Mechanics

Code:

F1006

Acronym:

F1006

Level:

100

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2014/2015 - 1S

Active?	Yes
Web Page:	https://moodle.up.pt/course/view.php?id=784
Responsible unit:	Department of Physics and Astronomy
Course/CS Responsible:	Bachelor in Physics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:CC	1	Plano de estudos a partir de 2014	2	-	6	63	162
MI:ERS	8	Plano Oficial desde ano letivo 2014	2	-	6	63	162

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

1. The Newtonian Mechanics in the context of Contemporary Physics.

2. Magnitudes, measurements, units and dimensions. Dimensional Analysis

3. Description of the motion. Vector concepts of displacement, velocity and acceleration. Decomposition in normal and tangential acceleration.

4. Newton's Laws

4.1 First law and concept of inertial frame.

4.2 Second Law; fundamental problem of mechanics. Laws of Force. Equations of motion. Reference to  numerical integration methods.

4.3 Third Law: forces as interactions.

4.4 Examples of motuion: constant acceleration,  damped motion , simple harmonic oscillator, curvilinear motion.

5. Conservation laws, energy and momentum.

5.1 Energy and Work. Potential Energy. motion with constratints.

5.2 Linear Momentum: elastic, inelastic collisions , and coefficient of restitution

6. Many Particle systems: the concept of center of mass (CM). Total momentum of a system. Collisions in the CM reference. Energy in the CM reference. Variable mass systems.

7. Angular momentum and moment of a force. Central forces. Angular momentum of a system of particles. Motions of a rigid body.  concept of moment of inertia.

8. Universal Law of Gravitation, Newton's laws and Kepler's laws. Orbits.

9. Relativity

9.1 Galilean Relativity

9.2 Invariance of the speed light. Space and time in relativity.

9.3 Velocity, momentum, energy and mass. Addition of speeds.

Mandatory literature

António Jorge Silvestre e Paulo Ivo Cortez Teixeira; Mecânica: uma introdução, Edições Colibri/Instituto Politécnico de Lisboa, 2013. ISBN: 978-989-689-295-1
Serway Raymond A.; Physics for scientists and engineers with modern physics. ISBN: 0-03-022657-0 (May be replaced by similar textbooks, Tipler, Halliday & Resnick, etc.)

Complementary Bibliography

Ford Kenneth W.; Classical and modern physics. ISBN: 0-536-00723-3 Vol. 1 (Veru Lucid writing)
Feynman Richard P.; The Feynman lectures on physics (Peerless textbook. The best for aspiring physicists. Not easy)

Teaching methods and learning activities

Theory classes, exercise classes and computing exercise classes. 

Software

Python com matplotlib, ipython, numpy e scipy

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	85,00
Teste	15,00
Total:	100,00

Eligibility for exams

Compulsory presence in 75% of the exercise  classes.

Calculation formula of final grade

MT: % grade of tests

EX: % grade in Final exam

NF: Final grade (0,20)


NF =20 * Max [EX, (5*Ex+1*MT)/6]

Classification improvement

General  Faculty of Science rules for exam component only.

Observations

Students who wish to dispense with the presence in the TP must be registered in the TURMA de DISPENSA.  They can still do the mini-tests.