Elementary Dynamics

This page provides a set of links to notes, equation sheets, example problems, and recommended exercises in 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
Left: Spool on a Horizontal Plane with an Applied Load
Right: Free-Body Diagram

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

Problem Solving

Problem Solving

Notes

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

Exercises (all answers provided)

  1. Exercises #1 – Rectilinear Motion Profiles
  2. Exercises #2 – Curvilinear Motion: Rectangular Coordinates
  3. Exercises #3 – Curvilinear Motion: Nonstationary Unit Vectors
  4. Exercises #4 – Newton’s Laws for Particle Motion
  5. Exercises #5 – Work, Energy, Energy Conservation, and Newton’s Laws for Particle Motion
  6. Exercises #6 – Impulse, Momentum, Impact, and Energy for Particle Motion
  7. Exercises #7 – Two-Dimensional, Rigid Body Kinematics
  8. Exercises #8 – Two-Dimensional, Rigid Body Kinetics: Inertia and Newton’s Laws
  9. Exercises #9 – Two-Dimensional, Rigid Body Kinetics: Work & Energy
  10. Exercises #10 – Two-Dimensional, Rigid Body Kinetics: Impulse, Momentum, and Energy