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Physics

Three classes of lever

Mechanics · Simple machines and torque

3D cutaway of the three classes of lever Open the interactive 3D model →

How can a small child lift a grown-up on a seesaw — and why is your arm built the “wrong” way round?

A lever is a stiff bar that turns around a pivot, called the fulcrum. Pushing far from the pivot lets a small force balance a big weight close to it. Where you put the pivot, the push and the weight decides whether the lever gives you more force or more speed.

A lever is a rigid bar that turns about a fulcrum, and it is in equilibrium when the torques of the effort and the load about that fulcrum cancel: E·d_E = L·d_L. Whether a lever multiplies force (class 2), speed and range of motion (class 3) or either (class 1) depends only on the order of fulcrum, load and effort along the bar.

Key facts

Law of the lever
E·d_E = L·d_L (torques about the fulcrum)
Mechanical advantage
MA = L/E = d_E/d_L
Class 1 (seesaw)
MA above or below 1 depending on fulcrum position
Class 2 (wheelbarrow, model)
785 N load, 262 N effort, MA = 3
Class 3 (forearm, model)
98 N dumbbell needs ≈ 860 N of biceps force, MA ≈ 0.11
Pivot force
from ΣF = 0: E + L, L − E or E − L for classes 1, 2, 3

Parts you can explore (12)

In the 3D model

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