Course guide of Mechanics and Waves (2671122)

It is recommended to have completed the subjects of Physics, Linear Algebra and Geometry, Mathematics, and Basic Experimental Techniques of the first academic year.

When utilizing AI tools for this course, students are expected to adopt an ethical and responsible approach. The recommendations outlined in the "Recommendations for the Use of Artificial Intelligence at the UGR" document, available at this link: https://ceprud.ugr.es/formacion-tic/inteligencia-artificial/recomendaciones-ia#contenido0, must be followed.

• Newtonian Mechanics: Conservation Laws, Nonintertial Reference Frames.
• Introduction to Analytical Mechanics.
• Central Forces.
• Oscillations.
• Rigid Body.
• Special Theory of Relativity.
• General Properties of Wave Phenomena.
• Mechanical Waves.
• Experimental Techniques in Mechanics and Waves.

• Achieve a more profound knowledge of the Newtonian Mechanics, initiated in the first academic year.
• Become familiar with the Lagrangian and Hamiltonian formulations.
• Acquire the knowledge corresponding to the mechanics of vibrations and waves.
• Understand the basic postulates of special relativity and apply them to the development of relativistic kinematics and dynamics.
• Learn to solve typical problems of Newtonian dynamics.
• Learn to study movements in non-inertial reference frames.
• Know how to choose appropriate reference frames for each problem.
• Know how to formulate problems in the appropriate coordinate system.
• Understand the fictitious nature of the forces of inertia.
• Understand the degrees of freedom in the movement of a rigid body.
• Know how to calculate moments of inertia of a rigid body.
• Correctly apply the equations of motion of a rigid body and use conservation principles.
• Use Euler's equations.

• Chapter 1. Vector Calculus. Field Theory.
• Chapter 2. Newtonian Dynamics: Review
• Chapter 3. Motion in a Non-Inertial Reference Frame.
• Chapter 4. Dynamics Of Rigid Bodies.
• Chapter 5. Analytical Mechanics I: Lagrangian Mechanics.
• Chapter 6. Analytical Mechanics II: Hamiltonian Mechanics.
• Chapter 7. Central Forces.
• Chapter 8. Oscillations.
• Chapter 9. Coupled Oscillations.
• Chapter 10. Wave Phenomena and Mechanical Waves.
• Chapter 11. Introduction to Special Relativity.

In addition to the list of problems proposed for each chapter, there is a catalog of laboratory experiments to be carried out in the Mechanics laboratory of the Department of Applied Physics (http://fisicaaplicada.ugr.es/pages/docencia/mecanica):

• Experiment 1. Observation of Streamlines.
• Experiment 2. Foucault Pendulum.
• Experiments 3-4. Motion Relative to Rotational Frames.
• Experiments 5-6. Rotational Motion, Moment of Inertia and Steiner’s Theorem (2).
• Experiments 7-8. Torsional Pendulum, Moment of Inertia and Steiner's Theorem
• (2).
• Experiment 9. Dynamics of the Rigid Solid. Gyroscope.
• Experiment 10. The Brachistochrone and the Tautochrone.
• Experiment 11. Balance of Objects under Uniform Rotation.
• Experiments 12-13. Study of the Oscillatory Motion (2).
• Experiment 14. Study of Motion under Central Forces.
• Experiment 15. Mechanical Rutherford Scattering.
• Experiments 16-17. Coupled Oscillations (2).
• Experiment 18. Interferences with Ultrasound Waves.
• Experiment 19. Standing Waves on a String.
• Experiment 20. Standing Waves on a Wire.
• Experiment 21. Doppler Effect with Ultrasound Waves.
• Experiment 22. Quincke's Interference Tube.

Additional experiments

• Experiment 23. Gyroscopic Precession Observed from a Rotating Planet Scale Model.
• Experiment 24. Study of the Double Physical Pendulum.
• Experiment 25. Mechanical Waves at Borders.

• Classical dynamics of particles and systems / S.T. Thornton and J.B. Marion.
• Classical mechanics / H. Goldstein, C. Poole and J. Safko.
• Mecánica y ondas para fisicxs sin pretensiones / M.A. Rodríguez Valverde.
• Classical mechanics / J.R. Taylor.
• The physics of vibrations and waves / H. J. Pain.
• Schaum's outline of theory and problems of theoretical mechanics with an introduction to Lagrange's equations and Hamiltonian theory / Murray R. Spiegel.
• 101 problemas de mecánica teórica / A. Moncho Jordá.

• Mechanics / K.R. Symon.
• Mechanics [electronic resource] / L.D. Landau and E.M. Lifshitz; translated from the Russian by J.B. Sykes and J.S. Bell.
• Classical Dynamics: A Contemporary Approach / J. V. José and E.J. Saletan,
• Newtonian Mechanics (M.I.T. Introductory Physics Series) / A.P. French.
• The Feynman lectures on physics / R. Feynman, R. Leighton and M. Sands.
• Physics / M. Alonso and E.J. Finn.
• The classical theory of fields / L. D. Landau and E. M. Lifshitz; translated from the Russian by Morton Hamermesh.
• Classical mechanics simulations: the consortium for upper level physics software.
• Classical Mechanics with Maple [electronic resource] / Ronald L. Greene.
• Vibrations and waves (M.I.T. Introductory Physics Series) / A.P. French.
• Theory and Problems of Lagrangian Dynamics / D.A. Wells.
• Dinámica clásica / A. Fernández Rañada.
• Ondas: teoría y problemas / E. Gaite Domínguez.
• Problemas resueltos de mecánica del punto y de sistemas de puntos / H. Lumbroso.
• Problemas de física / E. Gullón de Senespleda and M. López Rodríguez.
• Theory and Problems of Modern Physics / R. Gautreau and W. Savin.
• Special relativity (M.I.T. Introductory Physics Series) / A.P. French.
• 100 Solved Problems in Classical Physics / A.A. Kamal.

ADMINISTRATIVE RESOURCES

https://secretariageneral.ugr.es/sites/webugr/secretariageneral/public/inline-files/examenes.pdf
https://grados.ugr.es/fisica/docencia
https://www.ugr.es/~cdocmat/normas_permanencia.pdf

ACADEMIC RESOURCES

http://prado.ugr.es
https://fisicaaplicada.ugr.es/docencia/profesorado

https://grados.ugr.es/fisica/docencia/plan-estudios/mecanica-y-ondas-anual

• MD01. Theoretical classes

CONTINUOUS ASSESSMENT will be carried out through informal follow-up controls in class, a written test at the end of the first semester and a final knowledge test, with theoretical-practical questions and problems.

Should a student obtain a minimum grade of 4 or higher (out of a total of 10) on the written exam at the end of the first semester, they may be exempted from the corresponding subject matter in the final exam of the ordinary examination period. In this case, for the partial exam grade to be averaged, it will also be essential to obtain a minimum grade of 4 (out of 10) on the part of the final exam that is taken. If, on the other hand, the full final exam is taken, the partial exam grade is annulled, and the final grade will be based solely on the full final exam.

The resolution of the short written tests and the participation, preparation and exhibition of works will also be conveniently valued. In the case of continuous assessment, attendance at theoretical and problem classes is voluntary, but attendance at all practical laboratory sessions and delivery of all technical reports are mandatory. In addition to the submission of lab reports, individual interviews with students will be conducted at the end of each semester. In the event of an unexcused absence from practical sessions by the student, they will be assessed in a similar manner to students opting for the single final evaluation.

In CONTINUOUS ASSESSMENT the final grade will respond to the following scale:

Partial and final written tests on knowledge: 65%.

Completion and delivery of mandatory laboratory reports: 20%.

Short written tests. Preparation and exhibition of works. Class participation: 15%.

To pass the subject, it is necessary to have at least a score equal to or greater than 5 (out of 10) both in the average of the knowledge tests and in the average of the laboratory part. These parts are not compensable.

Assessment Due to Incidents: Students who are unable to attend final assessment exams (ordinary, extraordinary and single final) or officially scheduled evaluations outlined in the Course Guide may request special assessment due to extenuating circumstances. This is permissible under the conditions specified in Article 9 of the University of Granada's Regulations on Student Assessment and Grading, and must follow the procedure detailed therein.

The final grade will respond to the following scale:

Written knowledge test: 80%.

Individual completion and delivery of the report of ONE laboratory experiment proposed by the teacher: 20%. Prior agreement with the student, the grade of laboratory part will be saved in the case of having passed them in the ORDINARY call.

To pass the subject, it is necessary to have at least a score equal to or greater than 5 (out of 10) both in the knowledge test and in the laboratory practices. These parts are not compensable.

In accordance with the UGR's Regulations on Student Assessment and Grading, a single final assessment is available for students who are unable to participate in the continuous assessment method due to any of the reasons stipulated in Article 8. To opt for this single final assessment, students must submit a request via the electronic portal within the first two weeks of the course's instruction, or within two weeks following their enrollment if it occurs later. Exceptions may be made for overriding unforeseen circumstances that arise after these initial periods. The request must clearly state and provide evidence for the reasons preventing their participation in the continuous assessment system.

The evaluation will consist of:

Written test based on solving theoretical-numerical problems of the entire program, set on the same day and time and carried out in the same classrooms as the written test for continuous assessment (ordinary call) as for the extraordinary call. This test has a weight of 80%.

Practical laboratory test based on the individual completion of ONE laboratory experiment of the practical syllabus in the Mechanics laboratory and the preparation of the corresponding complete written report in situ. This test is scheduled on the same day, but in a different shift than the written test of the ordinary and extraordinary calls. This test has a weight of 20%.

To pass the subject, it is necessary to have at least a score equal to or greater than 5 (out of 10) both in the knowledge test and in the laboratory part. These parts are not compensable.

The students who resort to the Special Call mentioned in article 21 of the "Rules for Evaluation and Qualification of UGR students", will take a theoretical knowledge and problem-solving exam. If they also had to pass the tests corresponding to the laboratory part, they would have to take a practical exam in the laboratory. The weight of each contribution to the final mark is the same as that indicated for the single evaluation.

Students with Specific Educational Support Needs (SESN)
Following the recommendations from the CRUE and the UGR's Secretariat for Inclusion and Diversity, the systems for acquiring and assessing competencies outlined in this teaching guide will be applied in accordance with the principle of universal design. This approach aims to facilitate learning and the demonstration of knowledge, aligning with the needs and functional diversity of the student body. Teaching methodology and assessment will be adapted for students with SESN, in line with Article 11 of the UGR's Regulations on Student Assessment and Grading, published in the Official Bulletin of the UGR No. 112, dated November 9, 2016.

UGR Inclusion and Diversity
For students with disabilities or other SESN, the tutoring system must be adapted to their needs, in accordance with the UGR's Inclusion Unit recommendations. Departments and Centers must establish appropriate measures to ensure that tutoring sessions are held in accessible locations. Furthermore, faculty may request support from the University's competent unit when special methodological adaptations are required.

Regarding Laboratory Experiments
At the start of the course, students will receive information regarding the Safety Regulations and the proper conduct of practical sessions. This document will be available on the course's PRADO platform. This document is mandatory reading and must be strictly adhered to during practical sessions. Non-compliance by the student exempts the supervising lecturer and the department where the practicals are conducted from any responsibility.

Información de interés para estudiantado con discapacidad y/o Necesidades Específicas de Apoyo Educativo (NEAE): Gestión de servicios y apoyos (https://ve.ugr.es/servicios/atencion-social/estudiantes-con-discapacidad).

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