AP Physics 1: Forces and Free Body Diagrams

Introduction to Forces and Free Body Diagrams

  • Topic: AP Physics 1, Topic 2.2

  • Instructor: Nefemi Kalayemi, Boston, Massachusetts

  • Objective: Discuss forces exerted on an object using free body diagrams.

Warm-Up Exercises

  • Scenarios Presented:

    • A rolling ball comes to a stop.

    • A person pushes off the ground to get moving on roller skates.

    • An apple falls from a tree.

  • Common Element: All scenarios involve interactions that can be described by forces.

Understanding Forces

  • Definition of a Force:

    • A force is a quantity that describes the interactions between objects or systems.

  • Key Points About Forces:

    • An object cannot exert a force on itself, indicating that forces must come from external sources.

    • When discussing systems, one can consider multiple objects together; however, only external interactions impact changes in the system.

Types of Forces

  • Contact Forces:

    • Require direct contact between interacting objects.

  • Field Forces:

    • Can be exerted at a distance; relevant field force in this context is gravitational force, which is the interaction between an object and the gravitational field it is located in.

Example of Forces in Action

  • Case Study: A rolling ball

    • Interacting with the floor (contact force) and the Earth (gravitational force).

    • Air interaction is generally ignored in AP Physics 1.

  • Representation:

    • Two arrows used to represent the interaction:

    • One arrow from the ball to the Earth (force exerted by the ball on the Earth).

    • One arrow from the Earth to the ball (force exerted by the Earth on the ball).

    • Key Concept: All interactions are bi-directional; both objects exert a force on each other.

Another Example: Lifting an Object

  • Scenario: A person lifts an object above their head.

  • Identified Interactions:

    • Person and the object (contact).

    • Person and the ground (contact).

    • Object and Earth (field interaction).

  • Representation of Interactions:

    • Draw arrows representing:

    • Force of the object on the person (downward).

    • Gravitational force on the person from the Earth (downward).

    • Normal force from the floor on the person (upward).

    • Note: No interaction between the object and the floor as they are not in contact.

Introduction to Free Body Diagrams

  • Purpose: Focus on one object or system at a time to represent all interactions with its surroundings.

  • Creating a Free Body Diagram:

    1. Define the system: Choose the boundaries and identify the object or set of objects.

    2. Identify interactions: Determine all surrounding forces acting on that object or system.

    3. Field interactions: Include any relevant field forces (e.g., gravity).

    4. Representation: Use a dot to denote the center of mass and arrows to depict interactions, pointed away from the object in their respective directions.

Example Free Body Diagram Construction

  • Main Example: Ball rolling across the floor.

    • Isolate the ball and determine its interactions:

    • Force exerted by the Earth (downward).

    • Force exerted by the floor (upward).

    • Diagram Elements:

    • Center of mass represented by a dot.

    • Arrows indicating forces:

      • Downward arrow for gravitational force.

      • Upward arrow for normal force from the floor.

  • Another Example: Person lifting an object.

    • Identify interactions:

    • Object’s downward force on the person.

    • Earth’s downward gravitational force on the person.

    • Floor’s upward push on the person.

    • Draw arrows accordingly in the free body diagram with correct labels.

Practice Exercise

  • Task: Draw a free body diagram for a suitcase being pulled across the floor.

  • Identified Interactions:

    • Ground (contact force), person pulling the suitcase (contact force), Earth (gravitational pull).

  • Arrow Directions:

    • Arrow from the person (up and to the right) indicating the force of the person on the suitcase.

    • Downward arrow for the gravitational force from the Earth.

    • Upward arrow for the normal force from the ground.

Conclusion

  • Key Takeaways:

    • A force is a vector quantity describing the interactions between objects or systems.

    • An object cannot exert a force on itself; all forces are external.

    • Free body diagrams are essential for visualizing and analyzing forces acting on an object or system.

  • Closing Remarks: Thank you for engaging in this physics topic.