Engineering Dynamics

Resource Index

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TITLES	ASSIGNMENTS	LECTURE VIDEOS	RECITATION videoS & notes
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	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)	Lecture 3: Motion of Center of Mass; Acceleration in Rotating Ref. Frames Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates	Notation Systems 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)	Lecture 5: Impulse, Torque, and Angular Momentum for a System of Particles Lecture 6: Torque and the Time Rate of Change of Angular Momentum	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)	Lecture 7: Degrees of Freedom, Free Body Diagrams, and Fictitious Forces Lecture 8: Fictitious Forces and Rotating Mass	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	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 (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)	Lecture 11: Mass Moment of Inertia of Rigid Bodies Lecture 12: Problem Solving Methods for Rotating Rigid Bodies	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)	Lecture 13: Four Classes of Problems With Rotational Motion Lecture 14: More Complex Rotational Problems and Their Equations of Motion	Recitation 7: Cart and Pendulum, Direct Method Recitation 7 Notes: Equations of Motion for Cart & Pendulum (Lagrange)(PDF - 1.2MB)
Lagrange Equations	None	Notation Systems Lecture 15: Introduction to Lagrange With Examples	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)	Lecture 16: Kinematic Approach to Finding Generalized Forces Lecture 17: Practice Finding EOM Using Lagrange Equations	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)	Lecture 19: Introduction to Mechanical Vibration Lecture 20: Linear System Modeling a Single Degree of Freedom Oscillator	None
Reducing Problem Vibration and Intro to Multi-DOF Vibration	None	Lecture 21: Vibration Isolation Lecture 22: Finding Natural Frequencies and Mode Shapes of a 2 DOF System	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)	Lecture 23: Vibration by Mode Superposition Lecture 24: Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix	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)	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.	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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