Classical Mechanics

Code:

F101

Acronym:

F101

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2015/2016 - 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:AST	1	Plano de Estudos a partir de 2008	1	-	7,5	-
L:B	4	Plano de estudos a partir de 2008	3	-	7,5	-
L:F	60	Plano de estudos a partir de 2008	1	-	7,5	-
L:G	0	P.E - estudantes com 1ª matricula anterior a 09/10	3	-	7,5	-
		P.E - estudantes com 1ª matricula em 09/10	3	-	7,5	-
L:M	80	Plano de estudos a partir de 2009	2	-	7,5	-
L:Q	0	Plano de estudos Oficial	3	-	7,5	-
MI:EF	50	Plano de Estudos a partir de 2007	1	-	7,5	-

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 velocities.

Mandatory literature

Tipler Paul A.; Physics for scientists and engineers. ISBN: 9780716743897

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)
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.)
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 and Mosca is the course adopted textbook (chapters 1 to 13).

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 (%)
Defesa pública de dissertação, de relatório de projeto ou estágio, ou de tese	10,00
Exame	45,00
Participação presencial	18,00
Teste	27,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo
Frequência das aulas
Total:	0,00

Eligibility for exams

Compulsory presence in 75% of the exercise and computing 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

Assessment has two components:
Threoretical/Practical (TP=
Computational Practice (PC)   



Component TP - 18 points

PC component : 2 points



Component TP: 2 alternatives



A- With continuous assessment



A1. [3.6 max] weekly group problem solving in TP,with individual solution delivery in the classroom. Half of the delivered problems , chosen randomly are corrected in the same week . In total each student is graded on no less  4 problems.



A2. [ 5.4 marks] Two multiple-choice tests.



A3 . [9 marks] Final Test (normal session) . Students must have a minimum of 3.50 val in the sum of A1 and A2 components to gain access to this component.



B- Without continuous assessment

[ 18 points ]  Exam in Second Recurso) session .



PL component : 2 points

Delivery of computational work done in groups of 5 .

Classification improvement

Only for TP component in Exam.[18 val]

Observations

Grades  of computational Practice 2012/13 and 2013/14 are valid for 2014-15, except for students who declare that they waive the right  to  use this grade. In that case only the 2014  assesment will be used, even if lower than that of previous years.

The assessment of practical computing is done by filing a report from a group of 5 students at most,  on a set of assigned questions ( date to be set)