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The Law of the Lever — Archimedes' Balance of Weight and Distance
'Give me a place to stand and I will move the Earth,' said Archimedes of the lever. Around 250 BC he proved the exact law behind it: a weight balances another when each weight multiplied by its distance from the pivot is equal. That simple rule — weight times distance on one side equals weight times distance on the other — lets a small effort lift an enormous load, and underlies the crowbar, the balance scale, the oar and the seesaw. This blueprint builds a lever and fulcrum and demonstrates the law by measurement.
Початківець
2
Інструкції
1
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Understand the law
Understand the law
A lever is a rigid bar that turns on a pivot called the fulcrum. Archimedes' law says it balances when the weight on one side times its distance from the fulcrum equals the weight times distance on the other: W1 × d1 = W2 × d2. Each 'weight times distance' is called a moment.
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Build a lever and fulcrum
Build a lever and fulcrum
Rest a straight rigid beam across a fixed fulcrum — a triangular block or a firm edge — so the beam can tip freely both ways. Mark equal distance graduations along the beam from the fulcrum.
Матеріали для цього кроку:
Dowel Rod1 штука
Hardwood Block1 штукаНеобхідні інструменти ({count})
Cotton Kitchen String3
3
Balance equal weights
Balance equal weights
Hang or set equal weights the same distance from the fulcrum on each side. The beam should sit level. This confirms your fulcrum is central and the beam itself is balanced.
Необхідні інструменти ({count})
Ankle Weight Set (Adjustable, DIY)4
4
Balance a heavy weight with a light one
Balance a heavy weight with a light one
Put a heavy weight close to the fulcrum and a lighter weight far out on the other arm. Slide the light weight in or out until the beam balances — the small far weight holds up the big near one.
Необхідні інструменти ({count})
Ankle Weight Set (Adjustable, DIY)5
5
Verify the numbers
Verify the numbers
Measure and multiply. For example, 4 units of weight at 10 cm balances 1 unit at 40 cm, because 4 × 10 = 40 = 1 × 40. The two moments are equal — exactly as Archimedes' law predicts.
Необхідні інструменти ({count})
Cotton Kitchen String6
6
Read off the mechanical advantage
Read off the mechanical advantage
The ratio of the two arm lengths is the force multiplier. A long effort arm and a short load arm let a small push raise a big load: effort = load × (load arm ÷ effort arm). Doubling the effort arm halves the effort needed.
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Why it could 'move the Earth'
Why it could 'move the Earth'
Because the law has no built-in limit, a long enough lever on a firm enough fulcrum could balance any weight at all — the point Archimedes was making. In practice the only limits are the length and stiffness of the bar.
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Spot levers everywhere
Spot levers everywhere
The same rule works a crowbar prising a rock, a seesaw, an oar against its rowlock, a wheelbarrow, and the balance scale of a market. Each trades distance for force by weight × distance.
Матеріали
2- 1 штукаЗаповнювач
- 1 штукаЗаповнювач
Необхідні інструменти
2- Заповнювач
You can swap these in
Can't get one of the materials? Swap it for an equivalent — these work just as well.
- Instead of Dowel Rod, try:
Pine Dowel Rod Set (12 Diameters)
Dowel Rod Assortment (12 Sizes) - Instead of Ankle Weight Set (Adjustable, DIY), try:
Concrete Weight Block (5kg)
Pressing Weight (1-2 kg) - Instead of Hardwood Block, try:
Hardwood Block - Instead of Cotton Kitchen String, try:
Violin String Set (Full Size, Synthetic Core)
Guitar String Set (Acoustic, Phosphor Bronze)
Bow String
Recommended for this build
Products makers often use with builds like this one.
Chalk LineUsed together and in similar builds
Hand SawFrequently used with this build's materials
Red Alder BoardUsed together and in similar builds
AwlFrequently used with this build's materials
Iron NailsFrequently used with this build's materials
Hemp CordFrequently used with this build's materials
Sharp KnifeFrequently used with this build's materials
Sloyd Carving KnifeFrequently used with this build's materialsПов'язані креслення
Ці креслення діляться знаннями — техніки, матеріали або принципи
Related blueprints
Other builds that share materials, tools, or techniques with this one.
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Testing a Gold Crown with Water — Archimedes' Buoyancy and the Eureka Method
The Pendulum — Time a Swing and Weigh Gravity
Dyeing Yellow with Dyer's Chamomile — The Golden Flower of Mediterranean Dye Gardenstextiles
Making Synthetic Alizarin Crimson — The Coal Tar Pigment That Destroyed the Madder Industrypigment-making
The Rapier Loom — Shuttleless Weaving That Ended 200 Years of Shuttle Technologytextiles
CC0 Суспільне надбання
Це креслення випущено під ліцензією CC0. Ви можете вільно копіювати, змінювати, поширювати та використовувати цю роботу для будь-яких цілей без запиту дозволу.
Підтримайте мейкера, купуючи продукти через його креслення, де він отримує Комісію мейкера встановлену вендорами, або створіть нову ітерацію цього креслення та включіть його як зв'язок у власне креслення для розподілу доходу.