Мechanics kinematics dynamics Бuchvarov

Мechanics kinematics dynamics Бuchvarov

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CONTENTS
 
Kinematics
 
Preface 9
 
1 Introduction. 11
 
2.Methods for determination of the particle’s motion. ....12
 
1. Vector method - 12
 
2. Coordinate methods ' 13
 
3. Natural method for description ofparticle’s motion ..15
 
3 .Velocity and acceleration of the particle. V ector presentation 17
 
1 .Definition of the concept for velocity 1.................... 17
 
2.Definition of the concept of acceleration ....18
 
4. Kinematics of a particle in Cartesian coordinates.. ....20
 
1 .Determination of the velocity 20
 
2.Determination of the acceleration 21
 
5. Kinematics of the particle in polar coordinates ....22
 
1 .Polar coordinate system 22
 
2.Determination of the velocity .23
 
3 .Determination of the acceleration 24
 
6. Kinematics of the particle in cylindrical coordinates ....25 ‘
 
1 .Cylindrical coordinate system : .25
 
2. Determination of the velocity 26
 
3 .Determination of the acceleration .....: 27.
 
7. Kinematics of a particle in spherical coordinates 28
 
1.Spherical coordinate system 28
 
2. Determination of the velocity . j 29
 
3. Determination of the acceleration ...29
 
8. Kinematics of the particle in natural coordinate system. 30
 
1 .Natural coordinate system 30
 
2. Determination of the velocity 34
 
3. Determination of the acceleration ..35.
 
9. Some particular cases of particle’s motion 39
 
1 .Uniform changeable and uniform motion'of a particle... 39
 
2. Circular motion of a particle —.... -40
 
3. Harmonic motion of the particle ..40
 
4. Motion along a helix .42 -
 
5. Free-flight motion of a particle near the earth. .44'
 
Kinematics of the rigid body. Introduction ....46
 
10. Kinematics of the general rigid motion. Basic concepts. 46
 
1-0.1 .Determination of the rigid body position in the space. Parameters of the motion. Degrees of freedom 46
 
1. Three points method 47
 
2. Method of the movable frame of reference  48
 
3. Euler’s angles 50

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