VECTOR MECHANICS FOR ENGINEERS: DYNAMICS

Tenth Edition

CHAPTER VECTOR MECHANICS FOR ENGINEERS:

17 DYNAMICS

Ferdinand P. Beer

E. Russell Johnston, Jr. Phillip J. Cornwell

PPllaanee MMootitoionnofoRf iRgiidgid

Lecture Notes:

BoBdoiedise:sE: nergy and

Momentum Methods Brian P. Self

California State Polytechnic University

Energy and Momentum

Methods

? 2013 The McGraw-Hill Companies, Inc. All rights reserved.

Tenth Edition

Vector Mechanics for Engineers: Dynamics

Contents

Introduction Principle of Work and Energy for a

Rigid Body Work of Forces Acting on a Rigid Body Kinetic Energy of a Rigid Body in Plane

Motion Systems of Rigid Bodies Conservation of Energy Power Sample Problem 17.1 Sample Problem 17.2 Sample Problem 17.3 Sample Problem 17.4 Sample Problem 17.5 Principle of Impulse and Momentum

Systems of Rigid Bodies Conservation of Angular Momentum

Sample Problem 17.6 Sample Problem 17.7 Sample Problem 17.8 Eccentric Impact Sample Problem 17.9 Sample Problem 17.10 Sample Problem 17.11

? 2013 The McGraw-Hill Companies, Inc. All rights reserved.

17 - 2

Tenth Edition

Vector Mechanics for Engineers: Dynamics

Introduction

To predict the launch from a catapult, you must apply the principle of work-energy.

To determine the forces acting on the stopper pin when the

catapult reaches its final position, angular impulse momentum

equations are used.

? 2013 The McGraw-Hill Companies, Inc. All rights reserved.

17 - 3

Tenth Edition

Vector Mechanics for Engineers: Dynamics

Introduction

? Method of work and energy and the method of impulse and momentum will be used to analyze the plane motion of rigid bodies and systems of rigid bodies.

? Principle of work and energy is well suited to the solution of problems involving displacements and velocities.

T1 U12 T2

? Principle of impulse and momentum is appropriate for

problems involving velocities and time.

t2

L1 Fdt L2

H

O

1

t2

M

O dt

H

O

2

t1

t1

? Problems involving eccentric impact are solved by supplementing the principle of impulse and momentum with the application of the coefficient of restitution.

? 2013 The McGraw-Hill Companies, Inc. All rights reserved.

17 - 4

Tenth Edition

Vector Mechanics for Engineers: Dynamics

Introduction

Approaches to Rigid Body Kinetics Problems

Forces and Accelerations

Velocities and Displacements

Velocities and Time

Newton's Second Law (last chapter)

Work-Energy

?F = maG

?M G

=

H G

T1 U12 T2

? 2013 The McGraw-Hill Companies, Inc. All rights reserved.

ImpulseMomentum

? mv 1

+

t2 t1

F

dt

=

mv 2

IG1

t2 t1

MG

dt

IG2

17 - 5

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