Pulleys

If you are studying for a mechanical aptitude test, pulley questions are almost certain to show up — and the good news is that nearly all of them come down to a single counting rule. This guide teaches that rule, walks you through worked pulley questions with diagrams and answers, covers the belt-driven pulley questions most study pages ignore, and lets you drill a free interactive set before you sit the real thing. Whether you are facing the Bennett™, Ramsay™, Wiesen™, CAST™, or ASVAB, the pulley questions all test the same handful of ideas. Learn to count the rope segments that hold the load and you can solve most of them in under a minute.

THE ONE RULE

Effort needed = the load ÷ the number of rope segments that pull directly up on the load. Ignore any pulley that only redirects the rope. Master this and most pulley questions become arithmetic.

Pulley Questions on Mechanical Aptitude Tests: What to Expect

Pulleys are one of the six classic simple machines, and mechanical reasoning tests love them because a single clear diagram can reveal whether you truly understand force, distance, and mechanical advantage. You do not need to memorize formulas or do heavy math — you need to read the rope and count.

Why pulleys appear on almost every mechanical test

A pulley diagram is a fast, fair way to test whether you grasp the trade-off at the heart of every machine: you can reduce the force needed to move a load, but only by moving through a greater distance. Because pulleys show this so cleanly, they are a staple of the Bennett, Ramsay, Wiesen, CAST, and ASVAB mechanical sections. Expect a few questions per test — usually mixed in with gears, levers, and hydraulics.

The four things pulley questions actually ask you

Almost every pulley question on a mechanical aptitude test is one of these four types:

  1. Force to lift — how much pull is needed to raise a given load?
  2. Direction of pull — which way does the rope (or driven pulley) move?
  3. Rope you must pull — how far must you haul the rope to raise the load a given distance?
  4. Belt rotation and speed — which way, and how fast, does a belt-driven pulley turn?
PRO TIP

Before you calculate anything, ask: “Is the pulley fixed or moving with the load?” A fixed pulley never reduces force — it only changes direction. Spotting that in one glance saves you from the most common trap on the test.

Which tests use pulley questions (Bennett, Ramsay, Wiesen, CAST, ASVAB)

Pulley questions turn up across the whole family of mechanical assessments. The exact count varies by test and version, but here is roughly how they appear:

TestFormatWhere pulleys appear
Bennett BMCT-II55 Q · 25 minMechanical comprehension items
Ramsay MAT36 Q · 20 minPulleys & drives category
Wiesen (WTMA)60 Q · 30 minEveryday-object mechanical items
EEI CAST44 mech. Q · 20 minMechanical concepts section
ASVAB Mech. Comp.~15–25 QSimple-machine questions

Question counts and timing vary by test version and employer; treat these as typical rather than exact. With most mechanical sections giving you roughly 30–60 seconds per question, the goal is to recognise the pulley type instantly and count — not to grind through algebra.

The One Rule That Solves Most Pulley Questions

If you learn only one thing from this page, learn this: count the rope segments that support the load. That single count tells you the mechanical advantage, the effort required, and how much rope you must pull. Everything else is a variation on it.

Mechanical advantage = Load ÷ Effort

Mechanical advantage (MA) is how many times a machine multiplies your effort. For a pulley system it is simply:

Mechanical Advantage = Load ÷ Effort = number of rope segments supporting the load

So if four rope segments hold the load, MA = 4, and the effort you need is the load divided by 4. A 200 lb load on a 4-segment system takes about 50 lb of pull. You do not measure anything — you count the ropes going up from the moving block.

Count the rope segments supporting the load

This is the whole skill. Look at the pulley that moves with the load (the movable block) and count every rope segment that runs upward and helps hold it — including the segment tied off (the “dead end”) if it attaches to the movable block. Do not count segments that only run over fixed pulleys to redirect your pull.

PRO TIP

To find the effort, count the rope segments pulling up on the load and divide the weight by that number. Ignore any pulley that only turns a corner — a fixed pulley adds direction, never force.

The force-vs-distance trade-off (less force, more rope)

A pulley never gives you something for nothing. Every bit of force you save is paid for in extra rope. If a system quarters the effort (MA = 4), you must pull four times as much rope as the load rises. Test writers love this: they will cut your force in half with a movable pulley, then ask how far you must pull the rope to raise the load one foot — the answer is two feet, not one.

PRO TIP

Less force always costs more rope. If a rig quarters the effort, you must pull four times as much rope. Rope pulled = the load’s rise × the mechanical advantage — every time.

Fixed vs. Movable Pulleys (and Why the Difference Is a Trap)

The single most-missed pulley question on any mechanical aptitude test involves a fixed pulley. Understand the difference between fixed and movable and you sidestep the trap that catches most test-takers.

Single fixed pulley: MA = 1, changes direction only

A fixed pulley is bolted to a beam or wall — it does not move with the load. The rope carries the same tension on both sides, so lifting a 40 lb load still takes about 40 lb of pull. Its mechanical advantage is 1. What it does give you is convenience: you can pull down (using your body weight) instead of hauling straight up, or route the rope to a comfortable spot. Useful, but it never reduces the force.

Single movable pulley: MA = 2, halves the effort

A movable pulley is attached to the load and travels up with it. Now two rope segments share the weight — the segment tied to the beam and the segment in your hands — so each holds half. An 80 lb load takes only about 40 lb of pull. The trade-off, as always: you must pull two feet of rope for every foot the load rises.

The classic trick question

A test will show a single fixed pulley and ask how much force is needed to lift the load. The tempting-but-wrong answer is “half.” Because the pulley only redirects the rope, the correct answer is the full weight. Whenever you see one fixed pulley, expect the answer to be the load itself — no force reduction at all.

Don’t forget the pulley’s own weight

On real tests you can almost always assume friction and pulley weight are negligible unless the question explicitly states otherwise. In the real world, a heavy movable block and its bearing friction mean the actual pull is a little more than the ideal figure. If a question mentions friction, the raising force will be “somewhat more than” the ideal answer — a useful tie-breaker between close options.

WORKED EXAMPLE — FIXED PULLEY (the classic trap)
Single fixed pulley on an overhead beam lifting a 40-lb paint bucket

A painter hoists a 40-lb paint bucket up to a scaffold using a single fixed pulley bolted to an overhead beam, pulling straight down on the rope. Ignoring friction, how much pull does the rope require compared with lifting the bucket straight up by hand?

A. Less than 40 lb of pull   B. More than 40 lb of pull   C. About 40 lb of pull

Show the answer & how to get it

Answer: C. A single fixed pulley only changes the direction of the pull; the rope carries the same tension on both sides, so raising the 40-lb bucket still takes about 40 lb. The benefit is convenience: the painter can pull downward, using body weight, instead of hauling the bucket up hand over hand. No fixed pulley by itself multiplies force.

WORKED EXAMPLE — MOVABLE PULLEY
An 80-lb toolbox hanging from a single movable pulley

An 80-lb toolbox hangs from a single movable pulley. One end of the rope is tied to an overhead beam, and a worker pulls straight up on the free end. Ignoring friction and the weight of the pulley, about how much pull is needed to raise the toolbox?

A. 40 lb   B. 80 lb   C. 160 lb

Show the answer & how to get it

Answer: A. With a single movable pulley, the load hangs from two rope segments — one tied to the beam and one held by the worker. Each segment supports half of the 80-lb toolbox, so the worker pulls with about 40 lb. The trade-off is distance: the worker must pull 2 feet of rope for every foot the toolbox rises.

Compound & Block-and-Tackle Pulley Systems

When one pulley is not enough, systems combine fixed and movable pulleys to stack the mechanical advantage. This is where the counting rule really earns its keep — the diagram looks intimidating, but the method is exactly the same.

How mechanical advantage stacks

A block and tackle pairs a fixed block with a movable block, threading one continuous rope back and forth between them. Each pass of the rope across the movable block adds another supporting segment. Two segments give MA 2, three give MA 3, four give MA 4 — and each step cuts the effort by that factor while multiplying the rope you must pull.

Counting supporting ropes in a multi-pulley rig

You may have seen the shortcut “MA = 2 × the number of movable pulleys.” That only holds for certain simple rigs. The reliable method — the one that never fails — is to count the rope segments actually supporting the movable block. If the rope’s dead end is tied to the movable block, count it too. Always trust the segment count over any shortcut.

Worked example: lifting a heavy load with 4:1 advantage

The two examples below show the counting rule in action — first with three supporting segments, then with four. Notice that in both, the answer is just the load divided by the segment count.

WORKED EXAMPLE — BLOCK AND TACKLE (find the MA)
A block and tackle lifting a crate with the rope dead-end tied to the movable block

The figure shows a block and tackle lifting a crate. The rope’s dead end is tied to the movable block, and the worker pulls downward on the free end after it leaves the upper fixed block. Counting the rope segments that support the movable block, what is the ideal mechanical advantage of this tackle?

A. 2 to 1   B. 3 to 1   C. 4 to 1

Show the answer & how to get it

Answer: B. Three rope segments pull up on the movable block: the dead-end segment tied to it plus the two segments wrapping its sheave. The mechanical advantage of a tackle equals the number of rope segments supporting the movable block, so this rig is 3 to 1. The segment the worker pulls downward hangs from the fixed block and does not support the load.

WORKED EXAMPLE — DOUBLE TACKLE (4 segments)
A double block and tackle with four rope segments supporting a 200-lb compressor

In the double tackle shown, the upper fixed block and the lower movable block each have two sheaves, and four rope segments support the movable block. Ignoring friction, how much pull is needed to lift the 200-lb compressor?

A. 25 lb   B. 50 lb   C. 100 lb   D. 200 lb

Show the answer & how to get it

Answer: B. Four rope segments share the load, so each carries one quarter of the 200-lb compressor. The worker’s pull equals the tension in one segment: 200 divided by 4, or 50 lb. In exchange, the worker must pull 4 feet of rope for every foot the compressor rises.

Belt-Driven Pulley Questions: Direction and Speed

Not every pulley question is about lifting. Many mechanical tests show two or more pulleys joined by a belt and ask which way, or how fast, the driven pulley turns. These belt-driven questions are widely under-taught, yet they follow just two simple rules.

Which way does the driven pulley turn? (open vs crossed belts)

The belt’s routing decides the direction:

  • Open (uncrossed) belt — touches the same side of both pulleys, so both pulleys turn the same direction.
  • Crossed belt — the belt figure-eights between the pulleys, contacting opposite sides, so the driven pulley turns the opposite direction. Crossing a belt is a simple way to reverse rotation without gears.

Speed and RPM: the small-pulley-spins-faster rule

The belt moves at one speed, so a smaller pulley must spin faster to keep up. Speed is inversely proportional to diameter: the driven pulley’s RPM equals the driver’s RPM × (driver diameter ÷ driven diameter). A pulley twice the diameter of its driver turns at half the speed; half the diameter turns at double the speed. (Note the difference from lifting rigs — with belts, size sets speed, not force.)

Worked example: motor pulley RPM ratio

WORKED EXAMPLE — BELT DIRECTION
Two pulleys connected by an open belt, the left driver turning clockwise

Two pulleys are connected by an open (uncrossed) belt. The left pulley is the driver and turns clockwise. Which way does the right pulley turn?

A. Clockwise   B. Counterclockwise   C. It depends on the pulley sizes

Show the answer & how to get it

Answer: A. An open belt touches the same side of both pulleys, so it carries the driver’s motion straight across and both pulleys rotate in the same direction. Pulley size changes how fast the driven pulley spins, never which way it spins.

WORKED EXAMPLE — PULLEY SPEED / RPM
A 4-inch motor pulley at 1,200 RPM driving an 8-inch pulley through an open belt

A motor pulley 4 inches in diameter turns at 1,200 RPM and drives an 8-inch pulley through an open belt. How fast does the 8-inch pulley turn?

A. 600 RPM   B. 1,200 RPM   C. 2,400 RPM

Show the answer & how to get it

Answer: A. Belt speed is the same at both pulley rims, so the driven speed equals the driver speed times the ratio of the diameters: 1,200 RPM × (4 in ÷ 8 in) = 600 RPM. A pulley twice the diameter of its driver turns at half the speed.

Fixed vs. Movable vs. Compound: Quick Comparison

This table puts the four common lifting systems side by side. Every figure comes straight from the counting rule — mechanical advantage equals the number of supporting rope segments, effort is the 100 lb load divided by the MA, and the rope you pull equals the 1-foot rise times the MA.

SystemMechanical AdvantageEffort to lift 100 lbRope pulled per 1 ft lift
Single fixed pulley1100 lb1 ft
Single movable pulley250 lb2 ft
2-pulley compound (fixed + movable)250 lb2 ft
Block and tackle (4 segments)425 lb4 ft

Read across any row and the trade-off is obvious: the block and tackle cuts the effort to a quarter, but you pay by pulling four times as much rope. Force down, distance up — always by the same factor.

Worked Pulley Practice Questions (With Answers)

Here are six pulley questions and answers spanning the full range you will meet — from the single fixed pulley through the block and tackle to belt direction and RPM. Each is a simulated, test-style question with a diagram and a full worked solution. Cover the answer, work it out with the counting rule, then reveal.

These are original, simulated practice questions written to match the style and difficulty of real mechanical aptitude tests — they are not actual test content.

QUESTION 1 — SINGLE FIXED PULLEY
A single fixed pulley on a barn beam raising a hay bale

A rope runs from a farmhand’s hands up over a single fixed pulley mounted on a barn beam and down to a hay bale. What is the main thing this pulley provides when the farmhand pulls the rope to raise the bale?

A. It cuts the required pull force in half   B. It changes the direction of the pull so the bale can be raised while the farmhand stays on the ground   C. It makes the bale rise twice as fast as the rope is pulled

Show answer & explanation

Answer: B. A fixed pulley redirects the rope: the farmhand can pull downward and away while standing safely on the ground, and the bale rises into the loft. Tension is the same on both sides of a single fixed pulley, so the force is not reduced, and the bale rises exactly as fast as rope passes through the farmhand’s hands.

QUESTION 2 — SINGLE MOVABLE PULLEY (rope distance)
A mortar bucket on a single movable pulley anchored to a scaffold beam

A single movable pulley is attached to a bucket of mortar, and one end of the rope is anchored to a scaffold beam overhead. To raise the bucket 3 feet, about how much rope must the mason pull through his hands?

A. 1.5 ft   B. 3 ft   C. 6 ft

Show answer & explanation

Answer: C. A single movable pulley gives a 2-to-1 mechanical advantage, and the price of the easier lift is extra rope. Both rope segments supporting the bucket must shorten by 3 feet, so 6 feet of rope passes through the mason’s hands. Whenever a pulley system cuts the force, it multiplies the pull distance by the same factor.

QUESTION 3 — TWO-PULLEY COMPOUND SYSTEM
A 120-lb crate on a movable block with a fixed block on the ceiling

A 120-lb crate hangs from a single movable block. The rope is tied off to the ceiling, runs down around the movable block’s sheave, back up over a fixed block on the ceiling, and down to the worker. Ignoring friction, how much pull must the worker apply to raise the crate?

A. 40 lb   B. 60 lb   C. 120 lb

Show answer & explanation

Answer: B. Two rope segments run up from the movable block — one to the ceiling anchor and one to the fixed block — so each carries half of the 120-lb crate, and the worker pulls with about 60 lb. The segment running from the fixed block down to the worker does not support the crate; it only redirects the effort so the worker can pull downward.

QUESTION 4 — BLOCK AND TACKLE (rope tension)
A 105-lb motor on a tackle with three rope segments supporting the movable block

A 105-lb motor hangs from the movable block of a rope tackle in which three rope segments support the block. Ignoring friction and the weight of the blocks, what is the tension in each one of the three supporting segments?

A. 35 lb   B. 70 lb   C. 105 lb

Show answer & explanation

Answer: A. In an ideal tackle the rope is one continuous piece, so the tension is the same everywhere along it. The three supporting segments must together carry the 105-lb motor, so each carries 105 divided by 3, or 35 lb. That same 35 lb is exactly the pull the worker applies to the free end.

QUESTION 5 — BELT DIRECTION (crossed belt)
Two pulleys connected by a crossed belt, the left driver turning clockwise

Two pulleys are connected by a crossed belt. The left pulley is the driver and turns clockwise. Which way does the right pulley turn?

A. Clockwise   B. Counterclockwise   C. It does not turn

Show answer & explanation

Answer: B. A crossed belt contacts opposite sides of the two pulleys, which reverses the motion between them. So when the driver turns clockwise, the driven pulley turns counterclockwise. Crossing the belt is a simple way to reverse rotation without adding gears.

QUESTION 6 — TWO-STAGE BELT SPEED
A two-stage belt train from a 2-inch motor pulley through a countershaft to a grinder

A motor runs at 1,800 RPM. A 2-inch pulley on the motor drives a 6-inch pulley on a countershaft with one belt. A 4-inch pulley on that same countershaft drives an 8-inch pulley on a grinder with a second belt. How fast does the grinder pulley turn?

A. 300 RPM   B. 450 RPM   C. 600 RPM   D. 900 RPM

Show answer & explanation

Answer: A. Work through the train one stage at a time. The countershaft turns at 1,800 × (2 ÷ 6) = 600 RPM, and both countershaft pulleys turn at that same speed because they share one shaft. The grinder then turns at 600 × (4 ÷ 8) = 300 RPM. Each stage reduces speed by its own diameter ratio, and the reductions multiply.

Practice Pulley Questions Now (Free Interactive Drill)

Reading is one thing; solving under the clock is another. The drill below pulls pulley questions straight from our practice bank — both lifting and belt-driven — with an instant explanation after every question. No sign-up, no email. Work through it and see how quickly the counting rule becomes automatic.

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Common Pulley Mistakes to Avoid

Three traps account for the vast majority of missed pulley questions. Know them in advance and you will not fall for them on test day.

TOP 3 PULLEY TRAPS
  • Counting a fixed pulley toward mechanical advantage. A fixed pulley only changes direction — it never reduces force. Count only the segments that support the movable block.
  • Forgetting the force-vs-distance trade-off. Cutting the effort in half doubles the rope you must pull. Rope pulled = rise × mechanical advantage, always.
  • Reversing belt rotation direction. An open belt keeps both pulleys turning the same way; a crossed belt reverses the driven pulley. Trace the belt before you answer.

How to Prepare for Pulley Questions

Pulley questions reward pattern recognition more than calculation. A short, focused prep plan gets you there fast.

1
Learn the counting rule cold
Effort = load ÷ supporting rope segments. Ignore fixed pulleys. Make it reflex.
2
Drill under time pressure
With roughly 30–60 seconds per question, practise reading the diagram and answering fast.
3
Cover both variants
Practise lifting rigs and belt-driven questions — many prep sets skip belts entirely.
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Pulley Questions FAQ

How do you calculate the force needed to lift a load with a pulley?

Divide the load’s weight by the number of rope segments that pull directly up on the movable block. If four segments support a 200 lb load, you need about 200 ÷ 4 = 50 lb of effort. Segments that only run over fixed pulleys to redirect your pull do not count toward the reduction.

Does a single fixed pulley reduce the effort needed to lift a load?

No. A single fixed pulley has a mechanical advantage of 1 — it only changes the direction of your pull. Lifting a 40 lb load still takes about 40 lb of force. The benefit is convenience, such as pulling down using your body weight, not any reduction in force. This is the most common pulley trap on tests.

How do you find the mechanical advantage of a pulley system?

Count the rope segments that support the movable block, including the rope’s dead end if it is tied to that block. That count is the ideal mechanical advantage. Two segments give MA 2, four give MA 4. This counting method is more reliable than shortcuts based on the number of pulleys.

What is the difference between a fixed and a movable pulley on a mechanical aptitude test?

A fixed pulley is anchored and only changes direction, giving MA 1 and no force reduction. A movable pulley travels with the load, so two rope segments share the weight, giving MA 2 and halving the effort. Tests often show one fixed pulley to see if you wrongly assume it cuts the force.

Which way does a driven pulley turn with a crossed belt?

Opposite to the driver. A crossed belt contacts opposite sides of the two pulleys, reversing the motion, so if the driver turns clockwise the driven pulley turns counterclockwise. An open (uncrossed) belt keeps both pulleys turning the same direction. Trace the belt’s path before answering.

How many pulley questions are on a mechanical aptitude test?

It varies by test and version. Pulleys are usually a handful of items mixed among gears, levers, and other simple machines rather than a whole section. On tests like the Bennett, Ramsay, Wiesen, and CAST you can expect a few pulley questions, so it is worth being fluent with the counting rule.

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