| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
The mechanical advantage of a block and tackle is equal to which of the following?
the number of pulleys |
|
the number of loads |
|
the number of connecting ropes |
|
the number of input forces |
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.
Which of the following is not a type of bridge?
cable |
|
truss |
|
block |
|
arch |
The six basic bridge forms are beam, truss, arch, cantilever, cable, and suspension.
Concurrent forces:
act in a common plane |
|
act in a common dimension |
|
pass through a common point |
|
act along the same line of action |
Collinear forces act along the same line of action, concurrent forces pass through a common point and coplanar forces act in a common plane.
A ramp is an example of which kind of simple machine?
wedge |
|
none of these |
|
inclined plane |
|
first-class lever |
An inclined plane is a simple machine that reduces the force needed to raise an object to a certain height. Work equals force x distance and, by increasing the distance that the object travels, an inclined plane reduces the force necessary to raise it to a particular height. In this case, the mechanical advantage is to make the task easier. An example of an inclined plane is a ramp.
| 7 ft. | |
| 1.4 ft. | |
| 350 ft. | |
| 5.6 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 da, our missing value, and plugging in our variables yields:
da = \( \frac{R_bd_b}{R_a} \) = \( \frac{40 lbs. \times 7 ft.}{50 lbs.} \) = \( \frac{280 ft⋅lb}{50 lbs.} \) = 5.6 ft.