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Mechanical Comprehension

What type of load doesn't create specific stress points or vary with time?

static uniformly distributed load

A concentrated load acts on a relatively small area of a structure, a static uniformly distributed load doesn't create specific stress points or vary with time, a dynamic load varies with time or affects a structure that experiences a high degree of movement, an impact load is sudden and for a relatively short duration and a non-uniformly distributed load creates different stresses at different locations on a structure.

Word Knowledge

Mandate most nearly means:

command

An official order or commission to do something.

Automotive Information

The two major types of vehicle braking systems are:

drum and disc

Brakes utlize friction to slow vehicle tires. Drum brakes employ a cast iron drum that roates with the vehicle axle. When hydraulic pressure is applied to the brake assemblies at the wheels, internal pistons expand and push brake shoes outward into contact with the brake drum slowing the rotation of the axle. More powerful disc brakes operate by pinching a rotating disc betweeen two brake pads and allow for a larger surface area to contact the disc, provide more force, and are more easily cooled.

Math Knowledge

Simplify (5a)(2ab) - (9a²)(3b).

-17a²b

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(2ab) - (9a²)(3b)
(5 x 2)(a x a x b) - (9 x 3)(a² x b)
(10)(a¹⁺¹ x b) - (27)(a²b)
10a²b - 27a²b
-17a²b

Arithmetic Reasoning

If there were a total of 350 raffle tickets sold and you bought 24 tickets, what's the probability that you'll win the raffle?

You have 24 out of the total of 350 raffle tickets sold so you have a (\( \frac{24}{350} \)) x 100 = \( \frac{24 \times 100}{350} \) = \( \frac{2400}{350} \) = 7% chance to win the raffle.

General Science

Which of the following is true about species groups?

a community is made up of a group of populations

A population is a group of organisms of the same species who live in the same area at the same time. A community is a group of populations living and interacting with each other in an area.

Word Knowledge

Veronique found that listening to French music was an antidote for her homesickness.

cure

Something that relieves or counteracts.

General Science

Which of the following is a decomposer?

fungi

Decomposers (saprotrophs) are organisms such as bacteria and fungi that break down the organic matter in the dead bodies of plants and animals into simple nutrients.

Word Knowledge

The frugal shopper only bought items that were on sale.

sparing

Thrifty, cheap.

Mechanical Comprehension

If the green box weighs 20 lbs. and is 1 ft. from the fulcrum, how far from the fulcrum would a 70 lbs. force need to be applied to balance the lever?

0.29 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:

R_ad_a = R_bd_b

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 d_b, our missing value, and plugging in our variables yields:

d_b = \( \frac{R_ad_a}{R_b} \) = \( \frac{20 lbs. \times 1 ft.}{70 lbs.} \) = \( \frac{20 ft⋅lb}{70 lbs.} \) = 0.29 ft.