Vibrations and waves:
"Vibrations and Waves is based on an introductory course given regularly by the author. The text provides the student with a thorough grounding in the theory of vibrations and waves."--BOOK JACKET.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester
Wiley
2009
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | The Manchester physics series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "Vibrations and Waves is based on an introductory course given regularly by the author. The text provides the student with a thorough grounding in the theory of vibrations and waves."--BOOK JACKET. |
| Beschreibung: | XIV, 228 S. graph. Darst. |
| ISBN: | 9780470011881 9780470011898 |
Internformat
MARC
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| 245 | 1 | 0 | |a Vibrations and waves |c George C. King |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Chichester |b Wiley |c 2009 | |
| 300 | |a XIV, 228 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a The Manchester physics series | |
| 520 | 1 | |a "Vibrations and Waves is based on an introductory course given regularly by the author. The text provides the student with a thorough grounding in the theory of vibrations and waves."--BOOK JACKET. | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Vibration | |
| 650 | 4 | |a Waves | |
| 650 | 4 | |a Vibration |x Mathematical models | |
| 650 | 4 | |a Waves |x Mathematical models | |
| 650 | 0 | 7 | |a Schwingung |0 (DE-588)4053999-4 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804138666702929920 |
|---|---|
| adam_text | Contents
Editors
Preface
to the Manchester Physics Series
xi
Author s Preface
xiii
1
SIMPLE HARMONIC MOTION
1
1.1
Physical Characteristics of Simple Harmonic Oscillators
1
1.2
A Mass on a Spring
2
1.2.1
A mass on a horizontal spring
2
1.2.2
A mass on a vertical spring
5
1.2.3
Displacement, velocity and acceleration in simple
harmonic motion
5
1.2.4
General solutions for simple harmonic motion and the
phase angle
φ
7
1.2.5
The energy of a simple harmonic oscillator
10
1.2.6
The physics of small vibrations
12
1.3
The Pendulum
17
1.3.1
The simple pendulum
17
1.3.2
The energy of a simple pendulum
19
1.3.3
The physical pendulum
22
1.3.4
Numerical solution of simple harmonic motion3
24
1.4
Oscillations in Electrical Circuits: Similarities in Physics
27
1.4.1
The
L C
circuit
27
1.4.2
Similarities in physics
29
PROBLEMS
1 29
2
THE DAMPED HARMONIC OSCILLATOR
33
2.1
Physical Characteristics of the Damped Harmonic Oscillator
33
2.2
The Equation of Motion for a Damped Harmonic Oscillator
34
2.2.1
Light damping
35
2.2.2
Heavy damping
37
2.2.3
Critical damping
38
2.3
Rate of Energy Loss in a Damped Harmonic Oscillator
41
2.3.1
The quality factor
Q
oî a
damped harmonic oscillator
43
2.4
Damped Electrical Oscillations
46
PROBLEMS
2 47
viii Contents
3
FORCED
OSCILLATIONS
49
3.1
Physical Characteristics of Forced Harmonic Motion
50
3.2
The Equation of Motion of a Forced Harmonic Oscillator
50
3.2.1
Undamped forced oscillations
50
3.2.2
Forced oscillations with damping
54
3.3
Power Absorbed During Forced Oscillations
60
3.4
Resonance in Electrical Circuits
64
3.5
Transient Phenomena
66
3.6
The Complex Representation of Oscillatory Motion
68
3.6.1
Complex numbers
68
3.6.2
The use of complex numbers to represent physical
quantities
71
3.6.3
Use of the complex representation for forced oscillations
with damping
74
PROBLEMS
3 74
4
COUPLED OSCILLATORS
77
4.1
Physical Characteristics of Coupled Oscillators
77
4.2
Normal Modes of Oscillation
78
4.3
Superposition of Normal Modes
81
4.4
Oscillating Masses Coupled by Springs
87
4.5
Forced Oscillations of Coupled Oscillators
93
4.6
Transverse Oscillations
96
PROBLEMS
4 99
5
TRAVELLING WAVES
105
5.1
Physical Characteristics of Waves
106
5.2
Travelling Waves
106
5.2.1
Travelling sinusoidal waves
109
5.3
The Wave Equation
112
5.4
The Equation of a Vibrating String
114
5.5
The Energy in a Wave
116
5.6
The Transport of Energy by a Wave
119
5.7
Waves at Discontinuities
121
5.8
Waves in Two and Three Dimensions
126
5.8.1
Waves of circular or spherical symmetry
130
PROBLEMS
5 133
6
STANDING WAVES
137
6.1
Standing Waves on a String
137
6.2
Standing Waves as the Superposition of Two Travelling Waves
144
6.3
The Energy in a Standing Wave
147
6.4
Standing Waves as Normal Modes of a Vibrating String
149
6.4.1
The superposition principle
149
Contents ix
6.4.2
The superposition of normal modes
150
6.4.3
The amplitudes of normal modes and Fourier analysis
153
6.4.4
The energy of vibration of a string
156
PROBLEMS
6 158
7
INTERFERENCE AND DIFFRACTION OF WAVES
161
7.1
Interference and Huygen s Principle
161
7.1.1
Young s double-slit experiment
163
7.1.2
Michelson spectral interferometer
170
7.2
Diffraction
172
7.2.1
Diffraction at a single slit
172
7.2.2
Circular apertures and angular resolving power
177
7.2.3
Double slits of finite width
179
PROBLEMS
7 181
8
THE DISPERSION OF WAVES
183
8.1
The Superposition of Waves in Non-Dispersive Media
183
8.1.1
Beats
184
8.1.2
Amplitude modulation of a radio wave
186
8.2
The Dispersion of Waves
187
8.2.1
Phase and group velocities
188
8.3
The Dispersion Relation
192
8.4
Wave Packets
195
8.4.1
Formation of a wave packet
197
PROBLEMS
8 201
APPENDIX: SOLUTIONS TO PROBLEMS
205
Index
223
|
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| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV035347568 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:49Z |
| institution | BVB |
| isbn | 9780470011881 9780470011898 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017151770 |
| oclc_num | 311310196 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-11 |
| owner_facet | DE-703 DE-20 DE-11 |
| physical | XIV, 228 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Wiley |
| record_format | marc |
| series2 | The Manchester physics series |
| spelling | King, George C. 1947- Verfasser (DE-588)138652740 aut Vibrations and waves George C. King 1. publ. Chichester Wiley 2009 XIV, 228 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The Manchester physics series "Vibrations and Waves is based on an introductory course given regularly by the author. The text provides the student with a thorough grounding in the theory of vibrations and waves."--BOOK JACKET. Mathematisches Modell Vibration Waves Vibration Mathematical models Waves Mathematical models Schwingung (DE-588)4053999-4 gnd rswk-swf Mechanische Welle (DE-588)7582225-8 gnd rswk-swf Schwingung (DE-588)4053999-4 s DE-604 Mechanische Welle (DE-588)7582225-8 s Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017151770&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | King, George C. 1947- Vibrations and waves Mathematisches Modell Vibration Waves Vibration Mathematical models Waves Mathematical models Schwingung (DE-588)4053999-4 gnd Mechanische Welle (DE-588)7582225-8 gnd |
| subject_GND | (DE-588)4053999-4 (DE-588)7582225-8 |
| title | Vibrations and waves |
| title_auth | Vibrations and waves |
| title_exact_search | Vibrations and waves |
| title_full | Vibrations and waves George C. King |
| title_fullStr | Vibrations and waves George C. King |
| title_full_unstemmed | Vibrations and waves George C. King |
| title_short | Vibrations and waves |
| title_sort | vibrations and waves |
| topic | Mathematisches Modell Vibration Waves Vibration Mathematical models Waves Mathematical models Schwingung (DE-588)4053999-4 gnd Mechanische Welle (DE-588)7582225-8 gnd |
| topic_facet | Mathematisches Modell Vibration Waves Vibration Mathematical models Waves Mathematical models Schwingung Mechanische Welle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017151770&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kinggeorgec vibrationsandwaves |