How to Draw a Free Body Diagram in 6 Steps
Drawing a free body diagram (FBD) is a skill, and like any skill it follows a repeatable process. Use these six steps on every problem — from a block on a table to a loaded bridge truss — and you will never miss a force.
Step 1 — Isolate the Body
Decide exactly what object you are analyzing, and mentally cut it away from everything touching it. Draw it as a simple shape: a box for a block, a line for a beam, a dot for a particle. Do not draw the ramp, rope, or wall — they will be replaced by forces.
Tip: if two objects move together (e.g., stacked blocks), you may treat them as one body — or isolate each separately when you need internal contact forces.
Step 2 — Add the Weight
Every object with mass has weight. Draw one arrow, labeled W or mg, pointing straight down from the center of gravity. This is usually the only non-contact force in introductory problems.
Step 3 — Replace Every Contact with a Force
Walk around the boundary of your isolated body. Everywhere something was touching it, add the force that contact provides:
- Surface touching the body → normal force N, perpendicular to the surface (plus friction f along the surface, if it's rough).
- Rope, cable, or string → tension T, pulling away from the body along the rope.
- Spring → spring force Fs, along the spring axis (pushing or pulling depending on compression/stretch).
- Support (statics) → reaction forces: a roller gives one perpendicular reaction; a pin gives two components (Rx, Ry); a fixed support gives two components plus a moment (M).
Step 4 — Add Applied Loads
Add any pushes, pulls, distributed loads, or applied moments given in the problem, at the points where they act, with their known magnitudes and angles.
Step 5 — Choose Coordinate Axes
Draw a small x–y axes symbol next to the diagram. For inclined surfaces, tilt the axes so x runs along the incline — this turns weight into components (mg sin θ and mg cos θ) and keeps everything else on-axis, which greatly simplifies the algebra.
Step 6 — Check the Diagram
Before writing equations, verify:
- Every arrow starts on the body and is labeled.
- Count the touches: number of contacts = number of contact forces (plus weight).
- No "motion force" or "centrifugal force" arrows — motion is a result of forces, not a force.
- For equilibrium problems: could the arrows plausibly balance? If every arrow points the same way, something is missing.
Worked Example: Block on a 30° Incline
- Isolate: draw a tilted box.
- Weight mg straight down.
- Contacts: the incline surface → normal N perpendicular to the slope, friction f along the slope (up-slope if the block tends to slide down).
- No other applied loads.
- Axes tilted along the incline.
- Check: 3 arrows, all labeled — done. The equations follow: N = mg cos θ, f = mg sin θ (if static).
FAQ
How many forces should my FBD have?
Weight + one force per contact (two if the contact is rough, i.e., normal + friction). If you have more arrows than touches + 1, you've invented a force.
Which direction do I draw friction?
Opposite the direction of sliding (kinetic) or opposite the tendency to slide (static). If unsure in statics, guess a direction — a negative answer means it points the other way.
Should acceleration appear on the FBD?
No. Acceleration is not a force. If it helps, draw it as a separate labeled arrow beside the diagram, never on the body.