Nano PHYSICS . MECHANICS . DYNAMICS . FREE-BODY DIAGRAMS

From FBD to Equations

Convert a free-body diagram into ΣF_x = ma_x and ΣF_y = ma_y, or equilibrium equations, with correct components, signs, and units.

Physics · Mechanics · Dynamics · Free-Body Diagrams · From FBD to Equations
Access for this nano-lesson
Unsigned visitors can show & copy prompts for Steps 1-3. Signed-in free accounts can also Run with AI for Steps 1-2. Paid accounts unlock everything (Steps 1-6 + Help prompts + AI).
Steps 1-3 Free Steps 4-6 Paid
STEP 1
Orient: translate FBDs into equations
Free
Establish the translation from force arrows to signed component equations.
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Goal: write signed force equations directly from a complete FBD.
STEP 2
Conceptual grounding: build the diagramming model
Free
Build a reliable workflow from FBD to axes to components to Newton's-law or equilibrium equations.
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Goal: keep x and y components separate and match each equation to the correct acceleration component.
STEP 3
Real-world connection: model forces in scenes
Free
Apply the method to level surfaces, angled pulls, ramps, hanging objects, and equilibrium cases.
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Goal: use units, signs, equilibrium conditions, and limiting cases to check a setup.
STEP 4
Check your understanding: diagnostic mini-quiz
Paid
Attempt each question before revealing the diagram-based reasoning.
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Goal: identify and correct system, source, or arrow-direction errors before they become equation errors.
STEP 5
Practice: draw increasingly rich free-body diagrams
Paid
Apply the method to force scenes that grow in complexity.
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Goal: produce clear, physically justified free-body diagrams.