1. Newton's Laws, Vectors, and Reference Frames
- Lecture 1: History of Dynamics; Motion in Moving Reference Frames00:54:18
- Lecture 2: Newton's Laws and Describing the Kinematics of Particles
- Kinematics
- Problems and Concept Questions 1
2. Velocity, Acceleration, and Rotational Motion
- Lecture 3: Motion of Center of Mass; Acceleration in Rotating Ref. Frames
- Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates
- Problems and Concept Questions 2
- Notation Systems
- Recitation 2: Velocity and Acceleration in Translating and Rotating Frames
- Recitation 2 Notes: Planar Motion
3. Angular Momentum and Torque
- Lecture 5: Impulse, Torque, and Angular Momentum for a System of Particles
- Lecture 6: Torque and the Time Rate of Change of Angular Momentum
- Problems and Concept Questions 3
- Recitation 3: Motion in Moving Reference Frames
- Recitation 3 Notes: V and A of a Point in a Moving Frame
4. Free Body Diagrams and Fictitious Forces
- Lecture 7: Degrees of Freedom, Free Body Diagrams, and Fictitious Forces
- Lecture 8: Fictitious Forces and Rotating Mass
- Problems and Concept Questions 3
- Recitation 4: Free Body Diagrams
- Recitation 4 Notes: Torque and Angular Momentum, Pendulum with Torsional Spring, Rolling Pipe on Moving Truck
5. Angular Momentum and Rotating Masses
- Lecture 9: Rotating Imbalance
- Lecture 10: Equations of Motion, Torque, Angular Momentum of Rigid Bodies
- Recitation 5: Equations of Motion
- Recitation 5 Notes: Torque and Angular Momentum, Equations of Motion for Multiple Degree-of-Freedom Systems
6. Angular Momentum and Motion of Rotating Rigid Bodies
- Lecture 11: Mass Moment of Inertia of Rigid Bodies
- Lecture 12: Problem Solving Methods for Rotating Rigid Bodies
- Problems and Concept Questions 5
- Recitation 6: Angular Momentum and Torque
- Recitation 6 Notes: Moment of Inertia and Imbalance, Rotating Slender Rod
7. Finding Equations of Motion for Rigid Body Rotation
- Lecture 13: Four Classes of Problems With Rotational Motion
- Lecture 14: More Complex Rotational Problems and Their Equations of Motion
- Problems and Concept Questions 6
- Recitation 7: Cart and Pendulum, Direct Method
- Recitation 7 Notes: Equations of Motion for Cart & Pendulum (Lagrange)
8. Lagrange Equations
- Lecture 15: Introduction to Lagrange With Examples
- Notation Systems
- Lagrange Handout
- Recitation 8: Cart and Pendulum, Lagrange Method
- Recitation 8 Notes: Cart and Pendulum (Lagrange)
9. Lagrange Equations Continued
- Lecture 16: Kinematic Approach to Finding Generalized Forces
- Lecture 17: Practice Finding EOM Using Lagrange Equations
- Problems and Concept Questions 7
- Recitation 9: Generalized Forces
- Recitation 9 Notes: Generalized Forces with Double Pendulum Example
10. Mechanical Vibration
- Lecture 19: Introduction to Mechanical Vibration
- Lecture 20: Linear System Modeling a Single Degree of Freedom Oscillator
- Problems and Concept Questions 9
11. Reducing Problem Vibration and Intro to Multi-DOF Vibration
- Lecture 21: Vibration Isolation
- Lecture 22: Finding Natural Frequencies & Mode Shapes of a 2 DOF System
- Recitation 10: Steady State Dynamics
- Recitation 10 Notes: Natural Frequency From Deflection & Frequency Response
12. Vibration of Multi-Degree-of-Freedom Systems
- Lecture 23: Vibration by Mode Superposition
- Lecture 24: Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix
- Problems and Concept Questions 10
- Recitation 11: Double Pendulum System
- Recitation 11 Notes: Double Pendulum System
13. Vibration Analysis by Mode Superposition
- Lecture 25: Modal Analysis: Response to IC's and to Harmonic Forces
- Lecture 26: Response of 2-DOF Systems by the Use of Transfer Functions
- Lecture 27: Vibration of Continuous Structures: Strings, Beams, Rods, etc.
- Problems and Concept Questions 11
- Recitation 12: Modal Analysis of a Double Pendulum System
- Recitation 12 Notes: Modal Analysis
