Engineering Dynamics (Fall 2011)

Engineering Dynamics (Fall 2011)

Prof. J. Kim Vandiver and Prof. David Gossard via MIT OpenCourseWare Direct link

1. History of Dynamics; Motion in Moving Reference Frames

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1 of 39

1. History of Dynamics; Motion in Moving Reference Frames

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Classroom Contents

Engineering Dynamics (Fall 2011)

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  1. 1 1. History of Dynamics; Motion in Moving Reference Frames
  2. 2 2. Newton's Laws & Describing the Kinematics of Particles
  3. 3 3. Motion of Center of Mass; Acceleration in Rotating Ref. Frames
  4. 4 4. Movement of a Particle in Circular Motion w/ Polar Coordinates
  5. 5 R2. Velocity and Acceleration in Translating and Rotating Frames
  6. 6 5. Impulse, Torque, & Angular Momentum for a System of Particles
  7. 7 6. Torque & the Time Rate of Change of Angular Momentum
  8. 8 R3. Motion in Moving Reference Frames
  9. 9 7. Degrees of Freedom, Free Body Diagrams, & Fictitious Forces
  10. 10 8. Fictitious Forces & Rotating Mass
  11. 11 R4. Free Body Diagrams
  12. 12 9. Rotating Imbalance
  13. 13 10. Equations of Motion, Torque, Angular Momentum of Rigid Bodies
  14. 14 R5. Equations of Motion
  15. 15 11. Mass Moment of Inertia of Rigid Bodies
  16. 16 12. Problem Solving Methods for Rotating Rigid Bodies
  17. 17 R6. Angular Momentum and Torque
  18. 18 13. Four Classes of Problems With Rotational Motion
  19. 19 14. More Complex Rotational Problems & Their Equations of Motion
  20. 20 R7. Cart and Pendulum, Direct Method
  21. 21 Notation Systems
  22. 22 15. Introduction to Lagrange With Examples
  23. 23 R8. Cart and Pendulum, Lagrange Method
  24. 24 16. Kinematic Approach to Finding Generalized Forces
  25. 25 17. Practice Finding EOM Using Lagrange Equations
  26. 26 R9. Generalized Forces
  27. 27 18. Quiz Review From Optional Problem Set 8
  28. 28 19. Introduction to Mechanical Vibration
  29. 29 20. Linear System Modeling a Single Degree of Freedom Oscillator
  30. 30 21. Vibration Isolation
  31. 31 22. Finding Natural Frequencies & Mode Shapes of a 2 DOF System
  32. 32 R10. Steady State Dynamics
  33. 33 23. Vibration by Mode Superposition
  34. 34 24. Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix
  35. 35 R11. Double Pendulum System
  36. 36 25. Modal Analysis: Response to IC's and to Harmonic Forces
  37. 37 26. Response of 2-DOF Systems by the Use of Transfer Functions
  38. 38 27. Vibration of Continuous Structures: Strings, Beams, Rods, etc.
  39. 39 R12. Modal Analysis of a Double Pendulum System

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