Kinematics

• Kinematics


  The study of the motion of mechanical points, bodies and systems without consideration of their associated physical properties and the forces acting on them
• Scalar


  A physical quantity with only a magnitude
• Vector


  A physical quantity with both a magnitude and direction
• Position


  The physical location of an object in space relative to an origin or other reference point in a defined coordinate system
• Displacement


  A measurement of a change in position, or how far an object has moved from a reference point
• Distance


  A measurement of the total movement an object has traveled without reference to the direction of motion
• Variables in Kinematics


  • Position (x)
  • Time (t)
  • Displacement (∆x)
  • Acceleration (a)
  • Velocity (v)
• Kinematics is the study of the motion of mechanical points, bodies and systems without consideration of their associated physical properties and the forces acting on them
• Kinematics is often referred to as the geometry of motion, and it models these motions mathematically using algebra
• History of Kinematics


  1. Ancient Contributions

  2. Renaissance and Scientific Revolution

  3. Newton's Contributions

  4. Further Developments

  5. 20th Century Developments

  6. Contemporary Significance
• Sample Problem 1: Horizontal Motion


  1. Vi = 0 m/s

  2. a = 3.20 m/s2

  3. t = 32.8 s

  4. d = ?
• Sample Problem 2: Vertical motion

  1. t = 2.60 s

  2. Vi = 0 m/s

  3. a = 9.8 m/s2

  4. Vf = ?

  5. d = ?
• Sample Problem 3: Projectile motion

  1. t = ?

  2. Vi = 25 m/s

  3. g = 9.8 m/s2

  4. Vf = ?

  5. d = ?

  6. θ = 45
• The engineering team analyzes the kinematics of projectile motion to optimize the trajectory of the drone during flight
• The objective of the Toy Car Kinematics Lab is to understand the basic principles of kinematics by measuring the motion of a toy car
• Materials for Toy Car Kinematics Lab

  • Toy car
  • Ruler or meter stick
  • Stopwatch or timer
  • Smooth, flat surface
  • Tape
• Procedure for Toy Car Kinematics Lab

  1. Set up a smooth, flat surface

  2. Use tape to mark a starting line

  3. Place the toy car behind the starting line

  4. Measure the initial position of the toy car

  5. Start the stopwatch or timer

  6. Release the toy car

  7. Measure the time and final position of the toy car

  8. Calculate the displacement, average velocity
• The Toy Car Kinematics Lab aims to analyze the relationship between distance, time, and velocity
• References

  • Contributor, T. (2018)
  • L. (2020)
  • E. (2020)