| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.67 |
| Score | 0% | 53% |
Which of the following statements about this pulley configuration is false?
Only multiplies the effort force |
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This is a block and tackle pulley configuration |
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Changes the direction of and multiplies the effort force |
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Mechanical advantage is the number of ropes that support the resistance |
A block and tackle is a combination of one or more fixed pulleys and one or more movable pulleys where the fixed pulleys change the direction of the effort force and the movable pulleys multiply it. The mechanical advantage is equal to the number of times the effort force changes direction and can be increased by adding more pulley wheels to the system. An easy way to find the mechanical advantage of a block and tackle pulley system is to count the number of ropes that support the resistance.
The measure of how much of the power put into a machine is turned into movement or force is called:
power |
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efficiency |
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mechanical advantage |
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force multiplication |
The efficiency of a machine describes how much of the power put into the machine is turned into movement or force. A 100% efficient machine would turn all of the input power into output movement or force. However, no machine is 100% efficient due to friction, heat, wear and other imperfections that consume input power without delivering any output.
| 0 lbs. | |
| 72.5 lbs. | |
| 96.67 lbs. | |
| 24.17 lbs. |
fAdA = fBdB + fCdC
For this problem, this equation becomes:
25 lbs. x 10 ft. = 35 lbs. x 3 ft. + fC x 6 ft.
250 ft. lbs. = 105 ft. lbs. + fC x 6 ft.
fC = \( \frac{250 ft. lbs. - 105 ft. lbs.}{6 ft.} \) = \( \frac{145 ft. lbs.}{6 ft.} \) = 24.17 lbs.
| 0 lbs. | |
| 6 lbs. | |
| 22.5 lbs. | |
| 90 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 Ra, our missing value, and plugging in our variables yields:
Ra = \( \frac{R_bd_b}{d_a} \) = \( \frac{60 lbs. \times 9 ft.}{6 ft.} \) = \( \frac{540 ft⋅lb}{6 ft.} \) = 90 lbs.
A wedge converts force applied to its blunt end into force __________ its inclined surface.
along |
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perpendicular to |
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opposite to |
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parallel to |
The wedge is a moving inclined plane that is used to lift, hold, or break apart an object. A wedge converts force applied to its blunt end into force perpendicular to its inclined surface. In contrast to a stationary plane where force is applied to the object being moved, with a wedge the object is stationary and the force is being applied to the plane. Examples of a wedge include knives and chisels.