1 edition of **Rigid body mechanics** found in the catalog.

- 91 Want to read
- 24 Currently reading

Published
**2005**
by Wiley-VCH in Weinheim
.

Written in English

- Festkörpermechanik,
- Rigid Dynamics

**Edition Notes**

Statement | William B. Heard |

Series | Physics textbook |

Contributions | Wiley online library |

Classifications | |
---|---|

LC Classifications | QA861 .H43 2005eb |

The Physical Object | |

Format | [electronic resource] : |

ID Numbers | |

Open Library | OL27085699M |

ISBN 10 | 3527618813 |

ISBN 10 | 9783527618811 |

OCLC/WorldCa | 212178163 |

Rotational motion is more complicated than linear motion, and only the motion of rigid bodies will be considered here. A rigid body is an object with a mass that holds a rigid shape, such as a phonograph turntable, in contrast to the sun, which is a ball of gas. Many of the equations for the mechanics of rotating objects are similar to the motion equations for linear motion. This book covers the following topics: Concurrent forces on a plane, Composition and Resolution of forces, Method of moments, Friction, Ladder and rope friction, Principle of virtual work, Rectilinear Translation, Principle of Dynamics, D’Alembert’s Principle, Motion of a Projectile, Rotation of rigid body.

The tools that allow the description of the motion of the rigid body are recalled. We used both Euler’s angles and Euler’s parameters (normalized quaternions) to describe the orientations of. S.L. Quimby of Columbia University noted that the first half of the first edition of the book is dedicated to the development of Lagrangian mechanics with the treatment of velocity-dependent potentials, which are important in electromagnetism, and the use of the Cayley-Klein parameters and matrix algebra for rigid-body dynamics. This is Author: Herbert Goldstein.

A rigid body is one which does not deform, in other words the distance between the individual particles making up the rigid body remains unchanged under the action of external forces. A new aspect of mechanics to be considered here is that a rigid body under the action of a force has a tendency to rotate about some axis. Thus, in order that a File Size: KB. Name of the Book: Engineering Mechanics by S Timoshenko. Name of the Authors: S. Timoshenko, DH Young, Pati Sukumar and JV Rao Rotation of a Rigid Body about a Fixed Axis, Parallel Forces in a Plane, Principle of Virtual work, General Case of Forces in a Plane, Rotation of a Rigid Body about a Fixed Axis and Relative Motion. There are four.

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This textbook is a modern account of the mathematical techniques, physical theories and applications of rigid body mechanics. It emphasizes the fundamentals of the subject, stresses the importance of notation, integrates the modern geometric view of mechanics and offers a wide variety of examples - ranging from molecular dynamics to mechanics of robots and planetary rotational by: About this book This textbook is a modern, concise and focused treatment of the mathematical techniques, physical theories and applications of rigid body mechanics, bridging the gap between the geometric and more classical approaches to the topic.

The mechanics of rigid bodies can be found in any good dynamics textbook (e.g., [1, 2]).However, few textbooks present the theory in a form that is optimized for readers who are already familiar with advanced tensor analysis. This textbook is a modern, concise and focused treatment of the mathematical techniques, physical theories and applications of rigid body mechanics, bridging the gap between the geometric and more classical approaches to the topic.

It emphasizes the fundamentals of the subject, stresses the importance of notation, integrates the modern geometric view of mechanics and offers a wide variety of. Mechanics of Rigid Body. DYNAMICS. Conservation of Angular momentum Gyroscope The gyroscope is a example of motion in which the axis of rotation changes direction.

Conservation of Angular Momentum When the net external torque acting on a system remains zero, we have or. Contributor; No real solid body is perfectly rigid. A rotating nonrigid body will be distorted by centrifugal force * or by interactions with other bodies.

Nevertheless most people will allow that in practice some solids are fairly rigid, are rotating at only a modest speed, and any distortion is small compared with the overall size of the body.

Mechanics of Rigid Body Introduction: Forces acting on a rigid body Forces acting of rigid bodies can be also separated in two groups: (a) The external forces, represent the action of other bodies on the rigid body under consideration; (b) The internal forces are the File Size: 1MB.

( views) Mechanics of Rigid Body by Janusz Krodkiewski, The purpose of this text is to provide the students with the theoretical background and engineering applications of the three dimensional mechanics of a rigid body. Covered are three-dimensional kinematics and kinetics of particles and rigid bodies.

Rigid Body Impact Mechanics. Lakshmana Rao. Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai Book Author(s): Rigid body impact analysis is normally visualised under the assumption of a small contact area undergoing negligible deformation during the impact process.

This is normally true only. Chapter 5 Equilibrium of a rigid body. Summary of Mechanics 0) The laws of mechanics apply to any collection of material or ‘body.’This body could be the overall system of study or any part of it.

In the equations below, the forces and moments are those that show on a free body diagram. Interacting bodies cause equal and opposite forces and moments on each other.

Browse book content. About the book. Search in this book. Search in this book. Browse content Table of contents. Select all Front Matter. Full text access. Explains the use of matrixes and their application to the solution of rigid body mechanics problems.

Text is supported by chapters of worked examples. Example \(\PageIndex{1}\) Let us imagine that we have a concrete brick of dimensions 10 cm x 15 cm x 20 cm, and of density 4 g cm-3, and that it is rotating about a body diameter (the ends of which are fixed) at an angular speed of 6 rad s I hope you’ll agree that the mass is g = 12 kg.

Rigid Body Motion In this chapter we develop the dynamics of a rigid body, one in which all clidean space arise often in applications in quantum mechanics and quantum eld theory, in addition to the classical problems we will consider such as with the book standing upright on.

In the second section, rigid body kinematics is considered. The section deals with two methods to describe attitude motion of rigid body, which are used in the book: two types of Euler angles (ZYZ and XYZ rotation sequences) and directional cosine matrix.

Mechanics - Mechanics - Rigid bodies: Statics is the study of bodies and structures that are in equilibrium. For a body to be in equilibrium, there must be no net force acting on it.

In addition, there must be no net torque acting on it. Figure 17A shows a body in equilibrium under the action of equal and opposite forces.

Figure 17B shows a body acted on by equal and opposite forces that. An overview over the theoretical background of rigid body mechanics is given as well as a systematic approach for deriving model equations of general rigid body mechanisms in the form of differential-algebraic equations (DAE).

Objective of this book is to prepare the reader for being capable of efficiently handling and applying general purpose Format: Paperback. Engineering Mechanics Rigid-body Mechanics • a basic requirement for the study of the mechanics of deformable bodies and the mechanics of fluids (advanced courses).

• essential for the design and analysis of many types of structural members, mechanical components, electrical devices, etc, encountered in engineering.

Chapter 1 Rigid Body dynamics In order to describe the attitude of a rigid body and to determine its evolution as a function of its initial angular velocity and applied torques, Euler’s angles and Euler’s In atmospheric °ight mechanics the most widely used sequence of rotations is the 3{2{1, File Size: 6MB.

Rigid Body Dynamics Novem 1 Non-inertial frames of reference So far we have formulated classical mechanics in inertial frames of reference, i.e., those vector bases in which Newton’s second law holds (we have also allowed general coordinates, in which the Euler-Lagrange equationshold).

Textbook for engineering students who wish to prepare for more advanced studies of dynamics. The emphasis is on particle and rigid-body dynamics. The book shows how the classical mechanics methods are applied to the various branches of engineering.

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