How do you draw a free-body diagram?
To draw a free-body diagram (FBD), you isolate the object you are studying by representing it as a simple dot or box, and then draw arrows pointing away from that dot for every external force acting on it. Think of it like drawing a map for a tug-of-war. Instead of drawing the people, the rope, and the muddy ground, you just draw a dot for the center of the rope and arrows for the pulling forces. This strips away all the visual distractions so you can cleanly apply Newton's laws of motion.
What goes into a free-body diagram?
A free-body diagram strips away the physical environment. The object itself becomes a single particle (usually a dot). The forces acting on that object become vectors (arrows). The direction of each arrow shows which way the force is pushing or pulling, and the length of the arrow roughly represents the strength (magnitude) of the force. Finally, every arrow must have a clear label, like for gravity or for the normal force.
Step-by-step drawing guide
First, define the object you are analyzing and draw a dot to represent it. Second, identify all the external interactions. Does gravity pull it down? Is a surface pushing up on it? Is a string pulling it? Third, draw an arrow for each of these forces, starting from the dot and pointing outward. Finally, define a coordinate system (an and axis) next to your diagram so you can break angled forces into components later.
Where students often slip up
The most common mistake is drawing forces that the object exerts on other things. A free-body diagram must only include forces acting on the object. Another frequent error is including a "net force" arrow. The net force is the mathematical result of adding all your arrows together; it is not a physical force itself, so it never belongs in the diagram.
Worked through
A 5 kg block sits at rest on a rough ramp angled at above the horizontal. Describe the free-body diagram and set up the equations of motion.
Step 1: Draw a dot for the block. Step 2: Draw the force of gravity () pointing straight down toward the bottom of the page. Step 3: Draw the normal force () pointing perpendicular to the ramp's surface. Step 4: Draw static friction () pointing up the ramp, parallel to the surface, to prevent the block from sliding down. Step 5: Choose a tilted coordinate system where the -axis is parallel to the ramp and the -axis is perpendicular. Breaking gravity into components gives and .
Questions students ask
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Where this comes from: OpenStax University Physics Volume 1, Chapter 5 · Khan Academy: Forces and Newton's laws of motion
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