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Force and Free Body Diagrams

Jun 14, 2025

Overview

This lecture introduces the concepts of force diagrams and free body diagrams, illustrating how forces act on objects like boxes on a table or being pushed across a surface.

Forces Acting on an Object

  • Gravity (force of the Earth) pulls objects downward; represented as ( F_g ) or weight (( W )).
  • The surface (like a table) pushes up with a normal force to support the object.
  • If only gravity acts, the object falls; the normal force prevents this.

Force Diagrams vs. Free Body Diagrams

  • Force Diagram: Draw the object (e.g., a box), then show forces as arrows from the center and label them.
  • Free Body Diagram (FBD): Draw a simple dot to represent the object; all force arrows point away from this point and are labeled.
  • Only choose one label for gravity (( F_g ) or ( W )); consistency is key.
  • Include a key or legend to explain symbols in both diagram types.

Additional Forces When Pushing an Object

  • An applied force (( F_a )) pushes the object.
  • Friction (( F_f )), caused by microscopic surface imperfections, resists movement.
  • Gravity and normal force still act vertically on the object.

Drawing Diagram Guidelines

  • In FBDs, arrows must always point away from the object (dot).
  • Force diagrams show the object, but not the supporting surface.
  • Use consistent labeling, and clarify arrows and forces with a legend.

Key Terms & Definitions

  • Gravity (( F_g )) — The attractive force pulling objects toward the Earth.
  • Weight (( W )) — The gravitational force acting on an object.
  • Normal Force (( F_N )) — The perpendicular force a surface exerts to support an object.
  • Friction (( F_f )) — The resisting force due to surface imperfections.
  • Force Diagram — A diagram showing the object with arrows for all acting forces.
  • Free Body Diagram (FBD) — A simplified diagram using a dot and arrows for all forces acting on the object.

Action Items / Next Steps

  • Practice drawing both force diagrams and free body diagrams for simple objects.
  • Review how to label and describe forces acting on stationary and moving objects.