Skip to content

Free Body Diagram Builder

Build free body diagrams (FBDs) to visualize all forces acting on an object as vectors from its center of mass. Practice identifying forces including weight (mg downward), normal force (perpendicular to surface), friction (parallel to surface, opposing motion), tension (along rope/string), and applied forces. Master using FBDs to apply Newton's second law ΣF = ma by resolving forces into components and solving for unknowns in equilibrium and accelerating systems.

WHAT IS A FREE BODY DIAGRAM?

A Free Body Diagram (FBD) is a visual representation used to analyze the forces acting on an object. In an FBD, the object is represented as a single dot (or "point particle"), and all the external forces are drawn as vectors pointing **away** from that dot. This tool is essential for applying Newton's Second Law to solve mechanics problems.

TYPES OF FORCES TO INCLUDE

Common forces in AP Physics 1 include: 1. **Weight ( or )** always pointing down. 2. **Normal Force ()** perpendicular to the surface. 3. **Tension ()** along a string or rope. 4. **Friction ()** opposing the motion. 5. **Applied Force ()** from an external push or pull.

HOW TO USE THIS VISUALIZATION

1. **Choose a Scenario**: Select from situations like a block on an incline or a hanging mass. 2. **Enable Forces**: Turn different forces on and off to see how they contribute to the net force. 3. **Adjust Parameters**: Change the angle of the incline or the coefficient of friction and watch the FBD vectors scale accordingly.

CORE FORMULAS

Newton's Second Law in the x-direction
Newton's Second Law in the y-direction

AP EXAM CONNECTION

Unit: Unit 2: Force and Translational Dynamics (Topic 2.1)
Learning Objective: 2.1.1

COMMON MISCONCEPTIONS

  • Drawing the force of motion (there is no such force!).
  • Forgetting that the normal force is always perpendicular to the surface.
  • Incorrectly drawing gravity along the incline instead of straight down.

KEY TAKEAWAYS

  • FBDs only show external forces on a single object.
  • Forces are drawn as vectors from the center of mass.
  • Correct FBDs are the key to setting up equations.
  • Components are often used to solve vectors in two dimensions.

PRACTICE QUESTIONS

Q1 (CONCEPTUAL): Should the velocity vector be included on a Free Body Diagram?

Show Answer & Explanation

Answer: No.

Explanation: FBDs only show force vectors. Velocity and acceleration vectors are not forces and should never be drawn on an FBD.

Q2 (QUANTITATIVE): A 5 kg block rests on a table. What is the magnitude of the normal force?

Show Answer & Explanation

Answer: 49 N

Explanation: Since the block is in equilibrium in the vertical direction, .

DEEP DIVE: RELATED CONCEPTS