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TITLES ASSIGNMENTS LECTURE VIDEOS RECITATION videoS & notes
Newton's Laws, Vectors, and Reference Frames None

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Lecture 1: History of Dynamics; Motion in Moving Reference Frames

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Lecture 2: Newton's Laws and Describing the Kinematics of Particles

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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

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Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates

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Notation Systems

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Recitation 2: Velocity and Acceleration in Translating and Rotating Frames

Recitation 2 Notes: Planar Motion (PDF - 1.1MB)
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

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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)
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

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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)
Angular Momentum and Rotating Masses None

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Lecture 9: Rotating Imbalance

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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)
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

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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)
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

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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)
Lagrange Equations None

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Notation Systems

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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)
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

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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)
Quiz Review Lecture & Quiz 2

Problem Set 8 (PDF)

Problem Set 8: Problem Solutions and Explanations (PDF)

 Lecture 18: Quiz Review From Optional Problem Set 8 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

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Lecture 20: Linear System Modeling a Single Degree of Freedom Oscillator

 None
Reducing Problem Vibration and Intro to Multi-DOF Vibration None

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Lecture 21: Vibration Isolation

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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)
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

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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)
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

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Lecture 26: Response of 2-DOF Systems by the Use of Transfer Functions

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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)

Quiz 1

QUIZ SCOPE QUIZ AND SOLUTIONS
Quiz 1

Quiz 1 (PDF)

Quiz 1 Solutions (PDF)

Quiz 2

QUIZ SCOPE QUIZ AND SOLUTIONS
Quiz 2

Quiz 2 (PDF)

Quiz 2 Solutions (PDF)

Final Exam

FINAL EXAM SCOPE FINAL EXAM AND SOLUTIONS
Final Exam

Final Exam (PDF)

Final Exam Solutions (PDF)

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