Free-Body Diagram

A free-body diagram (FBD) is a sketch that represents a single object as a dot or box and shows every external force exerted ON that object as a labeled arrow, so you can find the net force and apply Newton's second law to predict how the object's motion changes.

Verified for the 2027 AP Physics 1 examLast updated June 2026

What is Free-Body Diagram?

A free-body diagram strips a physics problem down to the only thing Newton's laws care about, which is the set of forces acting on one chosen object. You draw the object as a dot (or simple box), then draw an arrow for each external force exerted on it. Each arrow starts on the dot, points in the direction the force acts, and gets a label like F_g, F_N, F_T, or F_f. Longer arrows mean bigger forces. That's it. No velocity arrows, no acceleration arrows, no forces the object exerts on other things.

The payoff is that the FBD turns directly into math. Topic 2.5's essential knowledge says a system's velocity only changes when the net external force on it is nonzero, and Newton's second law gives you a_sys = F_net / m_sys. Your FBD is the inventory you use to compute that net force. If the arrows balance, the net force is zero and the object is in equilibrium (at rest or moving at constant velocity). If they don't balance, the object accelerates in the direction of the leftover force.

Why Free-Body Diagram matters in AP Physics 1

Free-body diagrams live in Topic 2.5 (Newton's Third Law and Free-Body Diagrams) in Unit 2, supporting learning objective 2.5.A, which asks you to describe the conditions under which a system's velocity changes. The FBD is the tool that makes that description rigorous. You can't claim a net force exists until you've accounted for every force, and the diagram is how you account for them.

But FBDs don't stay in Unit 2. They show up again in Topic 6.1 when you analyze simple harmonic oscillators, because the whole argument for why a spring-mass system oscillates starts with an FBD showing a restoring force that points back toward the equilibrium position. Honestly, almost every dynamics problem on the exam (inclines, friction, tension, circular motion, oscillation) starts with the same move. Draw the dot, draw the arrows, sum the forces.

How Free-Body Diagram connects across the course

Net Force and Newton's Second Law (Unit 2)

An FBD is basically Newton's second law before the algebra. Once your arrows are drawn, you add the force vectors to get F_net, and a = F_net / m falls right out. A correct diagram makes the equation almost write itself.

Equilibrium and Constant Velocity (Unit 2)

When the arrows on your FBD cancel out, the net force is zero and the velocity doesn't change. This is the classic trap-buster, since an object moving at constant velocity has a balanced FBD that looks identical to one for an object at rest.

Simple Harmonic Motion (Unit 6)

Topic 6.1 covers the period of oscillators, and the FBD is where oscillation comes from. Draw the FBD of a mass on a spring displaced from equilibrium and you'll see a spring force pointing back toward the equilibrium position. That restoring force is the entire reason the thing oscillates.

Coefficient of Friction (Unit 2)

Friction problems are FBD problems in disguise. The friction force depends on the normal force, and the normal force comes off your diagram. On an incline, a sloppy FBD that points the normal force straight up instead of perpendicular to the surface wrecks the whole calculation.

Is Free-Body Diagram on the AP Physics 1 exam?

Free-body diagrams are tested directly and constantly. AP Physics 1 FRQs regularly open with an explicit instruction to draw an FBD, and graders check three things. Every force must be present, no extra or made-up forces (like a phantom "force of motion") can appear, and arrows must point in the correct directions with labels. Relative arrow lengths matter too, so if the object accelerates downward, the downward arrows should look longer than the upward ones.

In multiple choice, you'll see stems like "Which free-body diagram correctly represents the forces on the block?" where the wrong answers include velocity arrows, third-law partner forces, or a misdirected normal force. Even when a question never says "free-body diagram," drawing one is usually step one for any problem asking whether a system's velocity changes (LO 2.5.A) or why an oscillator returns to equilibrium (Topic 6.1).

Free-Body Diagram vs Newton's third-law force pairs

Third-law pairs never appear together on one free-body diagram. The pair forces act on two different objects, and an FBD only shows forces acting ON your one chosen object. So if you're drawing the FBD of a book on a table, you include the normal force the table exerts on the book, but NOT the force the book exerts on the table. That partner force belongs on the table's FBD. Putting both on one diagram is one of the most common point-losers in Unit 2.

Key things to remember about Free-Body Diagram

  • A free-body diagram shows only the external forces acting on one object, drawn as labeled arrows starting from a dot or box.

  • Never put velocity, acceleration, or 'motion' arrows on an FBD, because those aren't forces and graders mark them wrong.

  • Newton's third-law partner forces act on different objects, so the two forces in a pair never appear on the same FBD.

  • If the forces on your FBD balance, the net force is zero and the object either stays at rest or keeps moving at constant velocity.

  • If the forces don't balance, the object accelerates in the direction of the net force, following a = F_net / m from LO 2.5.A.

  • In Unit 6, the FBD of a displaced spring-mass system reveals a restoring force pointing toward equilibrium, which is what makes simple harmonic motion happen.

Frequently asked questions about Free-Body Diagram

What is a free-body diagram in AP Physics 1?

It's a diagram that represents one object as a dot or box and shows every external force acting on it as a labeled arrow. It's the standard first step for applying Newton's second law, and it's covered in Topic 2.5 of Unit 2.

Do you include both Newton's third law forces on a free-body diagram?

No. Third-law pair forces act on two different objects, and an FBD only shows forces acting on the one object you chose. The partner force goes on the other object's diagram.

Should velocity or acceleration arrows go on a free-body diagram?

No, only forces belong on an FBD. Velocity and acceleration aren't forces, and adding them can cost you points on the FRQ. If you want to track acceleration, sketch it separately off to the side.

Does an object moving at constant velocity have a force in the direction of motion on its FBD?

Not necessarily. Constant velocity means zero net force, so the FBD must show balanced forces. There is no special "force of motion" keeping it going, and adding one is a classic Unit 2 mistake.

How do free-body diagrams connect to simple harmonic motion?

In Topic 6.1, the FBD of a mass on a spring displaced from equilibrium shows a spring force pointing back toward the equilibrium position. That restoring force is what drives the oscillation, so the SHM argument starts with the same diagram skill you learned in Unit 2.