Dynamics · Physics

Free-Body Diagrams

The universal translation: physical situation → forces → equations → motion.

This topic includes

Subtopics to master

Learn to isolate an object, list forces correctly, choose axes, and write ΣF equations cleanly.

Why
Purpose of Free-Body Diagrams
FBDs separate the object from its environment so you can model interactions clearly.
  • What an FBD shows
  • What it does not show
  • When to draw one
Step 1
Isolating the Object of Interest
Pick the “system” you’re analyzing and ignore internal details.
  • Choose the system boundary
  • One object vs multiple objects
  • System vs surroundings
Step 2
Identifying All Forces Acting
List all external forces: gravity, normal, tension, friction, drag, applied forces, etc.
  • Contact vs non-contact
  • Forces come from interactions
  • Common “missing force” errors
Step 3
Choosing Coordinate Axes
Choose axes that simplify component calculations (often along motion or along a surface).
  • Smart axis choices
  • Incline-aligned axes
  • Sign conventions
Translate
From FBD to Equations
Convert the diagram into ΣFx = m ax and ΣFy = m ay (or equilibrium).
  • Component breakdown
  • Equilibrium case ΣF=0
  • Check units and signs
Practice
Practice & Exercises
Build fluency: draw FBDs fast and write correct ΣF equations.
  • FBD identification drills
  • “List all forces” mini sets
  • Axis-choice practice
  • Convert to equations
  • Mixed multi-step problems