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Experiments and Video Analysis in Classical Mechanics 1st ed. 2017 [Kietas viršelis]

  • Formatas: Hardback, 191 pages, aukštis x plotis: 235x155 mm, weight: 4321 g, 4 Illustrations, black and white; XI, 191 p. 4 illus., 1 Hardback
  • Serija: Undergraduate Lecture Notes in Physics
  • Išleidimo metai: 03-Apr-2017
  • Leidėjas: Springer International Publishing AG
  • ISBN-10: 3319524062
  • ISBN-13: 9783319524061
  • Formatas: Hardback, 191 pages, aukštis x plotis: 235x155 mm, weight: 4321 g, 4 Illustrations, black and white; XI, 191 p. 4 illus., 1 Hardback
  • Serija: Undergraduate Lecture Notes in Physics
  • Išleidimo metai: 03-Apr-2017
  • Leidėjas: Springer International Publishing AG
  • ISBN-10: 3319524062
  • ISBN-13: 9783319524061
This book is an experimental physics textbook on classical mechanics focusing on the development of experimental skills by means of discussion of different aspects of the experimental setup and the assessment of common issues such as accuracy and graphical representation. The most important topics of an experimental physics course on mechanics are covered and the main concepts are explored in detail. Each chapter didactically connects the experiment and the theoretical models available to explain it. Real data from the proposed experiments are presented and a clear discussion over the theoretical models is given. Special attention is also dedicated to the experimental uncertainty of measurements and graphical representation of the results. In many of the experiments, the application of video analysis is proposed and compared with traditional methods.

1. Inertia by video analysis2. Acceleration of gravity3. Acceleration of gravity by video analysis4. Circular motion by video analysis5. Dynamics6. Pendulum7. Pendulum by video analysis8. Conical pendulum9. Pure rolling by video analysis10. Kinetic and rolling frictions by video analysis11. Horizontal launch and mechanical energy by video analysis12. Restitution coefficient by video analysis13. Bi-dimensional collisionAppendix I - The free software TrackerAppendix II - GraphicsAppendix III - Access to the videos discussed in this book 
1 Inertia by Video Analysis
1(12)
Introduction
1(1)
Experimental Development
2(2)
Analysis of the Experimental Data
4(3)
Collision and Scattering Angle of 18.4°
4(1)
Collision and Scattering Angle of 81.0°
5(2)
Discussion
7(4)
References
11(2)
2 Acceleration of Gravity
13(16)
Introduction
13(1)
Experimental Development
14(5)
Analysis of the Experimental Data
19(5)
Least-Squares Method
24(3)
References
27(2)
3 Acceleration of Gravity by Video Analysis
29(12)
Introduction
29(1)
Experimental Development
30(3)
Analysis of the Experimental Data
33(3)
The Air Resistance
36(3)
References
39(2)
4 Circular Motion by Video Analysis
41(14)
Introduction
41(4)
Experimental Development
45(1)
Analysis of the Experimental Data
46(7)
References
53(2)
5 Dynamics
55(14)
Introduction
55(1)
Experimental Development
55(2)
Analysis of the Experimental Data
57(3)
Dynamics: Model Neglecting the Pulley
60(2)
Dynamics: Model Considering the Pulley
62(3)
Mechanical Energy Conservation
65(2)
References
67(2)
6 Pendulum
69(14)
Introduction
69(3)
Experimental Development
72(2)
Analysis of the Experimental Data
74(2)
The Log-Log Graph
76(5)
References
81(2)
7 Pendulum by Video Analysis
83(10)
Introduction
83(2)
Experimental Development and Data Analysis
85(7)
References
92(1)
8 Conical Pendulum
93(8)
Introduction
93(2)
Experimental Development
95(3)
Analysis of the Experimental Data
98(1)
Optional: Uncertainty Estimation of the Tension's Measurement
99(1)
Reference
100(1)
9 Pure Rolling by Video Analysis
101(18)
Introduction
101(1)
Experimental Development
102(1)
Analysis of the Experimental Data
102(15)
Reference
117(2)
10 Kinetic and Rolling Frictions by Video Analysis
119(10)
Introduction
119(4)
Experimental Development
123(1)
Analysis of the Experimental Data
124(3)
Reference
127(2)
11 Horizontal Launch and Mechanical Energy by Video Analysis
129(14)
Introduction
129(1)
Experimental Development
130(1)
Analysis of the Experimental Data
131(2)
Mechanical Energy Conservation
133(4)
Criticism on the Experiment
137(1)
Video Analysis
137(5)
References
142(1)
12 Coefficient of Restitution by Video Analysis
143(12)
Introduction
143(1)
Experimental Development
144(2)
Analysis of the Experimental Data
146(7)
Reference
153(2)
13 Bi-Dimensional Collision
155(12)
Introduction
155(3)
Experimental Development
158(3)
Analysis of the Experimental Data
161(1)
Collision Between Two Identical Spheres
161(3)
Collision Between Two Different Spheres
164(2)
Reference
166(1)
Appendix A The Free Software Tracker 167(6)
Appendix B Graphs 173(10)
Appendix C Access to the Videos Discussed in this Book 183(2)
References 185(2)
Index 187
Prof. Dr. Vitor Luiz Bastos de Jesus graduated in Physics in 1993 at Universidade Federal Fluminense (Niterói - Brazil). He obtained a Masters degree in Physics in 1996 at the Brazilian Center for Research in Physics (CBPF), working on Nuclear Magnetic Resonance (NMR) applied to magnetic intermetallic systems. He obtained a PhD degree in atomic physics, in collaboration with the Van de Graaff Laboratory at Pontifķcia Universidade Católica do Rio de Janeiro (PUC-Rio - Brazil). He worked as a post-doctoral fellow at the Van de Graaff Laboratory from 2000 until 2002, and then traveled to Germany to work at the Max-Planck Institut für Kernphysik, Heidelberg, as a collaborator researcher until 2004. Since then he teaches at Instituto Federal de Educaēćo, Ciźncia e Tecnologia, Rio Janeiro (IFRJ), campus Nilópolis, Rio de Janeiro - Brazil, mainly in didactical laboratories of classical and modern physics, and keeps his research collaborations with various groups both in Brazil and abroad.He co-authored the textbook Introduēćo ą Fķsica do Estado Sólido (Introduction to Solid State Physics).