Recent chats

How can I draw a free-body diagram for a simple object with two forces?

Quick answer

Choose the single object you are analyzing and represent it as a dot or simple shape. Draw one arrow for each of the two external forces stated to act on that object, pointing each arrow in the force’s direction and labeling it clearly. Include only forces on the chosen object—not forces it exerts on other things, motion arrows, or a net-force arrow. If the situation specifies more than two forces, include them too. [S1]

LET’S WORK THROUGH IT

The question, the details, the next step.

Question

I know a free-body diagram is supposed to be simple, but I’m not sure what belongs in it. How do I start when a problem says an object has two forces?

Geez

Start by deciding exactly which object you are analyzing. Draw that object by itself as a dot or a small box, then ask: “Which external forces act on this object in the situation I’m modeling?” A free-body diagram shows forces acting on the chosen object. Draw and label an arrow for each force included in the model. [S1]

For a two-force problem, show the two forces specified for that object. Don’t omit another force if the problem says it is present. Leave out velocity, acceleration, net force, and forces the object exerts on its surroundings; these are not additional forces acting on the isolated object in this diagram. [S1]

Follow-up question

Could you show me what that looks like without assuming a particular real-world situation?

Geez

Suppose, purely as a diagramming example, a problem explicitly states that a chosen object has two external forces: force A to the right and force B upward. Those directions and names are assumptions for this example, not a claim about a particular object or a complete physical situation.

          ↑ B
          |
          • ───→ A
       chosen object

The dot represents the isolated object; label each arrow with the force’s name or symbol. You could use descriptive labels such as “push” if the problem provides that name. Don’t add an arrow just because a force seems likely in some real-world setting: include it if it acts on the chosen object in the stated model. If the problem specifies another force, represent it too. [S1]

Follow-up question

How can I check that I haven’t mixed up which object a force acts on or added something that isn’t a force?

Geez

Use an “on the object” test for every arrow: can you say that this force acts on the object you isolated? If the force is instead exerted by that object on something else, it belongs on a diagram for that other object. For multiple objects, draw a separate diagram for each. [S1]

Then check what each arrow represents. Keep arrows for external forces on the chosen object; don’t add arrows for motion, acceleration, or net force. If the question’s description is unclear about which forces are included, note the ambiguity rather than silently treating your sketch as complete. [S1]

Follow-up question

Can you give me a reusable checklist and a copyable layout for my homework?

Geez

Write the selected object beside the sketch, then draw a dot or box and add only the external force arrows specified for it. A two-arrow layout is appropriate only when the model really contains two forces acting on that object. The directions below are placeholders, not defaults:

Object: [chosen object]

          ↑ [Force 2: name or symbol]
          |
          • ───→ [Force 1: name or symbol]

Match the arrow directions to the problem. Before using the diagram, check that each arrow represents a force on the selected object and that you have not included motion, acceleration, net force, or a force exerted by the object on something else. The diagram organizes the stated model; it does not establish that the description is complete. [S1]

A practical checklist

  • Name the one object being analyzed.

  • List the external forces the problem says act on that object.

  • Draw one arrow per included force, pointing in its stated direction.

  • Label every arrow with the force’s name or symbol.

  • Remove motion, acceleration, net-force, and other-object force arrows.

  • Check whether the problem specifies any additional force before calling the diagram complete.

A few more useful answers

Should I draw a force that the object exerts on another object?

Not on this object’s free-body diagram. Draw forces acting on the selected object; a force it exerts on something else belongs on a diagram for that other object. [S1]

Do the two force arrows have to point in opposite directions?

No. Point each arrow in the direction stated for that force. The phrase “two forces” alone does not determine their directions.

Can I put acceleration or net force on the diagram too?

Keep the free-body diagram to external forces acting on the chosen object. Acceleration and net force are not additional force arrows in that diagram. [S1]

Sources

References used for this guide.

  1. [S1] OpenStax University Physics Volume 1: Drawing Free-Body Diagrams
    openstax.org · Checked

YOUR QUESTION. YOUR DETAILS.

Let’s work through your situation.

Get a tailored answer or help with your next task. Starts at $1, with a quote before you pay.

Ask your own question
← Back to Geez at Work