Mechanics
Keywords |
Classification |
Keyword |
OFICIAL |
Physics |
Instance: 2023/2024 - 1S ![Requerida a integração com o Moodle Ícone do Moodle](/fcup/pt/imagens/MoodleIcon)
Cycles of Study/Courses
Teaching Staff - Responsibilities
Teaching language
Portuguese
Objectives
This course aims to present the concepts and the basic principles of Classic Mechanics, and relativity, with emphasis on understanding and application in the analysis of real world situations . Students should have the ability to manipulate fundamental concepts and knowi how to apply them to solve problems. Students will be motivated to consider the principles of Mechanics in other areas of knowledge and in technology. Particular attention will be paid to training in problem solving by familiarizing students with heuristics and modes of thinking of experienced physicists.
Learning outcomes and competences
Students should demonstrate good understanding of fundamental mechanical concepts (description of motion, mass, force, linear and angular momentum, energy) and relativity (relativity of space and time, space-time diagrams and relativistic momentum and energy) by correctly solving problems of direct application of these concepts, and by modeling and analysing, in terms of mechanics concepts, real world situations.
Working method
Presencial
Pre-requirements (prior knowledge) and co-requirements (common knowledge)
Basic trigonometry, basic vector calculus, basic derivative of a function, elementary geometry.
Program
Units; dimensions, dimensional analysis
1D movement, speed and acceleration; graphics
Integration. Euler's formula. 2D and 3D movements. Vectors
Freinet formulas: curvilinear movements
Newton's laws: discussion; interactions, contact forces, examples.
Circular and Harmonic Motion
Conservation Principles; work and energy
Movement in a field of forces and potential energy
Potential elastic and gravitational energy
Particle systems; Moment conservation and CM reference frame
Collisions in 1D and 2D. CM Referential; ineelastic coeficient
Variable mass systems.
Angular moment and Torque.
Collisions and angular momentum
Relative movement; Accelerated frmes
Rotating references, Centrifugal and Coriolis forces
Galileo's relativity; postulates of Relativity,
Simultaneity, expansion of times contraction of spaces
Lorentz transformations: tachyons
Moment and energy in Relativity
Mandatory literature
Marcelo Alonso;
Fisica. ISBN: 84-03-20990-8 Conjunto 3 vols.
Complementary Bibliography
Feynman Richard P.;
The Feynman lectures on physics (Peerless textbook. The best for aspiring physicists. Not easy)
Raymond A. Serway;
Principles of physics. ISBN: 0-534-46479-3
Paul A. Tipler;
Physics for scientists and engineers. ISBN: 9780716743897
Ford Kenneth W.;
Classical and modern physics. ISBN: 0-536-00723-3 Vol. 1 (Veru Lucid writing)
António Jorge Silvestre e Paulo Ivo Cortez Teixeira; Mecânica: uma introdução, Edições Colibri/Instituto Politécnico de Lisboa, 2013. ISBN: 978-989-689-295-1
Comments from the literature
The corse textbook is Physics, by Marcelo Alonso and Edward Finn. The topic Mechanics is addressed in numerous books available at the Library of the Faculty of Sciences. In addition to the books indicated as complementary, the student can opt for others that suit him best.
Teaching methods and learning activities
Theory classes (with oriented readings), problem solving classes.
Evaluation Type
Distributed evaluation with final exam
Assessment Components
designation |
Weight (%) |
Trabalho escrito |
15,00 |
Exame |
85,00 |
Total: |
100,00 |
Amount of time allocated to each course unit
designation |
Time (hours) |
Estudo autónomo |
99,00 |
Frequência das aulas |
63,00 |
Total: |
162,00 |
Eligibility for exams
Students who are unable to attend TP classes will not be excluded of "frequência".
Calculation formula of final grade
The assessment has two components:
1. Problems to be solved in groups in TP's classes. The teacher responsible for each TP class will randomly choose the groups whose problems will be evaluated in each class. The weight of this component will be less than or equal to 15%;
2. Final exam, with a weight greater than or equal to 85%.
The final classification of the UC (NF) is calculated as follows:
NF = 20*(0.15*P + (1-0.15*P)*E)
where P and E designate, respectively, the grades (from 0 to 1) obtained by each student in the components 1 (problems) and 2 (final exam).
Examinations or Special Assignments
N/A
Internship work/project
N/A
Special assessment (TE, DA, ...)
Students with TE status are exempt from carrying out group work. In this case, the exam will have a weight of 100%.Classification improvement
Only the exam component is subject to improvement, keeping the calculation formula for the final classification.
Observations
Júri da UC:
Fátima Mota
Joaquim Agostinho Gomes Moreira
Pedro Pina Avelino
Pedro teles