Checking date: 16/05/2019


Course: 2019/2020

Mechanics and relativity
(18307)
Bachelor in Engineering Physics (Plan: 434 - Estudio: 363)


Coordinating teacher: MARTIN SOLIS, JOSE RAMON

Department assigned to the subject: Physics Department

Type: Compulsory
ECTS Credits: 6.0 ECTS

Course:
Semester:




CB1. Students have demonstrated knowledge and understanding in a field of study that builds upon their general secondary education, and is typically at a level that, whilst supported by advanced textbooks, includes some aspects that will be informed by knowledge of the forefront of their field of study CB2. Students can apply their knowledge and understanding in a manner that indicates a professional approach to their work or vocation, and have competences typically demonstrated through devising and sustaining arguments and solving problems within their field of study CB3. Students have the ability to gather and interpret relevant data (usually within their field of study) to inform judgments that include reflection on relevant social, scientific or ethical issues CB4. Students can communicate information, ideas, problems and solutions to both specialist and non-specialist audiences CB5. Students have developed those learning skills that are necessary for them to continue to undertake further study with a high degree of autonomy CG1. Analyze and synthesize basic problems related to physics and engineering, solve them and communicate them efficiently. CG2. Learn new methods and technologies from basic scientific and technical knowledge, and being able to adapt to new situations. CG3. Solve problems with initiative, decision making, creativity, and communicate and transmit knowledge, skills and abilities, understanding the ethical, social and professional responsibility of the engineering activity. Capacity for leadership, innovation and entrepreneurial spirit. CG5. Use the theoretical and practical knowledge acquired in the definition, approach and resolution of problems in the framework of the exercise of their profession. CE5. Understand and handle the basic concepts of the general laws of mechanics, thermodynamics, fields and waves and electromagnetism and apply them to the resolution of engineering problems. CE16. Understand and handle the physical principles of Newtonian, Lagrangian and Hamiltonian mechanics and their applications in the different branches of physics and engineering, as well as the basic principles of the special theory of relativity. CT1. Work in multidisciplinary and international teams as well as organize and plan work making the right decisions based on available information, gathering and interpreting relevant data to make judgments and critical thinking within the area of study. RA1. To have acquired sufficient knowledge and proved a sufficiently deep comprehension of the basic principles, both theoretical and practical, and  methodology of the more important fields in science and technology as to be able to work successfully in them; RA2. To be able, using arguments, strategies and procedures developed by themselves, to apply their knowledge and abilities to the successful solution of complex technological problems that require creating and innovative thinking; RA3. To be able to search for, collect and interpret relevant information and data to back up their conclusions including, whenever needed, the consideration of any social, scientific and ethical aspects relevant in their field of study; RA6. To be aware of their own shortcomings and formative needs in their field of specialty, and to be able to plan and organize their own training with a high degree of independence.
Description of contents: programme
1. Newtonian Mechanics for a particle and a system of particles 2. Non-inertial reference systems. 3. Introduction to Analytical Mechanics. Generalized displacement and forces. Generalized coordinates. Virtual work and constraints. Principle of virtual work. D¿Alambert Principle. 4. Lagrangian Mechanics. Lagrangian of a system. Lagrange equations for conservative and non-conservative forces. Cyclic coordinates and constants of motion. Conservation theorems. 5. Hamiltonian Mechanics. Hamiltonian of a system. Hamilton¿s variational principle. Relationship with Lagrangian mechanics. 6. Rigid body. Theorems of Chasles and Koening. Center-of mass. Moment of inertia. Theorem of Pappus-Guldinos. Theorem of Steiner. Inertial tensor. Angular momentun and rotation. Ellipsoid of inertia. Principal axes. Equation of motion of the rigid body. Euler¿s angles. Gyroscopic motion 7. Introduction to the Special Theory of Relativity. Einstein¿s postulates. Lorenz transformations. Time dilation. Length contraction. Simultaneity. Linear momentum, forces and energy in special relativity. Mass-energy equivalence.
Learning activities and methodology
AF1. THEORETICAL-PRACTICAL CLASSES. Knowledge and concepts students mustacquire. Receive course notes and will have basic reference texts.Students partake in exercises to resolve practical problems AF2. TUTORING SESSIONS. Individualized attendance (individual tutoring) or in-group (group tutoring) for students with a teacher.Subjects with 6 credits have 4 hours of tutoring/ 100% on- site attendance. AF3. STUDENT INDIVIDUAL WORK OR GROUP WORK.Subjects with 6 credits have 98 hours/0% on-site. AF8. WORKSHOPS AND LABORATORY SESSIONS. Subjects with 3 credits have 4 hours with 100% on-site instruction. Subjects with 6 credits have 8 hours/100% on-site instruction. AF9. FINAL EXAM. Global assessment of knowledge, skills and capacities acquired throughout the course. It entails 4 hours/100% on-site AF8. WORKSHOPS AND LABORATORY SESSIONS. Subjects with 3 credits have 4 hours with 100% on-site instruction. Subjects with 6 credits have 8 hours/100% on-site instruction. MD1. THEORY CLASS. Classroom presentations by the teacher with IT and audiovisual support in which the subject`s main concepts are developed, while providing material and bibliography to complement student learning MD2. PRACTICAL CLASS. Resolution of practical cases and problem, posed by the teacher, and carried out individually or in a group MD3. TUTORING SESSIONS. Individualized attendance (individual tutoring sessions) or in-group (group tutoring sessions) for students with teacher as tutor. Subjects with 6 credits have 4 hours of tutoring/100% on-site. MD6. LABORATORY PRACTICAL SESSIONS. Applied/experimental learning/teaching in workshops and laboratories under the tutor's supervision.
Assessment System
  • % end-of-term-examination 60
  • % of continuous assessment (assigments, laboratory, practicals...) 40

The course syllabus may change due academic events or other reasons.