Module 2 Applications of Statics

Simple Machines

A simple machine is a device that changes the direction of a force or augments a force; simple machines fall into six categories.

Learning Objectives

Develop an understanding of how a machine applies force to work against a load force

Key Takeaways

Key Points

  • The six classifications of simple machines were established by renaissance scientists; they are as follows: lever, wheel and axle, pulley, inclined plane, wedge and screw.
  • Simple machines can be joined with other devices to create a more complicated machine. These building blocks are used to explain how machines work.
  • The force output by a simple machine can exceed the force that was put into the machine.

Key Terms

  • machine: A mechanical or electrical device that performs or assists in the performance of human tasks, whether physical or computational, laborious or for entertainment.
  • leverage: A force amplified by means of a lever rotating around a pivot.
  • mechanical advantage: In a simple machine, the ratio of the output force to the input force.

Simple Machines

A simple machine is a device that changes the direction or magnitude of a force. They can be described as the simplest mechanisms that use mechanical advantage (or leverage) to multiply force. Usually, the term “simple machine” is referring to one of the six classical simple machines, defined by Renaissance scientists.

http://www.youtube.com/watch?v=BJ9MELhhW6U

Simple Machines, Pulleys; Forces, Distances and MA: Describes the following terms as they relate to simple machine; input force, output force, input distance, output distance, mechanical advantage.

Simple machines are devices used to multiply or augment a force that we apply—often at the expense of a distance through which we apply the force. Some common examples include:

  • Lever
  • Wheel and Axle
  • Pulley
  • Inclined Plane
  • Wedge
  • Screw

When a device with a specific movement, called a mechanism, is joined with others to form a machine, these machines can be broken down into elementary movements. For example, a bicycle is a mechanism made up of wheels, levers, and pulleys.

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Simple Machines: Table of simple mechanisms, from Chambers’ Cyclopedia, 1728. [1] Simple machines provide a “vocabulary” for understanding more complex machines.

Mechanics

A simple machine has an applied force that works against a load force. If there are no frictional losses, the work done on the load is equal to the work done by the applied force. This allows an increase in the output force at the cost of a proportional decrease in distance moved by the load. The ratio of the output force to the input force is the mechanical advantage of the machine. If the machine does not absorb energy, its mechanical advantage can be calculated from the machine’s geometry. For instance, the mechanical advantage of a lever is equal to the ratio of its lever arms.

Simple machines which do not experience frictional losses are called ideal machines. For these ideal machines, the power in (rate of energy input) in equal to the power out (rate of energy output): [latex]\text{P}_{\text{in}}=\text{P}_{\text{out}}[/latex].

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Lever: The amount of force produced by a machine can not be greater than the amount of force put into it.

Further Examples

Wheelbarrows and shovels are also examples of simple machines (these utilize levers). They use only three forces: the input force, output force, and force on the pivot. In the case of wheelbarrows, the output force is between the pivot (wheel’s axle) and the input force. In the shovel, the input force is between the pivot and the load.

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Examples of Simple Machines: Both of these machines use the concept of levers.