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) |
|
|
1 | (1) |
|
|
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) |
|
|
7 | (4) |
|
|
11 | (2) |
|
2 Acceleration of Gravity |
|
|
13 | (16) |
|
|
13 | (1) |
|
|
14 | (5) |
|
Analysis of the Experimental Data |
|
|
19 | (5) |
|
|
24 | (3) |
|
|
27 | (2) |
|
3 Acceleration of Gravity by Video Analysis |
|
|
29 | (12) |
|
|
29 | (1) |
|
|
30 | (3) |
|
Analysis of the Experimental Data |
|
|
33 | (3) |
|
|
36 | (3) |
|
|
39 | (2) |
|
4 Circular Motion by Video Analysis |
|
|
41 | (14) |
|
|
41 | (4) |
|
|
45 | (1) |
|
Analysis of the Experimental Data |
|
|
46 | (7) |
|
|
53 | (2) |
|
|
55 | (14) |
|
|
55 | (1) |
|
|
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) |
|
|
67 | (2) |
|
|
69 | (14) |
|
|
69 | (3) |
|
|
72 | (2) |
|
Analysis of the Experimental Data |
|
|
74 | (2) |
|
|
76 | (5) |
|
|
81 | (2) |
|
7 Pendulum by Video Analysis |
|
|
83 | (10) |
|
|
83 | (2) |
|
Experimental Development and Data Analysis |
|
|
85 | (7) |
|
|
92 | (1) |
|
|
93 | (8) |
|
|
93 | (2) |
|
|
95 | (3) |
|
Analysis of the Experimental Data |
|
|
98 | (1) |
|
Optional: Uncertainty Estimation of the Tension's Measurement |
|
|
99 | (1) |
|
|
100 | (1) |
|
9 Pure Rolling by Video Analysis |
|
|
101 | (18) |
|
|
101 | (1) |
|
|
102 | (1) |
|
Analysis of the Experimental Data |
|
|
102 | (15) |
|
|
117 | (2) |
|
10 Kinetic and Rolling Frictions by Video Analysis |
|
|
119 | (10) |
|
|
119 | (4) |
|
|
123 | (1) |
|
Analysis of the Experimental Data |
|
|
124 | (3) |
|
|
127 | (2) |
|
11 Horizontal Launch and Mechanical Energy by Video Analysis |
|
|
129 | (14) |
|
|
129 | (1) |
|
|
130 | (1) |
|
Analysis of the Experimental Data |
|
|
131 | (2) |
|
Mechanical Energy Conservation |
|
|
133 | (4) |
|
Criticism on the Experiment |
|
|
137 | (1) |
|
|
137 | (5) |
|
|
142 | (1) |
|
12 Coefficient of Restitution by Video Analysis |
|
|
143 | (12) |
|
|
143 | (1) |
|
|
144 | (2) |
|
Analysis of the Experimental Data |
|
|
146 | (7) |
|
|
153 | (2) |
|
13 Bi-Dimensional Collision |
|
|
155 | (12) |
|
|
155 | (3) |
|
|
158 | (3) |
|
Analysis of the Experimental Data |
|
|
161 | (1) |
|
Collision Between Two Identical Spheres |
|
|
161 | (3) |
|
Collision Between Two Different Spheres |
|
|
164 | (2) |
|
|
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).