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Class 1 lever
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Effort 150 lb Load MA = 3
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Example: In the illustration shown, the load and mechanical advantage are known, and the effort needed can be calculated: load MA = _____ effort 150 lbs 150 lbs 3 = _______ = _______ (x) effort 3(x) = 150 lbs x = 50 lbs The trade off, however, is that the effort (force) will have to move (down) a greater distance and the load will move (rise up) a smaller distance Conversely, if the fulcrum is moved closer to the effort (force) being applied, greater effort (force) will be required to lift the resistance force (load) but the effort (force) will have to move a shorter distance and the resistance force (load) will move (rise up) a greater distance
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Note: Another mechanical principle formula that can be used to calculate the value of lever systems is the following:
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Force Effort Distance = Load Resistance Distance Example: A 300-pound weight is placed on the end of a plank 3 feet from a fulcrum How much effort (force) would a re ghter have to exert on the opposite end of the plank at 9 feet from the fulcrum to obtain equilibrium
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PART III: REVIEW FOR THE WRITTEN EXAMINATION
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Force Effort Distance = Load Resistance Distance (x) 9 feet = 300 pounds 3 feet Divide both sides by 9 to isolate the variable (x) 9 feet 300 pounds 3 feet _________ = _________________ 9 feet 9 feet 300 pounds (x) = __________ = 100 pounds 3 MA = 3
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SECOND-CLASS LEVER
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In a second-class lever the resistance force (load) is between the effort (force) and the fulcrum The fulcrum will normally be closer to the load and therefore reduces the effort (force) required to accomplish the job at hand An example of a second-class lever is the wheelbarrow Its mechanical advantage is greater than 1 A second-class lever always enhances effort (force) Unlike the rst-class lever, a second-class lever does not change the direction of effort (force) Pushing up (exerting force) on a second-class lever pushes up on the (load); conversely, pushing down on a second-class lever pushes down on the load Other examples of second-class levers are a nutcracker, a bellows, a paper cutter, and a bottle opener
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td Effor istan ce: 3 ft
(to nce ft dista d): 15 Load of loa er cent
Load
Fulcrum
Effort
Example: A wheelbarrow lled with building materials weighing 100 pounds that is 15 feet from the wheel would require how much force to lift it off the ground using handles that are 3 feet from the load What is the mechanical advantage Force Effort Distance = Load Resistance Distance (x) 3 ft = 100 lb 15 ft Divide both sides by 3 ft to isolate the variable 100 lbs 3 ft (36 in) 100 lbs 15 ft (18 in) (x) = _________________ = ___________________ 3 ft 3 ft 100 lbs 15 ft (18 in) (x) = ___________________ 3ft (36 in) 100 lbs _______ (x) = 2 x = 50 lbs If effort is 50 lbs to move a load of 100 pounds, the MA = 2
CHAP 9: PRINCIPLES OF MECHANICS
THIRD-CLASS LEVER
A third-class lever has the effort (force) between the fulcrum and the resistance force (load) In a third-class lever, the effort (force) required to lift the load is actually increased and, therefore, the mechanical advantage is less than 1 The trade-off, however, is an increase in speed and distance of travel of the load An example of a third-class lever is a shovel The worker s hands supply the effort (force) while the elbows act as a fulcrum The load (soil, sand, coal) is moved at the end of the shovel As in the second-class lever, the direction of effort (force) does not change Examples of third-class levers are a pitchfork, tweezers, a hoe, tongs, and a broom
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