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Resultant Force and Freebody Diagrams

Jun 15, 2025

Overview

This lesson explains the concept of resultant force, how to calculate it for forces in a straight line, and how to represent forces on an object using Freebody diagrams.

Resultant Force Concept

  • A force is a push or pull on an object due to interaction with another object.
  • Forces are vector quantities, meaning they have both magnitude (size) and direction.
  • The resultant force is a single force that has the same effect as all original forces acting together.
  • To find the resultant force, subtract the smaller force from the larger force, considering direction.

Calculating Resultant Forces in a Straight Line

  • Example: If a man pushes a box with 20 N right and friction opposes with 10 N left, the resultant is 10 N right.
  • For multiple forces on a car: Add forces acting in the same direction and then subtract from forces in the opposite direction.
    • Driving force 10,000 N left, friction 4,000 N right, air resistance 5,000 N right.
    • Total rightward force: 4,000 N + 5,000 N = 9,000 N.
    • Resultant force: 10,000 N (left) - 9,000 N (right) = 1,000 N left.

Balanced Forces and Zero Resultant Force

  • When upward and downward (or left and right) forces are equal, the resultant force is zero.
  • Example: Skydiver with 800 N weight down and 800 N air resistance up experiences balanced forces (resultant force = 0).

Freebody Diagrams

  • Freebody diagrams represent all forces acting on an object as arrows from a point.
  • Arrow length shows force magnitude; arrow direction shows force direction.
  • Example: Airplane at constant altitude and velocity
    • Weight acts downward; lift acts upward with equal magnitude.
    • Thrust (forward force) and drag (air resistance, backward force) are equal at constant velocity.
    • Balanced arrows indicate zero resultant force in both vertical and horizontal directions.

Key Terms & Definitions

  • Force — A push or pull acting on an object due to interaction with another object.
  • Vector quantity — A quantity that has both size (magnitude) and direction.
  • Resultant force — The single force that has the same effect as all other forces acting together.
  • Freebody diagram — A diagram showing all the forces acting on an object represented as arrows from a point.
  • Thrust — The forward force provided by an airplane's engines.
  • Lift — The upward force acting against weight for an airplane.
  • Drag (air resistance) — The force acting opposite to the direction of motion through air.

Action Items / Next Steps

  • Practice drawing Freebody diagrams for different objects.
  • Solve problems calculating resultant forces from various scenarios.
  • Review workbook questions on resultant forces if available.