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Free-body diagrams

Beginner

Sketch all forces on one body to apply Newton's laws.

Draw the body alone as a dot and draw every force acting on it with arrows, then choose axes and write ΣF = ma for each. Include only forces on that body, not forces it exerts.

Worked example

A block on a slope: weight, normal, friction; resolve along and perpendicular to the slope.

Common mistake

Do not draw the acceleration or "force of motion" as a force.

In more detail

A free-body diagram shows only the forces acting on one object, drawn as arrows from its centre. It is the first step in solving most dynamics problems.

Real-world uses

Open the interactive lesson, with simulation and quiz →

Frequently asked questions

Should I include forces the object exerts on others?

No. Include only forces acting on the object itself.

What forces are commonly missed?

Normal force, friction and tension are often forgotten, especially on inclines and with pulleys.

What should I include in a free-body diagram?

Every force acting on the body, such as weight, normal, tension and friction, and nothing that the body exerts on other objects.

Related topics in Newton's Laws & Forces

Units of force · Newton's third law · Weight and normal force · Net force and equilibrium · Tension · Atwood machine

← All Newton's Laws & Forces topics