Mechanics
Keywords |
Classification |
Keyword |
OFICIAL |
Physics |
Instance: 2016/2017 - 1S
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.
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, elementary algebraic manipulations.
Program
T1 Presentation and FCI
T2 Units; dimensions, dimensional analysis
T3 Dimensional estimates; Fermi problems
T4 1D motion , velocity and acceleration; graphics; Motion maps
T5 integration. Euler's formula.
T6 2D and 3D motion. Vectors
T7 Freinet formulas: curvilinear movements
T8 Newton's Laws: Discussion
T9 Newton's Laws interactions and contact forces
T10 Newton's Laws: Examples
T11 Principles of Conservation; work and energy
T12 Motion in a force field and potential energy
T13 Oscillators and MHS: energy oscillators
T14 Many-particle systems; conservation of momentum and CM
T15 Collisions in 1D and 2D. CM reference Frame; coefficient os restitution.
T16 Variable mass systems.
T17 Angular momentum and torque.
T18 Rolling motion., Collisions and angular momentum
T19 Kepler Laws and gravitational orbits (1)
T20 Kepler Laws and gravitational orbits (2)
T21 Relative Motion; accelerated frames
T22 Frames in Mutual Rotation in rotation, FCI
T23 Relativity of Galileo; postulates of relativity,
T24 Simultaneity, dilation of time contraction of spaces
T25 Lorentz transformations: tachyons
T26 Momentum and energy in Relativity
Mandatory literature
Serway Raymond A.;
Principles of physics. ISBN: 0-534-46479-3 (Chapters 1 to 11)
Tipler Paul A.;
Physics for scientists and engineers. ISBN: 9780716743897 (Chapter 1 to 12 and R)
Complementary Bibliography
Feynman Richard P.;
The Feynman lectures on physics (Peerless textbook. The best for aspiring physicists. Not easy)
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
Tipler ou Serway are the course textbooks
Teaching methods and learning activities
Theory classes (with automatica response systems), exercise classes and computing exercise classes. Homework Problems
Software
Python com matplotlib, ipython, numpy e scipy
Evaluation Type
Distributed evaluation with final exam
Assessment Components
designation |
Weight (%) |
Participação presencial |
16,70 |
Teste |
66,60 |
Trabalho escrito |
16,70 |
Total: |
100,00 |
Amount of time allocated to each course unit
designation |
Time (hours) |
Estudo autónomo |
0,00 |
Frequência das aulas |
0,00 |
Total: |
0,00 |
Eligibility for exams
Compulsory presence in 75% of the exercise classes, for all students. Students who had attendance in previous years who show that they unable to attend TP classes cannot take part in the continuous assessment but will not be excluded of "frequência".
Calculation formula of final grade
Evaluation has Theoretical-practical component (TP) and C
Component TP: 2 alternatives
With continuous assessment A
A1. [16.7 %] Weekly problem solving in TP by
group, with group solution delivery in the
classroom.
Each group delivers 4 times in the semester
the top three problems determine grade.
A2 . [16.7 %] 4 homework problems in pressigned dates
to e delivered in 36h36h
A3 . [ 22.2 % ] Mid-term test
A4 [ 44.4 %] Final test (one first exam date)
B- without continuous assessment
Remedial Exam[100 %]
Examinations or Special Assignments
N7A
Internship work/project
N/A
Special assessment (TE, DA, ...)
N/A
Classification improvement
Only for TP component in Exam.[90%]
Observations