| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
Which class of lever offers no mechanical advantage?
first |
|
none of these, all levers offer mechanical advantage |
|
second |
|
third |
A third-class lever is used to increase distance traveled by an object in the same direction as the force applied. The fulcrum is at one end of the lever, the object at the other, and the force is applied between them. This lever does not impart a mechanical advantage as the effort force must be greater than the load but does impart extra speed to the load. Examples of third-class levers are shovels and tweezers.
| 10 ft⋅lb | |
| 2 ft⋅lb | |
| 20 ft⋅lb | |
| 40 ft⋅lb |
Which of the following is not true of a first-class lever?
increases distance |
|
decreases distance |
|
increases force |
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changes the direction of force |
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.
| 0.36 ft. | |
| 50 ft. | |
| 2.14 ft. | |
| 0.71 ft. |
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 db, our missing value, and plugging in our variables yields:
db = \( \frac{R_ad_a}{R_b} \) = \( \frac{10 lbs. \times 5 ft.}{70 lbs.} \) = \( \frac{50 ft⋅lb}{70 lbs.} \) = 0.71 ft.
A screw is most like which of the following other simple machines?
first-class lever |
|
inclined plane |
|
wheel and axle |
|
block and tackle |
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.