Elementary Dynamics

Below are a set of links to notes, equation sheets, and example problems on elementary dynamics (often referred to as engineering mechanics – dynamics). The topics covered are those typically covered in a first course in two-dimensional dynamics in engineering curricula.

ME258Figure Spool with Applied Load
Spool with Applied Load with Free-Body Diagram

Reference: R. C. Hibbeler, Engineering Mechanics: Dynamics, 13th Edition, Prentice-Hall, 2013.

Notes

Particle Motion:

  1. Rectilinear Motion
  2. Acceleration Profiles
  3. Acceleration Profiles Example
  4. Curvilinear Motion – Rectangular Components
  5. Curvilinear Motion – Normal and Tangential Components
  6. Curvilinear Motion – Radial and Transverse Components
  7. Dependent Motion: Pulley Problems
  8. Relative Motion of Two Particles
  9. Kinetics of Particles: Newton’s Second Law
  10. Principle of Work and Energy
  11. Power and Efficiency
  12. Conservation of Energy
  13. Principle of Impulse and Momentum
  14. Conservation of Linear Momentum
  15. Impact of Particles

Rigid Body Motion:

  1. Introduction to Rigid Body Kinematics (2D)
  2. Pure Rotational Motion (Fixed Axis Rotation) in Two-Dimensions
  3. Relative Velocity of Two Points Fixed on a Rigid Body
  4. Instantaneous Centers of Zero Velocity
  5. Relative Acceleration of Two Points Fixed on a Rigid Body
  6. Point Moving on a Rigid Body (Sliding Contact)
  7. Center of Mass in Two Dimensions
  8. Mass Moments of Inertia (2D)
  9. Angular Momentum of a Rigid Body (2D)
  10. Newton’s Law for Rigid Body Motion (2D)
  11. Work and Energy Principles for Rigid Body Motion (2D)
  12. Principle of Impulse and Momentum for Rigid Body Motion (2D)
  13. Conservation of Momentum and Impact for Rigid Bodies (2D)
  14. Introduction to Vibrations

Equation Sheets

  1. Equation Sheet #1
  2. Equation Sheet #2
  3. Equation Sheet #3
  4. Equation Sheet #4
  5. Equation Sheet #5

Example Problems

  1. 01 – Rectilinear Motion Example 1
  2. 02 – Rectilinear Motion Example 2
  3. 03 – Rectilinear Motion Example 3
  4. 04 – 2D Motion Using Rectangular Components Example 1
  5. 05 – 2D Motion Using Rectangular Components Example 2
  6. 06 – 2D Motion Using Normal & Tangential Components Example 1
  7. 07 – 2D Motion Using Normal & Tangential Components Example 2
  8. 08 – 2D Motion Using Normal & Tangential Components Example 3
  9. 09 – 2D Motion Using Radial & Transverse Components Example 1
  10. 10 – 2D Motion Using Radial & Transverse Components Example 2
  11. 11 – 2D Motion Using Relative Motion Concept Example 1
  12. 12 – 2D Motion Using Relative Motion Concept Example 2
  13. 13 – Particle Newton’s Law Using Rectangular Components Example 1
  14. 14 – Particle Newton’s Law Using Rectangular Components Example 2
  15. 15 – Particle Newton’s Law Using Normal & Tangential Components Example 1
  16. 16 – Particle Newton’s Law Using Normal & Tangential Components Example 2
  17. 17 – Particle Newton’s Law Using Radial & Transverse Components Example 1
  18. 18 – Particle Newton’s Law Using Radial & Transverse Components Example 2
  19. 19 – Particle Work & Energy Example 1
  20. 20 – Particle Work & Energy Example 2
  21. 21 – Particle Work & Energy Example 3
  22. 22 – Particle Conservation of Energy Example
  23. 23 – Particle Impulse & Momentum Example 1
  24. 24 – Particle Impulse & Momentum Example 2
  25. 25 – Particle Conservation of Linear Momentum Example 1
  26. 26 – Particle Conservation of Linear Momentum Example 2
  27. 27 – Particle Conservation of Linear Momentum with Impact Example 1
  28. 28 – Particle Conservation of Linear Momentum with Impact Example 2
  29. 29 – RigidBodyKinematics – Pure Rotational Motion Example
  30. 30 – Rigid Body Kinematics – Relative Velocity Example 1
  31. 31 – Rigid Body Kinematics – Relative Velocity Example 2
  32. 32 – Rigid Body Kinematics – Relative Velocity Example 3
    32a – Rigid Body Kinematics – Relative Velocity Example 4
  33. 33 – Rigid Body Kinematics – Instantaneous Centers Example #1
  34. 34 – Rigid Body Kinematics – Instantaneous Centers Example #2
    34a – Rigid Body Kinematics – Instantaneous Centers Example #3
    34b – Rigid Body Kinematics – Instantaneous Centers Example #4
  35. 35 – Rigid Body Kinematics – Relative Acceleration Example 1
  36. 36 – Rigid Body Kinematics – Relative Acceleration Example 2
  37. 37 – Rigid Body Kinematics – Relative Acceleration Example 3
  38. 38 – Rigid Body Kinematics – Sliding Contact Acceleration Example
  39. 39 – Rigid Body Kinetics – Mass Center/Inertia Example
  40. 40 – Rigid Body Kinetics – Translation Example #1
  41. 41 – Rigid Body Kinetics – Translation Example #2
  42. 42 – Rigid Body Kinetics – Fixed Axis Rotation Example
  43. 43 – Rigid Body Kinetics – General Plane Motion Example #1
  44. 44 – Rigid Body Kinetics – General Plane Motion Example #2
  45. 45a – Rigid Body Kinetics – Work Energy Example #1
    45b – Rigid Body Kinetics – Work Energy Example #2
  46. 46 – Rigid Body Kinetics – Conservation of Energy Example
  47. 47 – Rigid Body Kinetics – Impulse & Momentum Example #1
  48. 48 – Rigid Body Kinetics – Impulse & Momentum Example #2
  49. 49 – Rigid Body Kinetics – Impulse & Momentum Example #3
  50. 50 – Rigid Body Kinetics – Impulse & Momentum – Impact Example #1
  51. 51 – Rigid Body Kinetics – Impulse & Momentum – Impact Example #2