Fulcrum Calculator

Calculate lever arm distances, forces, and fulcrum position for first, second, and third class levers using the principle of moments.

EFFORT FORCE REQUIRED
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Mechanical Advantage
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Load Moment
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Effort Moment
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Velocity Ratio
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Understanding Levers and Fulcrums

A lever is one of the six simple machines, consisting of a rigid beam that pivots around a fixed point called the fulcrum. By applying a small effort force at a large distance from the fulcrum, you can move a heavy load at a short distance. The principle of moments states that for equilibrium, the clockwise moment equals the counterclockwise moment.

Archimedes famously said, "Give me a lever long enough and a fulcrum on which to place it, and I shall move the world." This captures the essence of mechanical advantage — the ratio of output force to input force, which equals the ratio of effort arm to load arm distance.

Lever Formula

Fload × dload = Feffort × deffort
MA = deffort / dload

Lever Classes

ClassArrangementExampleMA
FirstFulcrum between effort and loadSeesaw, crowbarCan be > or < 1
SecondLoad between fulcrum and effortWheelbarrow, nutcrackerAlways > 1
ThirdEffort between fulcrum and loadTweezers, fishing rodAlways < 1

Frequently Asked Questions

What is mechanical advantage?

Mechanical advantage (MA) is the ratio of the output force to the input force. For an ideal lever, MA equals the ratio of the effort arm length to the load arm length. An MA greater than 1 means the lever multiplies force, while MA less than 1 means it multiplies speed or distance instead.

Why do third class levers have MA less than 1?

In third class levers, the effort arm is shorter than the load arm, so more force is required than the load. However, the load moves a greater distance and faster than the effort. This tradeoff is useful in situations requiring speed and range of motion, like the human forearm or fishing rods.