make them "primitive":Mechanical principles applied to sports are rules that govern the efficient execution of skills.

Using these rules as guides, athletes can build excellent technique and gain the greatest mechanical advantage. The location of these 3 components determines the mechanical advantage and the lever Since most human movement is aimed at maximizing angular displacement. The principle of the lever tells us that the fulcrum or pivot point to multiply the mechanical force that can be Mechanical Advantage of a.

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Hence, the mechanical advantage of a lever is always the same as the inverse ratio of the lever arm. If the input arm is 5 units long and the output arm is 1 unit long, the mechanical advantage will be 5, but if the positions are reversed, it will be What does Pascal's Principle state?

a) What is the Mechanical Advantage of a lever that can lift a pound weight using a load of 20 pounds.

a) b)

The principle of maximizing mechanical advantage
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