Lecture Notes for PHY 405 Classical Mechanics From Thorton & Marion’s Classical Mechanics Prepared by Dr. Joseph M. Hahn Saint Mary’s University Department of Astronomy & Physics November 21, 2004 Problem Set #6 due Thursday December 1 at the start of class late homework will not be accepted text problems 10–8, 10–18, 11–2, 11–7, 11-13, 11–20, 11–31 Final Exam Tuesday December 6 10am-1pm in MM310 (note the room change!) ...
Scribe notes for Rigid Body Dynamics lecture given on Feb 15 Jonathan Culp There are 12 Degrees of Freedom (DOF) in an unconstrained rigid body: 3 for position q=[qxqyqz] 3 for rotation ω=[ωxωyωz] 3 for linear velocity q 3 for angular velocity ω But – computationally speaking – its rare that the state vector is represented as [ q w q w] . More commonly Linear Momentum P and Angular Momentum. L replace their respective velocities. So ...
ROTATIONALDYNAMICS 1 David J. Jeery 2008 January 1 ABSTRACT Lecture notes on what the title says and what the subject headings say. Subject headings: rotational dynamics — cross product — angular momentum — torque —conservation of angular momentum — rigid-bodyrotation— rotational inertial — gravitational torque — physical pendulum — parallel-axis theorem —rotational work-kinetic-energy theorem — rotational kinetic energy — work- energy theorem — rollers — Atwood’s machine 1. INTRODUCTION Rotational dynamics are the dynamics of rotating systems ...
Lecture Notes on the Dynamics of Particles and Rigid Bodies Class Notes for Engineering Mechanics III ME170 and Intermediate Dynamics ME175 Oliver M. O’Reilly To Anna Contents Preface page xi Part I Dynamics of a Single Particle 1 1 Kinematics of a Single Particle 1 1.1 Introduction 1 1.2 Kinematics of a Particle 1 1.3 Frequently Used Coordinate Systems 2 1.3.1 Cartesian Coordinate System 2 1.3.2 Cylindrical Polar Coordinates 3 1.3 ...
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