MCSection 9

Mechanical Comprehension

Physical reasoning about machines, forces, fluids and structures.

15 items22 minutes~88 sec / item60 free questions
What the section measures

Mechanical Comprehension measures your understanding of mechanical and physical principles applied to everyday situations: levers, gears, pulleys, inclined planes, friction, pressure, buoyancy, and how structures carry loads. Items often come with a simple diagram of a machine or a physical setup, and you choose the answer that follows from the mechanics.

This is a reasoning section rather than a formula section. You will rarely need to compute; you need to know what a machine does to force and distance, how pressure behaves in a fluid, and which way an object moves when forces are unbalanced. The most common failure is answering from intuition about how things feel rather than from the principle.

MC is not part of the AFQT, but it is one of the most valuable subtests for mechanical and maintenance jobs, and the line scores that use it are the reason many candidates study it even though it cannot affect eligibility itself.

At a glance

Items
15
Minutes
22
Per item
88s

Section 9 of 10 in our timed mock template. This subtest is not part of the AFQT; it feeds service component and line scores used for job qualification.

Topics in this section

  • Force & Motion - 12 free questions
  • Simple Machines - 12 free questions
  • Gears & Pulleys - 12 free questions
  • Fluids & Hydraulics - 12 free questions
  • Structures & Loads - 12 free questions
Item types

What you will actually see

The shapes below are what our bank is written against, and what the section is built around. None of them are reproduced from the official test.

  • Simple-machine items: levers, pulleys, gears, inclined planes, wedges, screws and wheel-and-axle.
  • Force and motion: balanced and unbalanced forces, friction, gravity, momentum and inertia.
  • Fluid items: pressure with depth, buoyancy, displacement, flow through a constriction, and hydraulics.
  • Structures and loads: which shapes and arrangements are strongest, tension and compression, and stability.
  • Work and mechanical advantage: trading force for distance, and why you cannot get something for nothing.
Topic by topic

How to work each topic

Specific, not generic: what the items in this topic test, and the one or two moves that solve most of them.

Force & Motion

An object moves in the direction of the net force, and it keeps moving without a force once it is going - the everyday intuition that things naturally slow down is friction, not a law. Heavier objects have more inertia. Friction opposes motion and increases with how hard surfaces are pressed together, and it is largely independent of contact area, which surprises most test-takers.

12 original questions in this topic set.

Simple Machines

Every machine trades force for distance. Mechanical advantage is output force over input force; a lever multiplies force when the effort arm is longer than the load arm, an inclined plane reduces the force needed by increasing the distance travelled, and a single fixed pulley changes only direction with no advantage at all. That last one is the most-tested exception, so know it cold.

12 original questions in this topic set.

Gears & Pulleys

Meshed gears turn in opposite directions, and speed is inversely proportional to tooth count: a 10-tooth driver turning a 30-tooth gear makes the large gear spin at a third of the speed with three times the torque. A belt connecting two pulleys makes them turn the same way, with speed inversely proportional to diameter. For block-and-tackle, count the rope segments actually supporting the load to get the ideal advantage.

12 original questions in this topic set.

Fluids & Hydraulics

Pressure in a static fluid depends on depth and density, not on the shape or width of the container, which is why a narrow deep column can exert more pressure than a wide shallow one. Buoyancy equals the weight of displaced fluid - a floating object displaces its own weight - so whether something sinks depends on density relative to the fluid. In flowing fluid, faster movement means lower pressure, and a constriction speeds the flow up. Hydraulics transmit pressure undiminished, so a small piston over a small area moves a large piston over a large area with multiplied force and reduced travel.

12 original questions in this topic set.

Structures & Loads

Triangles are rigid; rectangles rack. Loads create compression, tension, bending and torsion, and the strongest arrangement puts material where the stress is greatest. For stability, a lower centre of gravity and a wider base both help, and a tall narrow object topples when its centre of gravity moves outside its base.

12 original questions in this topic set.

Worked examples

Original questions, answered

Sampled from the Mechanical Comprehension bank below, spread across its topics so you can see the range. The correct option is marked, the method is written out, and the tempting wrong options are explained - the same format you get in the app the moment you answer.

Example 1Force & MotionMechanical Comprehension · difficulty 1/5

A book lying on a level desk stays there, and a puck sliding on frictionless ice keeps its speed and heading. What is required to change either object's motion?

  1. AA larger mass
  2. BA net external force
  3. CA greater weight
  4. DAn internal spring force
Answer B

Newton's first law states that velocity changes only when an unbalanced external force acts, so with zero net force an object at rest stays at rest and a moving object continues in a straight line at constant speed.

Why the other choices are wrong
  • A A larger mass - Mass measures how hard an object is to accelerate, but mass alone changes nothing.
  • C A greater weight - Weight is one particular force; an object can carry weight and still move uniformly.
  • D An internal spring force - Forces between parts of an object cancel in pairs and cannot move the object as a whole.
Example 2Simple MachinesMechanical Comprehension · difficulty 1/5

Which simple machine is essentially an inclined plane wound around a cylinder?

  1. AA wedge
  2. BA pulley
  3. CA screw
  4. DA wheel and axle
Answer C

A screw thread is a ramp wrapped into a helix: each turn drives the load forward by the pitch while the effort travels the whole length of the circle.

Why the other choices are wrong
  • A A wedge - A wedge is one or two sloping faces that push material apart by direct motion, not a helix.
  • B A pulley - A pulley is a grooved wheel that redirects a rope.
  • D A wheel and axle - A wheel and axle is two coaxial radii that trade force for distance, with no spiral surface.
Example 3Gears & PulleysMechanical Comprehension · difficulty 1/5

An open (uncrossed) belt connects a 5 cm driving pulley to a 15 cm pulley. How does the large pulley turn?

  1. AAt three times the driver's speed, in the same direction
  2. BAt one third of the driver's speed, in the opposite direction
  3. CAt the same speed as the driver, in the same direction
  4. DAt one third of the driver's speed, in the same direction
Answer D

Both pulleys ride the same belt speed, so turning rate varies inversely with diameter: 5 / 15 = 1/3, and an uncrossed belt does not reverse direction.

Why the other choices are wrong
  • A At three times the driver's speed, in the same direction - Three times the speed would require the smaller pulley to be the driven member.
  • B At one third of the driver's speed, in the opposite direction - The speed ratio is right, but an open belt leaves both pulleys revolving alike.
  • C At the same speed as the driver, in the same direction - Equal speeds occur only when the two pulleys have equal diameters.
Example 4Fluids & HydraulicsMechanical Comprehension · difficulty 1/5

Which property of a liquid describes how strongly it resists flowing?

  1. AViscosity
  2. BDensity
  3. CSurface tension
  4. DSpecific gravity
Answer A

Viscosity is internal friction between moving layers of fluid; honey and oil have high viscosity, water low, and both flow far more easily when warmed.

Why the other choices are wrong
  • B Density - Density is mass per unit volume and says nothing about how easily the liquid moves.
  • C Surface tension - Surface tension is the skin-like effect at a liquid's surface caused by molecular attraction.
  • D Specific gravity - Specific gravity compares a liquid's density with the density of water.
Strategy

How to study Mechanical Comprehension

  • For every machine, ask the same two questions: which way does it move, and did force increase or distance increase? The answer to the second determines the answer to the first almost every time.
  • Draw arrows for forces. Direction errors dominate MC, and a two-arrow sketch on the scratch paper settles most items.
  • Learn the four counter-intuitive results that appear repeatedly: the fixed pulley gives no advantage, friction ignores area, fluid pressure depends on depth not container shape, and floating objects displace their own weight.
  • For gear trains, track only the first and last wheel and count the reversals - an odd number of meshes reverses direction, an even number does not.
  • When an item is about a system rather than a value, eliminate answers that require calculation you were never given data for.
Point loss

Mistakes that cost the most

  • Assuming a machine increases work. It never does - work in is at least work out, and the gain in force is paid for in distance.
  • Answering "heavier objects fall faster" or "bigger objects float better" from feel instead of the principle being tested.
  • Forgetting that meshed gears reverse direction while belted pulleys do not.
  • Confusing pressure with force: a hydraulic system multiplies force, not energy.
  • Reading a diagram too quickly and missing which point the effort or the load is applied at.

On the clock

MC is 16 items in 20 minutes on our template - about 75 seconds each, the second-most generous pacing on the test after Arithmetic Reasoning. Use the time to sketch; MC is where rushing costs the most.

Mechanical Comprehension items in our bank are text-first and explain the principle by name, so each answer teaches the rule that decides the next similar item.

Free Mechanical Comprehension practice on this site, graded instantly with explanations. Timed sections, wrong-answer review and the full library are in the app.

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