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Questions | 5 | 5 |
Correct | 0 | 3.27 |
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Mechanical advantage is resistance force divided by effort force:
MA = \( \frac{F_r}{F_e} \) = \( \frac{450 lbs.}{90 lbs.} \) = 5
Which of the following is not true of a first-class lever?
decreases distance |
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increases force |
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changes the direction of force |
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increases distance |
A first-class lever is used to increase force or distance while changing the direction of the force. The lever pivots on a fulcrum and, when a force is applied to the lever at one side of the fulcrum, the other end moves in the opposite direction. The position of the fulcrum also defines the mechanical advantage of the lever. If the fulcrum is closer to the force being applied, the load can be moved a greater distance at the expense of requiring a greater input force. If the fulcrum is closer to the load, less force is required but the force must be applied over a longer distance. An example of a first-class lever is a seesaw / teeter-totter.
53.57 lbs. | |
0 lbs. | |
17.86 lbs. | |
71.43 lbs. |
To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.Solving for Rb, our missing value, and plugging in our variables yields:
Rb = \( \frac{R_ad_a}{d_b} \) = \( \frac{25 lbs. \times 5 ft.}{7 ft.} \) = \( \frac{125 ft⋅lb}{7 ft.} \) = 17.86 lbs.
The force amplification achieved by using a tool, mechanical device or machine system is called:
work |
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mechanical advantage |
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efficiency |
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power |
Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system. Such a device utilizes input force and trades off forces against movement to amplify and/or change its direction.
A screw is most like which of the following other simple machines?
first-class lever |
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block and tackle |
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wheel and axle |
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inclined plane |
A screw is an inclined plane wrapped in ridges (threads) around a cylinder. The distance between these ridges defines the pitch of the screw and this distance is how far the screw advances when it is turned once. The mechanical advantage of a screw is its circumference divided by the pitch.