Engineering Mechanics : Dynamics

by Pytel, Andrew

• ISBN13: 9781861526182
• ISBN10: 1861526180
• Edition: 2nd
• Format: Paperback
• Copyright: 2001-03-01
• Publisher: ITP (Manual)

Summary

Now fully incorporated with SI units, these books teach students the basic mechanical behaviour of materials at rest (statics) and in motion (dynamics) while developing their mastery of engineering methods of analysing and solving problems. Traditionally, books for the statics and dynamics courses require students simply to plug problem data into standardised mathematical formulas and then compute an answer without thinking through the problem beforehand. Pytel and Kiusalaas reject this 'plug-and-chug' approach. In sample problems throughout the book, the authors direct students to identify the number of unknowns and independent equations in the problem before they attempt to calculate an answer. In this way, Pytel and Kiusalaas continually train students to think about how and why problems can be solved, by recognising up front whether a problem is statically determinate, or statically indeterminate. Pytel and Kiusalaas is the only textbook that continually reinforces students' ability to recognise determinacy and indeterminacy. Developing this ability in students is a priority for all instructors, especially in the statics course.

Table of Contents

Introduction to dynamics Introduction

Derivatives of Vector Functions

Position, Velocity, and Acceleration of a Particle

Newtonian Mechanics

Dynamics of a particle: rectangular coordinates Introduction

Kinematics

Kinematics: Force-Mass-Acceleration Method

Dynamics of Rectilinear Motion

Superposition of Rectilinear Motions

Motion Diagrams by the Area Method

Numerical Integration of a Second-Order Differential Equation

Numerical Integration of Coupled Second-Order Differential Equations

Dynamics of a particle: curvilinear coordinates Introduction

Kinematics - Path (Normal-Tangential) Coordinates

Kinematics - Polar and Cylindrical Coordinates

Kinetics: Force-Mass-Acceleration Method

Numerical Integration: Curvilinear Coordinates

Work-energy and impulse-momentum principle for a particle Introduction

Work of a Force

Principle of Work and Kinetic Energy

Conservative Force and the Conservation of Mechanical Energy

Power and Efficiency

Principle of Impulse and Momentum

Principle of Angular Impulse and Momentum

Space Motion under a Gravitational Force

Dynamics of particle systems Introduction

Kinematics of Relative Motion

Kinematics of Constrained Motion

Kinetics: Force-Mass-Acceleration Method

Work-Energy Principles

Principle of Impulse and Momentum

Principle of Angular Impulse and Momentum

Plastic Impact

Impulsive Motion

Elastic Impact

Mass Flow

Planar kinematics of rigid bodies Introduction

Plane Angular Motion

Rotation about a Fixed Axis

Relative Motion of Two Points in a Rigid Body

Method of Relative Velocity

Instant Center for Velocities

Method of Relative Acceleration

Absolute and Relative Derivatives of Vectors

Motion Relative to a Rotating Reference Frame

Method of Constraints

Planar kinetics of rigid bodies: force-mass-acceleration method Introduction

Mass Moment of Inertia

Composite Bodies

Angular Momentum of a Rigid Body

Equations of Plane Motion

Force-Mass-Acceleration Method: Plane Motion

Differential Equations of Motion

Planar kinetics of rigid bodies: work-energy and impulse-momentum methods

Work-Energy Method

Introduction

Work and Power of a Couple

Kinetic Energy of a Rigid Body

Work-Energy Principle and Conservation of Mechanical Energy

Impulse-Momentum Method

Momentum Diagrams

Impulse-Momentum Principles

Rigid-Body Impact

Rigid-body dynamics in three dimensions Introduction

Kinematics

Impulse-Momentum Method

Work-Energy Method

Force-Mass-Acceleration Method

Motion of an Axisymmetric Body

Vibrations Introduction

Undamped Free Vibrations of Particles

Undamped Forced Vibrations of Particles

Damped Free Vibrations of Particles

Rigid-Body Vibrations

Energy Method and Rayleigh's Method

Appendices

D. Proof of the relative velocity equation for rigid-body motion

E. Numerical differentiation

Introduction

Central Difference Formulas with Error of Order (delta x) Squared

F. Mass moments and products of inertia

Introduction

Review of Mass Moment of Inertia

Moments of Inertia of Thin Plates

Mass Moment of Inertia by Integration

Mass Products of Inertia

Parallel-Axis The orems

Products of Inertia by Integration

Thin Plates

Inertia Tensor

Moment of Inertia about an Arbitrary Axis

Principle Moments and Principle Axes of Inertia

Answers

Index

Table of Contents provided by Publisher. All Rights Reserved.