| Newton's Laws, Vectors, and Reference Frames |
None |
Lecture 1: History of Dynamics; Motion in Moving Reference Frames
Lecture 2: Newton's Laws and Describing the Kinematics of Particles
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None |
| Velocity, Acceleration, and Rotational Motion |
Problem Set 2: Problems and Concept Questions (PDF)
Problem Set 2: Concept Question Answer Key (PDF)
Problem Set 2: Problem Solutions and Explanations (PDF)
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Lecture 3: Motion of Center of Mass; Acceleration in Rotating Ref. Frames
Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates
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Notation Systems
Recitation 2: Velocity and Acceleration in Translating and Rotating Frames
Recitation 2 Notes: Planar Motion (PDF - 1.1MB)
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| Angular Momentum and Torque |
Problem Set 3: Problems and Concept Questions (PDF)
Problem Set 3: Concept Question Answer Key (PDF)
Problem Set 3: Problem Solutions and Explanations (PDF - 1.1MB)
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Lecture 5: Impulse, Torque, and Angular Momentum for a System of Particles
Lecture 6: Torque and the Time Rate of Change of Angular Momentum
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Recitation 3: Motion in Moving Reference Frames
Recitation 3 Notes: V and A of a Point in a Moving Frame (PDF - 1.6MB)
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| Free Body Diagrams and Fictitious Forces |
Problem Set 4: Problems and Concept Questions (PDF)
Problem Set 4: Concept Question Answer Key (PDF - 1.7MB)
Problem Set 4: Problem Solutions and Explanations (PDF)
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Lecture 7: Degrees of Freedom, Free Body Diagrams, and Fictitious Forces
Lecture 8: Fictitious Forces and Rotating Mass
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Recitation 4: Free Body Diagrams
Recitation 4 Notes: Torque and Angular Momentum, Pendulum with Torsional Spring, Rolling Pipe on Moving Truck (PDF)
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| Angular Momentum and Rotating Masses |
None |
Lecture 9: Rotating Imbalance
Lecture 10: Equations of Motion, Torque, Angular Momentum of Rigid Bodies
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Recitation 5: Equations of Motion
Recitation 5 Notes: Torque and Angular Momentum, Equations of Motion for Multiple Degree-of-Freedom Systems (PDF - 1.1MB)
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| Angular Momentum and Motion of Rotating Rigid Bodies |
Problem Set 5: Problems and Concept Questions (PDF)
Problem Set 5: Concept Question Answer Key (PDF)
Problem Set 5: Problem Solutions and Explanations (PDF)
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Lecture 11: Mass Moment of Inertia of Rigid Bodies
Lecture 12: Problem Solving Methods for Rotating Rigid Bodies
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Recitation 6: Angular Momentum and Torque
Recitation 6 Notes: Moment of Inertia and Imbalance, Rotating Slender Rod (PDF - 1.1MB)
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| Finding Equations of Motion for Rigid Body Rotation |
Problem Set 6: Problems and Concept Questions (PDF)
Problem Set 6: Concept Question Answer Key (PDF)
Problem Set 6: Problem Solutions and Explanations (PDF)
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Lecture 13: Four Classes of Problems With Rotational Motion
Lecture 14: More Complex Rotational Problems and Their Equations of Motion
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Recitation 7: Cart and Pendulum, Direct Method
Recitation 7 Notes: Equations of Motion for Cart & Pendulum (Lagrange)(PDF - 1.2MB)
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| Lagrange Equations |
None |
Notation Systems
Lecture 15: Introduction to Lagrange With Examples
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Recitation 8: Cart and Pendulum, Lagrange Method
Recitation 8 Notes: Cart and Pendulum (Lagrange) (PDF)
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| Lagrange Equations Continued |
Problem Set 7: Problems and Concept Questions (PDF)
Problem Set 7: Concept Question Answer Key (PDF)
Problem Set 7: Problem Solutions and Explanations (PDF)
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Lecture 16: Kinematic Approach to Finding Generalized Forces
Lecture 17: Practice Finding EOM Using Lagrange Equations
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Recitation 9: Generalized Forces
Recitation 9 Notes: Generalized Forces with Double Pendulum Example (PDF)
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| Quiz Review Lecture & Quiz 2 |
Problem Set 8 (PDF)
Problem Set 8: Problem Solutions and Explanations (PDF)
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Lecture 18: Quiz Review From Optional Problem Set 8
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None |
| Mechanical Vibration |
Problem Set 9: Problems and Concept Questions (PDF)
Problem Set 9: Concept Question Answer Key (PDF)
Problem Set 9: Problem Solutions and Explanations (PDF)
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Lecture 19: Introduction to Mechanical Vibration
Lecture 20: Linear System Modeling a Single Degree of Freedom Oscillator
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None |
| Reducing Problem Vibration and Intro to Multi-DOF Vibration |
None |
Lecture 21: Vibration Isolation
Lecture 22: Finding Natural Frequencies & Mode Shapes of a 2 DOF System
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Recitation 10: Steady State Dynamics
Recitation 10 Notes: Natural Frequency From Deflection & Frequency Response (PDF)
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| Vibration of Multi-Degree-of-Freedom Systems |
Problem Set 10: Problems and Concept Questions (PDF)
Problem Set 10: Concept Question Answer Key (PDF)
Problem Set 10: Problem Solutions and Explanations (PDF - 1.1MB)
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Lecture 23: Vibration by Mode Superposition
Lecture 24: Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix
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Recitation 11: Double Pendulum System
Recitation 11 Notes: Double Pendulum System (PDF)
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| Vibration Analysis by Mode Superposition |
Problem Set 11: Problems and Concept Questions (PDF)
Problem Set 11: Concept Question Answer Key (PDF)
Problem Set 11: Problem Solutions and Explanations (PDF)
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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.
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Recitation 12: Modal Analysis of a Double Pendulum System
Recitation 12 Notes: Modal Analysis (PDF)
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