ASVAB Mechanical Comprehension Practice Test 557791 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

The mechanical advantage of a block and tackle is equal to which of the following?

69% Answer Correctly

the number of input forces

the number of loads

the number of connecting ropes

the number of pulleys


Solution

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.


2

An inclined plane increases ___________ to reduce ____________.

58% Answer Correctly

force, power

distance, power

force, distance

distance, force


Solution

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.


3

The force required to initally get an object moving is __________ the force required to keep it moving. 

76% Answer Correctly

the same as

lower than

opposite

higher than


Solution

For any given surface, the coefficient of static friction is higher than the coefficient of kinetic friction. More force is required to initally get an object moving than is required to keep it moving. Additionally, static friction only arises in response to an attempt to move an object (overcome the normal force between it and the surface).


4 If a 45 lbs. weight is placed 1 ft. from the fulcrum at the blue arrow and the green box is 8 ft. from the fulcrum, how much would the green box have to weigh to balance the lever?
61% Answer Correctly
22.5 lbs.
45 lbs.
5.63 lbs.
1.41 lbs.

Solution

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 = \( \frac{R_bd_b}{d_a} \) = \( \frac{45 lbs. \times 1 ft.}{8 ft.} \) = \( \frac{45 ft⋅lb}{8 ft.} \) = 5.63 lbs.


5 If the green box weighs 60 lbs. and is 9 ft. from the fulcrum, how far from the fulcrum would a 50 lbs. force need to be applied to balance the lever?
58% Answer Correctly
0 ft.
32.4 ft.
10.8 ft.
3.6 ft.

Solution

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 = \( \frac{R_ad_a}{R_b} \) = \( \frac{60 lbs. \times 9 ft.}{50 lbs.} \) = \( \frac{540 ft⋅lb}{50 lbs.} \) = 10.8 ft.