Engineering dynamics: a primer
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
New York, NY [u.a.]
Springer
2001
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| Subjects: | |
| Online Access: | Publisher description Table of contents only Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 193 - 198 |
| Physical Description: | XVI, 203 S. graph. Darst. |
| ISBN: | 0387951458 |
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Record in the Search Index
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| adam_text | PREFACE VII ELEMENTARY PARTICLE DYNAMICS 1 1.1 KINEMATICS OF A PARTICLE
1 1.2 A CIRCULAR MOTION 3 1.3 RECTILINEAR MOTIONS 4 1.3.1 GIVEN
ACCELERATION AS A FUNCTION OF TIME 5 1.3.2 GIVEN ACCELERATION AS A
FUNCTION OF SPEED 5 1.3.3 GIVEN ACCELERATION AS A FUNCTION OF PLACEMENT
... 5 1.4 KINETICS OF A PARTICLE 6 1.4.1 ACTION AND REACTION 6 1.4.2 THE
FOUR STEPS 6 1.5 A PARTICLE UNDER THE INFLUENCE OF GRAVITY 7 1.5.1
KINEMATICS 7 1.5.2 FORCES 7 1.5.3 BALANCE LAW 8 1.5.4 ANALYSIS 8 1.6
SUMMARY 8 1.7 EXERCISES 9 PARTICLES AND CYLINDRICAL POLAR COORDINATES 11
2.1 THE CYLINDRICAL POLAR COORDINATE SYSTEM 11 2.2 VELOCITY AND
ACCELERATION VECTORS 13 2.2.1 COMMON ERRORS 13 2.3 KINETICS OF A
PARTICLE 14 2.4 THE PLANAR PENDULUM 14 2.4.1 KINEMATICS 15 2.4.2 FORCES
15 2.4.3 BALANCE LAW 16 2.4.4 ANALYSIS 16 2.5 SUMMARY 16 2.6 EXERCISES
17 PARTICLES AND SPACE CURVES 19 3.1 THE SERRET-FRENET TRIAD 19 3.2 THE
SERRET-PRENET FORMULAE 22 3.3 EXAMPLES OF SPACE CURVES 23 3.3.1 A CURVE
ON A PLANE 23 3.3.2 A SPACE CURVE PARAMETRIZED BY X 26 3.3.3 A CIRCLE ON
A PLANE 27 3.3.4 A CIRCULAR HELIX 29 3.4 APPLICATION TO PARTICLE
MECHANICS 31 3.5 A PARTICLE MOVING ON A FIXED CURVE UNDER GRAVITY . . .
. 33 3.5.1 KINEMATICS 33 3.5.2 FORCES 34 3.5.3 BALANCE LAW 35 3.5.4
ANALYSIS 35 3.6 SUMMARY 36 3.7 EXERCISES 37 FRICTION FORCES AND SPRING
FORCES 41 4.1 AN EXPERIMENT ON FRICTION 41 4.2 STATIC AND DYNAMIC
COULOMB FRICTION FORCES 43 4.2.1 A PARTICLE ON A SURFACE : 44 4.2.2 A
PARTICLE ON A SPACE CURVE 45 4.3 SOME COMMENTS ON FRICTION FORCES 46 4.4
A PARTICLE ON A ROUGH MOVING PLANE 47 4.5 HOOKE S LAW AND LINEAR SPRINGS
48 4.6 A PARTICLE ON A ROUGH SPINNING CONE 50 4.6.1 KINEMATICS 51 4.6.2
FORCES 51 4.6.3 BALANCE LAW 52 4.6.4 ANALYSIS 52 4.7 SUMMARY 53 4.8
EXERCISES 54 POWER, WORK, AND ENERGY 57 5.1 THE POWER OF A FORCE 57 5.2
THE WORK-ENERGY THEOREM 59 5.3 CONSERVATIVE FORCES 60 5.4 EXAMPLES OF
CONSERVATIVE FORCES 61 5.4.1 CONSTANT FORCES 61 5.4.2 SPRING FORCES 62
5.5 ENERGY CONSERVATION 63 5.6 A PARTICLE MOVING ON A ROUGH CURVE 65
5.6.1 KINEMATICS 66 5.6.2 FORCES 66 5.6.3 WORK DONE BY FRICTION 66 5.6.4
THE SMOOTH CURVE 67 5.7 FURTHER EXAMPLES OF ENERGY CONSERVATION 68 5.7.1
A PARTICLE IN A CONSERVATIVE FORCE FIELD 68 5.7.2 A PARTICLE ON A FIXED
SMOOTH SURFACE 68 5.7.3 THE PLANAR PENDULUM 69 5.8 SUMMARY 69 5.9
EXERCISES 70 MOMENTA, IMPULSES, AND COLLISIONS 73 6.1 LINEAR MOMENTUM
AND ITS CONSERVATION 73 6.1.1 LINEAR IMPULSE AND LINEAR MOMENTUM 73
6.1.2 CONSERVATION OF LINEAR MOMENTUM 74 6.1.3 EXAMPLE 74 6.2 ANGULAR
MOMENTUM AND ITS CONSERVATION 74 6.2.1 ANGULAR MOMENTUM THEOREM 75 6.2.2
CONSERVATION OF ANGULAR MOMENTUM 75 6.2.3 CENTRAL FORCE PROBLEMS 76
6.2.4 KEPLER S PROBLEM 76 6.2.5 A PARTICLE ON A SMOOTH CONE 77 6.3
COLLISION OF PARTICLES 78 6.3.1 THE MODEL AND IMPACT STAGES 79 6.3.2
LINEAR IMPULSES DURING IMPACT 80 6.3.3 LINEAR MOMENTA 81 6.3.4 THE
POSTIMPACT VELOCITIES 82 6.3.5 KINETIC ENERGY AND THE COEFFICIENT OF
RESTITUTION . . 83 6.3.6 NEGATIVE VALUES OF THE COEFFICIENT OF
RESTITUTION . . 84 6.4 IMPACT OF A PARTICLE AND A MASSIVE OBJECT 84 6.5
COLLISION OF TWO SPHERES 85 6.6 SUMMARY 86 6.7 EXERCISES 88 SYSTEMS OF
PARTICLES 91 7.1 PRELIMINARIES 91 7.2 CENTER OF MASS, MOMENTA, AND
KINETIC ENERGY 92 7.2.1 THE CENTER OF MASS 92 7.2.2 LINEAR MOMENTUM 93
7.2.3 ANGULAR MOMENTUM 93 7.2.4 KINETIC ENERGY 94 7.2.5 KINETICS OF
SYSTEMS OF PAXTICLES 95 7.3 CONSERVATION OF LINEAR MOMENTUM 95 7.3.1 THE
CART AND THE PENDULUM 95 7.4 CONSERVATION OF ANGULAR MOMENTUM 98 7.4.1
FOUR WHIRLING PARTICLES 100 7.5 WORK, ENERGY, AND CONSERVATIVE FORCES
102 7.5.1 THE CART AND THE PENDULUM 102 7.5.2 FOUR WHIRLING PARTICLES
103 7.5.3 COMMENT 104 7.6 SUMMARY 104 7.7 EXERCISES 105 PLANAR
KINEMATICS OF RIGID BODIES 107 8.1 THE MOTION OF A RIGID BODY 107 8.1.1
GENERAL CONSIDERATIONS 107 8.1.2 A RIGID BODY 108 8.1.3 ANGULAR VELOCITY
AND ACCELERATION VECTORS 110 8.1.4 FIXED-AXIS ROTATION ILL 8.2
KINEMATICAL RELATIONS AND A COROTATIONAL BASIS 112 8.2.1 THE
COROTATIONAL BASIS 112 8.2.2 THE COROTATIONAL BASIS FOR THE FIXED-AXIS
CASE . . . 113 8.2.3 A PARTICLE MOVING ON A RIGID BODY 115 8.3
MECHANISMS 116 8.4 CENTER OF MASS AND LINEAR MOMENTUM 118 8.4.1 THE
CENTER OF MASS 119 8.4.2 THE LINEAR MOMENTUM 120 8.5 KINEMATICS OF
ROLLING AND SLIDING 121 8.6 KINEMATICS OF A ROLLING CIRCULAR DISK 122
8.6.1 A COMMON ERROR 124 8.6.2 THE SLIDING DISK 125 8.7 ANGULAR MOMENTA
125 8.8 INERTIA TENSORS 126 8.8.1 WHERE THE INERTIA TENSOR COMES FROM
127 8.8.2 ANGULAR MOMENTUM AND THE INERTIA TENSOR 128 8.8.3 A CIRCULAR
CYLINDER 129 8.8.4 THE PARALLEL-AXIS THEOREM 130 8.9 SOME COMMENTS ON
INTEGRALS AND DERIVATIVES 130 8.10 SUMMARY 132 8.11 EXERCISES 133
KINETICS OF A RIGID BODY 135 9.1 BALANCE LAWS FOR A RIGID BODY 135 9.1.1
RESULTANT FORCES AND MOMENTS 136 9.1.2 EULER S LAWS 137 9.1.3 THE
FIXED-AXIS OF ROTATION CASE 138 9.1.4 THE FOUR STEPS 139 9.2 WORK-ENERGY
THEOREM AND ENERGY CONSERVATION 139 9.2.1 KOENIG S DECOMPOSITION 140
9.2.2 THE WORK-ENERGY THEOREM 141 9.2.3 AN ALTERNATIVE FORM OF THE
WORK-ENERGY THEOREM . 142 9.3 PURELY TRANSLATIONAL MOTION OF A RIGID
BODY 142 9.3.1 THE OVERTURNING CART 143 9.4 A RIGID BODY WITH A FIXED
POINT 147 9.4.1 KINEMATICS 148 9.4.2 FORCES AND MOMENTS 149 9.4.3
BALANCE LAWS 150 9.4.4 ANALYSIS 150 9.5 ROLLING AND SLIDING RIGID BODIES
151 9.5.1 FRICTION 152 9.5.2 ENERGY CONSIDERATIONS 153 9.6 EXAMPLES OF
ROLLING AND SLIDING RIGID BODIES 153 9.6.1 GENERAL CONSIDERATIONS 153
9.6.2 THE ROLLING CASE 155 9.6.3 THE STATIC FRICTION CRITERION AND
ROLLING 156 9.6.4 THE SLIDING CASE 157 9.7 AN IMBALANCED ROTOR 157 9.7.1
KINEMATICS 158 9.7.2 FORCES AND MOMENTS 159 9.7.3 BALANCE LAWS 160 9.7.4
ANALYSIS 160 9.8 SUMMARY 160 9.9 EXERCISES 162 10 SYSTEMS OF PARTICLES
AND RIGID BODIES 165 10.1 A SYSTEM OF PARTICLES AND RIGID BODIES 165
10.1.1 MOMENTA AND KINETIC ENERGY 166 10.1.2 IMPULSES, MOMENTA, AND
BALANCE LAWS 167 10.1.3 CONSERVATIONS 169 10.2 AN EXAMPLE OF TWO RIGID
BODIES 171 10.2.1 KINEMATICS 171 10.2.2 FORCES AND MOMENTS 172 10.2.3
BALANCE LAWS AND ANALYSIS 173 10.2.4 A RELATED EXAMPLE 174 10.3 IMPACT
OF A PARTICLE AND A RIGID BODY 175 10.4 BEYOND THIS PRIMER 176 10.5
SUMMARY 177 10.6 EXERCISES PRELIMINARIES ON VECTORS AND CALCULUS 181 A.I
VECTOR NOTATION 181 A.2 DOT AND CROSS PRODUCTS 182 A.3 DIFFERENTIATION
OF VECTORS 183 A.4 A UBIQUITOUS EXAMPLE OF VECTOR DIFFERENTIATION 183
A.5 ORDINARY DIFFERENTIAL EQUATIONS 184 A.5.1 THE PLANAR PENDULUM 185
A.5.2 THE PROJECTILE PROBLEM 185 A.5.3 THE HARMONIC OSCILLATOR 185 A.5.4
A PARTICLE IN A WHIRLING TUBE 186 WEEKLY COURSE CONTENT AND NOTATION IN
OTHER TEXTS 187 B.I WEEKLY COURSE CONTENT 187 B.2 NOTATION IN OTHER
TEXTS 191 REFERENCES 193 INDEX 199
|
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| isbn | 0387951458 |
| language | English |
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| spelling | O'Reilly, Oliver M. Verfasser aut Engineering dynamics a primer Oliver M. O'Reilly New York, NY [u.a.] Springer 2001 XVI, 203 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 193 - 198 Dynamics Dynamik (DE-588)4013384-9 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Dynamik (DE-588)4013384-9 s DE-604 text/html http://www.loc.gov/catdir/enhancements/fy0816/00045032-d.html Publisher description text/html http://catdir.loc.gov/catdir/enhancements/fy0816/00045032-t.html Table of contents only SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009323536&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | O'Reilly, Oliver M. Engineering dynamics a primer Dynamics Dynamik (DE-588)4013384-9 gnd |
| subject_GND | (DE-588)4013384-9 (DE-588)4123623-3 |
| title | Engineering dynamics a primer |
| title_auth | Engineering dynamics a primer |
| title_exact_search | Engineering dynamics a primer |
| title_full | Engineering dynamics a primer Oliver M. O'Reilly |
| title_fullStr | Engineering dynamics a primer Oliver M. O'Reilly |
| title_full_unstemmed | Engineering dynamics a primer Oliver M. O'Reilly |
| title_short | Engineering dynamics |
| title_sort | engineering dynamics a primer |
| title_sub | a primer |
| topic | Dynamics Dynamik (DE-588)4013384-9 gnd |
| topic_facet | Dynamics Dynamik Lehrbuch |
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