General mechanics. Dynamics

General mechanics. Dynamics

Zenon Hendzel, Wiesław Żylski
słowa kluczowe: dynamics of a particle, dynamics of a system of particles. dynamics of a solid, energy methods, analytical mechanics
© Copyright by Oficyna Wydawnicza Politechniki Rzeszowskiej,
Rzeszów 2016
ISBN 978-83-7934-167-5

CONTENTS
INTRODUCTION
1. DYNAMICS OF A PARTICLE
1.1. Forces acting at a particle,
1.2. Differential equations of motion of a particle,
1.3. Inverse dynamics,
1.4. Forward dynamics,
1.5. Differential equations of motion in curvilinear coordinates
1.6. D’Alembert’s principle,
1.7. Relative motion,
1.8. Relative equilibrium
2. DYNAMICS OF A SYSTEM OF PARTICLES
2.1. Introductory remarks,
2.2. Center of mass of a system,
2.3. Linear momentum vector of the center of mass,
2.4. Equation of motion for the center of mass,
2.5. Impulse of force (impulse momentum),
2.6. Angular momentum of a system of material particles,
2.7. Geometric of mass
3. DYNAMICS OF A SOLID
3.1. Translational motion of a solid,
3.2. Rotational motion of a solid,
3.3. Plane motion of a solid,
3.4. Dynamics of a system of solids,
3.5. Rotational motion of a solid about a fixed point (spherical motion),
3.6. General motion of a solid (arbitrary motion)
4. ENERGY METHODS FOR DESCRIBING THE PHENOMENON OF MOTION
4.1. Kinetic energy,
4.2. Work done by the force system
5. ANALYTICAL MECHANICS
5.1. Principle of virtual work,
5.2. Principle of dynamic force analysis equilibrium,
5.3. General equation of dynamics,
5.4. Lagrange’s equations
BIBLIOGRAPHY