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Simple Machines Give me a lever long enough, and a fulcrum on which to place it, and I will move the world. Aristotle
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Simple Machines As we study engineering it is critical that students understand the basic concepts of the six simple machines. Simple machine provide the foundation of all mechanical movement. * From the doorknob on the door of your room * to the keyboard and mouse attached to your computer * to welding robots, one or more of the six simple machines are used. *
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Simple Machines Definitions:
Work - done when an applied force causes an object to move in the direction of the force Energy - ability to cause change; can change the speed, direction, shape, or temperature of an object Load - the weight being lifted by the simple machine. Also called resistance, resistance load, load force , resistance force, output force
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Simple Machines Definitions
Effort - effort is the force placed on the simple machine to move the load. Also called applied force , effort force or input force Mechanical Advantage - It is useful to think about a machine in terms of the input force (the force you apply) and the output force (force which is applied to the task). When a machine takes a small input force and increases the magnitude of the output force, a mechanical advantage has been produced.
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Mechanical Advantage Is the number of times a machine multiplies the effort force. MA= output/input Mechanical Advantage (MA) = resistance force (FR) effort force (FE)
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Simple Machines A machine is a device that helps make work easier to perform by accomplishing one or more of the following functions: transferring a force from one place to another changing the direction of a force increasing the magnitude of a force increasing the distance or speed of a force
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Types of Simple Machines
Two groups: Inclined planes Ramp Wedge Screw Levers Lever Wheel & Axle Pulley
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The Lever A lever is a rigid bar that rotates around a fixed point called the fulcrum. The bar may be either straight or curved. In use, a lever has both an effort (or applied) force and a load (resistant force).
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The 3 Classes of Levers The class of a lever is determined by the location of the effort force and the load relative to the fulcrum.
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Lever EXAMPLES Levers are quite possibly the most diverse of the simple machines. Levers are used to lift loads, as tools and even in mouse traps. *
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First Class Lever In a first-class lever the fulcrum is located at some point between the effort and resistance forces. A first-class lever always changes the direction of force (i.e. a downward effort force on the lever results in an upward movement of the resistance force). Examples - crowbars, scissors, pliers, tin snips and seesaws.
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Fulcrum is between FE (effort) and FR (load) Effort moves farther than Resistance. Multiplies FE and changes its direction
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Second Class Lever The load is located between the fulcrum and the
effort force. A second-class lever does not change the direction of force. When the fulcrum is located closer to the load than to the effort force, an increase in mechanical advantage results. Examples - nut crackers, wheel barrows, doors, and bottle openers.
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Effort and Fulcrum on opposite side of the Load
Types of Levers Effort Load An example of a second class lever * would be a wheel barrow. * Fulcrum Second Class Effort and Fulcrum on opposite side of the Load
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FR (load) is between fulcrum and FE Effort moves farther than Resistance. Multiplies FE, but does not change its direction
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Third Class Lever With a third-class lever, the effort force is applied between the fulcrum and the resistance force. A third-class lever does not change the direction of force; third-class levers always produce a gain in speed and distance and a corresponding decrease in force. Examples of third-class levers include tweezers, hammers, and shovels.
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FE is between fulcrum and FR (load) Does not multiply force Resistance moves farther than Effort. Multiplies the distance the effort force travels
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Wheel and Axle The wheel and axle is a simple machine consisting of a large wheel rigidly secured to a smaller wheel or shaft, called an axle. When either the wheel or axle turns, the other part also turns. One full revolution of either part causes one full revolution of the other part.
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Wheel and Axle EXAMPLES
The wheel and axle are used on most transportation devices. Gears are also considered to be in the wheel and axle category. *
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Pulley A pulley consists of a grooved wheel that turns freely in a frame called a block. A pulley can be used to simply change the direction of a force or to gain a mechanical advantage, depending on how the pulley is arranged.
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Fixed Pulley A pulley is said to be a fixed pulley if it does not rise or fall with the load being moved. A fixed pulley changes the direction of a force; however, it does not create a mechanical advantage.
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Moveable Pulley A moveable pulley rises and falls with the load that is being moved. A single moveable pulley creates a mechanical advantage; however, it does not change the direction of a force. The mechanical advantage of a moveable pulley is equal to the number of ropes that support the moveable pulley.
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Pulley EXAMPLES Pulleys are used in many places including the rigging of sailboats and the lifting mechanisms of cranes. *
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Inclined Plane An inclined plane is an even sloping surface. The inclined plane makes it easier to move a weight from a lower to higher elevation.
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Inclined Plane The mechanical advantage of an inclined plane is equal to the length of the slope divided by the height of the inclined plane. While the inclined plane produces a mechanical advantage, it does so by increasing the distance through which the force must move.
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Although it takes less force for car A to get to the top of the ramp, all the cars do the same amount of work. A B C
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Inclined Plane EXAMPLES
Inclined planes are everywhere. Since we use wheels as our primary mode of transportation we must have ramps that are inclined planes to reduce the amount of force needed to go up and down. *
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Wedge The wedge is a modification of the inclined plane. Wedges are used as either separating or holding devices. A wedge can either be composed of one or two inclined planes. A double wedge can be thought of as two inclined planes joined together with their sloping surfaces outward.
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Mechanical Advantage = Length / Width
Wedge 3 ft. 1 ft. The ideal mechanical advantage of a wedge is determined by dividing it’s length by it’s width. The wedge has a length of three feet and a width of one foot. Three divided by one equals three so this wedge, like the inclined plane in the slides before, has a mechanical advantage of three. * Mechanical Advantage = Length / Width MA = 3/1 MA = 3
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Screw The screw is also a modified version of the inclined plane.
While this may be somewhat difficult to visualize, it may help to think of the threads of the screw as a type of circular ramp (or inclined plane).
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MA of an screw can be calculated by dividing the number of turns per inch.
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Screw EXAMPLES Screws are used as fasteners, to make holes and even as spiral staircases to fit a stairway into a small area. *
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Efficiency We said that the input force times the distance equals the output force times distance Input Force x Distance = Output Force x Distance However, some output force is lost due to friction. The comparison of work input to work output is called efficiency. No machine has 100 percent efficiency due to friction.
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What are Compound or Complex Machines?
Two or more simple machines working together Most of the machines we use today are compound machines
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Practice Questions Why is it not possible to have a machine with 100% efficiency? What is effort force? What is work input? Explain the relationship between effort force, effort distance, and work input.
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Practice Questions 1. Why is it not possible to have a machine with 100% efficiency? Friction lowers the efficiency of a machine. Work output is always less than work input, so an actual machine cannot be 100% efficient. 2. What is effort force? What is work input? Explain the relationship between effort force, effort distance, and work input. The effort force is the force applied to a machine. Work input is the work done on a machine. The work input of a machine is equal to the effort force times the distance over which the effort force is exerted.
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