| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
A block and tackle with four pulleys would have a mechanical advantage of:
2 |
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0 |
|
4 |
|
1 |
Two or more pulleys used together constitute a block and tackle which, unlike a fixed pulley, does impart mechanical advantage as a function of the number of pulleys that make up the arrangement. So, for example, a block and tackle with three pulleys would have a mechanical advantage of three.
A fixed pulley is useful for which of the following?
changing the direction of the output force |
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multiplying the input force |
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multiplying the input distance |
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changing the direction of the input force |
A fixed pulley is used to change the direction of a force and does not multiply the force applied. As such, it has a mechanical advantage of one. The benefit of a fixed pulley is that it can allow the force to be applied at a more convenient angle, for example, pulling downward or horizontally to lift an object instead of upward.
| 52.5 lbs. | |
| 105 lbs. | |
| 210 lbs. | |
| 420 lbs. |
To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.Solving for Ra, our missing value, and plugging in our variables yields:
Ra = \( \frac{R_bd_b}{d_a} \) = \( \frac{60 lbs. \times 7 ft.}{8 ft.} \) = \( \frac{420 ft⋅lb}{8 ft.} \) = 52.5 lbs.
| 4 | |
| -1 | |
| 1 | |
| 2 |
Mechanical advantage is resistance force divided by effort force:
MA = \( \frac{F_r}{F_e} \) = \( \frac{160 lbs.}{40 lbs.} \) = 4
Collinear forces:
are unrelated to each other |
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act in a common plane |
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act along the same line of action |
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pass through a common point |
Collinear forces act along the same line of action, concurrent forces pass through a common point and coplanar forces act in a common plane.