Motion in a Plane Lecture Notes

Jun 26, 2024

Motion in a Plane

Introduction

  • Welcome to the presentation and introduction of the agenda
  • Concepts of motion in a plane will be explained through experiments

Experimental Tools

  • Dryer, lunch box, small balls, gun
  • These items will be used to demonstrate during the study

Topics Covered

1. Motion in a Plane

  • It is divided into two parts: vectors and projectile motion
  • Circular motion will also be covered under projectile motion
  • Detailed discussion on diagrams, derivations, and formulas

2. What is a Vector?

  • Vector Quantity: Has both magnitude and direction
  • Examples: force, velocity, displacement, weight
  • Types of Vectors:
    • Equal Vectors: Same magnitude and direction
    • Negative Vectors: Same magnitude but opposite direction
    • Coplanar Vectors: Lie in the same plane
    • Co-initial Vectors: Start from the same initial point
    • Parallel Vectors: Same or opposite direction

3. Unit Vector

  • A vector with magnitude 1
  • Denoted by a cap
  • How to find a Unit Vector: Divide the vector by its magnitude

4. Vector Representation

  • Use I cap, J cap, and K cap for X, Y, and Z axes
  • How to write vectors in terms of these axes

5. Vector Addition

  • Triangle Law: Add two vectors and the third side is the resultant
  • Parallelogram Law: The diagonal of the vectors will be the resultant

6. Projectile Motion

  • Definition: An object thrown at a certain angle from the horizontal
  • Assumptions: Air resistance is neglected, the Earth is flat, g is constant
  • Derivations: Path is parabolic, time of flight, maximum height, horizontal range
  • Maximum Range occurs at a 45° angle

7. Circular Motion

  • Definition: Movement around a fixed radius
  • Angular Velocity and Acceleration: New terms and how to calculate them
  • Centripetal Force and Acceleration: Formulas and derivations

Conclusion

  • Understanding the basics of motion in a plane and motion in a straight line
  • Next steps include combining circular motion and derivations
  • Importance of experiments and clearing concepts through them

Future Plan

  • A review session with questions and answers on all covered topics
  • Implementing live and recorded sessions based on student suggestions