Mechanics

Code:

F1006

Acronym:

F1006

Level:

100

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:CC	3	Plano de estudos a partir de 2014	2	-	6	63	162
MI:ERS	14	Plano Oficial desde ano letivo 2014	2	-	6	63	162

Teaching language

Suitable for English-speaking students

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 know 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 (Course textbook)

Complementary Bibliography

Feynman Richard Phillips 1918-1988; The Feynman lectures on physics (Excelent, Peerless)
Ford Kenneth W.; Classical and modern physics. ISBN: 0-536-00872-8 (Lucid text)
António Jorge Silvestre e Paulo Ivo Cortez Teixeira; Mecânica: uma introdução, Colibri/Instituto Politécnico de Lisboa, 2013. ISBN: 978-989-689-295-1 (In portuguese)

Teaching methods and learning activities

Theory classes, exercise classes and computing exercise classes.

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	50,00
Participação presencial	20,00
Teste	30,00
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 Theoretical/Practical componente(TP=20)


Component TP - Max 20 mark



Component TP: 2 alternatives



A- With continuous assessment



A1. [4 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. [6 max] Two multiple-choice tests.



A3 . [10 max] 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

[20]  Exam in Second Recurso) session.

.

Classification improvement

Only for TP component in Exam.[20 val]